
Time bar (total: 13.8s)
| 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 |
| 232.0ms | 2 080× | 0 | invalid |
ival-log: 572.0ms (58.5% of total)ival-add: 218.0ms (22.3% of total)ival-sub: 96.0ms (9.8% of total)ival-mult: 72.0ms (7.4% of total)ival-true: 8.0ms (0.8% of total)exact: 6.0ms (0.6% of total)ival-assert: 4.0ms (0.4% of total)| 2× | egg-herbie |
| 4 080× | accelerator-lowering-fma.f32 |
| 4 080× | accelerator-lowering-fma.f64 |
| 1 030× | associate-+l- |
| 1 004× | +-lowering-+.f64 |
| 1 004× | +-lowering-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 351 |
| 1 | 261 | 347 |
| 2 | 845 | 341 |
| 3 | 3105 | 340 |
| 4 | 6413 | 340 |
| 5 | 7663 | 340 |
| 0 | 15 | 16 |
| 1 | 28 | 16 |
| 2 | 69 | 16 |
| 3 | 182 | 16 |
| 4 | 468 | 16 |
| 5 | 1434 | 16 |
| 6 | 2510 | 16 |
| 7 | 3329 | 16 |
| 8 | 3648 | 16 |
| 9 | 3670 | 16 |
| 10 | 3670 | 16 |
| 11 | 3730 | 16 |
| 12 | 3749 | 16 |
| 13 | 3749 | 16 |
| 0 | 3749 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
| Outputs |
|---|
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
(+.f64 (-.f64 (log.f64 z) t) (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (+.f64 x y)))) |
| Inputs |
|---|
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
(+ (- (+ (log (+ (neg x) y)) (log z)) t) (* (- a 1/2) (log t))) |
(+ (- (+ (log (+ x (neg y))) (log z)) t) (* (- a 1/2) (log t))) |
(+ (- (+ (log (+ x y)) (log (neg z))) t) (* (- a 1/2) (log t))) |
(+ (- (+ (log (+ x y)) (log z)) (neg t)) (* (- a 1/2) (log (neg t)))) |
(+ (- (+ (log (+ x y)) (log z)) t) (* (- (neg a) 1/2) (log t))) |
(neg (+ (- (+ (log (+ (neg x) y)) (log z)) t) (* (- a 1/2) (log t)))) |
(neg (+ (- (+ (log (+ x (neg y))) (log z)) t) (* (- a 1/2) (log t)))) |
(neg (+ (- (+ (log (+ x y)) (log (neg z))) t) (* (- a 1/2) (log t)))) |
(neg (+ (- (+ (log (+ x y)) (log z)) (neg t)) (* (- a 1/2) (log (neg t))))) |
(neg (+ (- (+ (log (+ x y)) (log z)) t) (* (- (neg a) 1/2) (log t)))) |
(+ (- (+ (log (+ y x)) (log z)) t) (* (- a 1/2) (log t))) |
(+ (- (+ (log (+ z y)) (log x)) t) (* (- a 1/2) (log t))) |
(+ (- (+ (log (+ t y)) (log z)) x) (* (- a 1/2) (log x))) |
(+ (- (+ (log (+ a y)) (log z)) t) (* (- x 1/2) (log t))) |
(+ (- (+ (log (+ x z)) (log y)) t) (* (- a 1/2) (log t))) |
(+ (- (+ (log (+ x t)) (log z)) y) (* (- a 1/2) (log y))) |
(+ (- (+ (log (+ x a)) (log z)) t) (* (- y 1/2) (log t))) |
(+ (- (+ (log (+ x y)) (log t)) z) (* (- a 1/2) (log z))) |
(+ (- (+ (log (+ x y)) (log a)) t) (* (- z 1/2) (log t))) |
(+ (- (+ (log (+ x y)) (log z)) a) (* (- t 1/2) (log a))) |
| Outputs |
|---|
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
(+ (log (+ x y)) (+ (* (+ a -1/2) (log t)) (- (log z) t))) |
(+ (- (+ (log (+ (neg x) y)) (log z)) t) (* (- a 1/2) (log t))) |
(+ (* (+ a -1/2) (log t)) (+ (log (- y x)) (- (log z) t))) |
(+ (- (+ (log (+ x (neg y))) (log z)) t) (* (- a 1/2) (log t))) |
(+ (* (+ a -1/2) (log t)) (+ (log (- x y)) (- (log z) t))) |
(+ (- (+ (log (+ x y)) (log (neg z))) t) (* (- a 1/2) (log t))) |
(+ (+ (log (+ x y)) (log (neg z))) (- (* (+ a -1/2) (log t)) t)) |
(+ (- (+ (log (+ x y)) (log z)) (neg t)) (* (- a 1/2) (log (neg t)))) |
(+ (+ (log (+ x y)) (+ (log z) t)) (* (+ a -1/2) (log (neg t)))) |
(+ (- (+ (log (+ x y)) (log z)) t) (* (- (neg a) 1/2) (log t))) |
(+ (log (+ x y)) (+ (* (log t) (- -1/2 a)) (- (log z) t))) |
(neg (+ (- (+ (log (+ (neg x) y)) (log z)) t) (* (- a 1/2) (log t)))) |
(+ (* (log t) (- 1/2 a)) (- (- t (log z)) (log (- y x)))) |
(neg (+ (- (+ (log (+ x (neg y))) (log z)) t) (* (- a 1/2) (log t)))) |
(+ (- (- t (log z)) (log (- x y))) (* (log t) (- 1/2 a))) |
(neg (+ (- (+ (log (+ x y)) (log (neg z))) t) (* (- a 1/2) (log t)))) |
(- (+ t (* (log t) (- 1/2 a))) (+ (log (+ x y)) (log (neg z)))) |
(neg (+ (- (+ (log (+ x y)) (log z)) (neg t)) (* (- a 1/2) (log (neg t))))) |
(- (* (log (neg t)) (- 1/2 a)) (+ (log (+ x y)) (+ (log z) t))) |
(neg (+ (- (+ (log (+ x y)) (log z)) t) (* (- (neg a) 1/2) (log t)))) |
(+ t (- (* (log t) (+ a 1/2)) (+ (log (+ x y)) (log z)))) |
(+ (- (+ (log (+ y x)) (log z)) t) (* (- a 1/2) (log t))) |
(+ (log (+ x y)) (+ (* (+ a -1/2) (log t)) (- (log z) t))) |
(+ (- (+ (log (+ z y)) (log x)) t) (* (- a 1/2) (log t))) |
(+ (* (+ a -1/2) (log t)) (+ (log (+ y z)) (- (log x) t))) |
(+ (- (+ (log (+ t y)) (log z)) x) (* (- a 1/2) (log x))) |
(+ (+ (log (+ y t)) (- (log z) x)) (* (+ a -1/2) (log x))) |
(+ (- (+ (log (+ a y)) (log z)) t) (* (- x 1/2) (log t))) |
(+ (log (+ y a)) (+ (* (log t) (+ x -1/2)) (- (log z) t))) |
(+ (- (+ (log (+ x z)) (log y)) t) (* (- a 1/2) (log t))) |
(+ (* (+ a -1/2) (log t)) (+ (log (+ x z)) (- (log y) t))) |
(+ (- (+ (log (+ x t)) (log z)) y) (* (- a 1/2) (log y))) |
(+ (log (+ x t)) (+ (* (+ a -1/2) (log y)) (- (log z) y))) |
(+ (- (+ (log (+ x a)) (log z)) t) (* (- y 1/2) (log t))) |
(+ (log (+ x a)) (+ (* (log t) (+ y -1/2)) (- (log z) t))) |
(+ (- (+ (log (+ x y)) (log t)) z) (* (- a 1/2) (log z))) |
(+ (log (+ x y)) (+ (log t) (- (* (log z) (+ a -1/2)) z))) |
(+ (- (+ (log (+ x y)) (log a)) t) (* (- z 1/2) (log t))) |
(+ (log (+ x y)) (+ (* (log t) (+ z -1/2)) (- (log a) t))) |
(+ (- (+ (log (+ x y)) (log z)) a) (* (- t 1/2) (log a))) |
(+ (log (+ x y)) (+ (* (log a) (+ t -1/2)) (- (log z) a))) |
(sort x y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 1 | (-2.3744416292551988e-287 9.285883584230809e+36 4.776829472986261e-143 7.235736889246434e-244 0.062211231758881255) | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 1 | 0 | - | 0 | - | (+.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 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (-.f64 a #s(literal 1/2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | cancellation | 1 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 1 |
| - | 0 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 1 |
| - | 0 | 2 | 252 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 66.0ms | 512× | 0 | valid |
Compiled 162 to 64 computations (60.5% saved)
ival-log: 21.0ms (55.6% of total)ival-add: 7.0ms (18.5% of total)ival-sub: 5.0ms (13.2% of total)ival-mult: 4.0ms (10.6% of total)ival-true: 1.0ms (2.6% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)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 | 192 | (+.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× | accelerator-lowering-fma.f32 |
| 4 080× | accelerator-lowering-fma.f64 |
| 1 004× | +-lowering-+.f64 |
| 1 004× | +-lowering-+.f32 |
| 1 000× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 58 |
| 1 | 28 | 58 |
| 2 | 69 | 58 |
| 3 | 182 | 58 |
| 4 | 468 | 58 |
| 5 | 1434 | 58 |
| 6 | 2510 | 58 |
| 7 | 3329 | 58 |
| 8 | 3648 | 58 |
| 9 | 3670 | 58 |
| 10 | 3670 | 58 |
| 11 | 3730 | 58 |
| 12 | 3749 | 58 |
| 13 | 3749 | 58 |
| 0 | 3749 | 57 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
(- (+ (log (+ x y)) (log z)) t) |
(+ (log (+ x y)) (log z)) |
(log (+ x y)) |
(+ x y) |
x |
y |
(log z) |
z |
t |
(* (- a 1/2) (log t)) |
(- a 1/2) |
a |
1/2 |
(log t) |
| Outputs |
|---|
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
(+.f64 (-.f64 (log.f64 z) t) (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (+.f64 x y)))) |
(- (+ (log (+ x y)) (log z)) t) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(+ (log (+ x y)) (log z)) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(log (+ x y)) |
(log.f64 (+.f64 x y)) |
(+ x y) |
(+.f64 x y) |
x |
y |
(log z) |
(log.f64 z) |
z |
t |
(* (- a 1/2) (log t)) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) #s(literal 0 binary64)) |
(- a 1/2) |
(+.f64 a #s(literal -1/2 binary64)) |
a |
1/2 |
#s(literal 1/2 binary64) |
(log t) |
(log.f64 t) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
| ✓ | accuracy | 99.8% | (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
| ✓ | accuracy | 99.8% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| ✓ | accuracy | 99.2% | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 32.0ms | 256× | 0 | valid |
Compiled 60 to 17 computations (71.7% saved)
ival-log: 10.0ms (55.4% of total)ival-add: 4.0ms (22.2% of total)ival-sub: 2.0ms (11.1% of total)ival-mult: 2.0ms (11.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t)))> |
#<alt (- (+ (log (+ x y)) (log z)) t)> |
#<alt (+ (log (+ x y)) (log z))> |
#<alt (log (+ x y))> |
#<alt (* (- a 1/2) (log t))> |
| Outputs |
|---|
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t)> |
#<alt (- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t)> |
#<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)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)> |
#<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)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)> |
#<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)> |
#<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)> |
#<alt (- (+ (log x) (+ (log z) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log x) (+ (log z) (+ (* (log t) (- a 1/2)) (/ y x)))) t)> |
#<alt (- (+ (log x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))) t)> |
#<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)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* (log t) (- a 1/2)) (/ x y)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* (log t) (- a 1/2)) (/ x y))))) t)> |
#<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)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* (log t) (- a 1/2)) (/ x y))))) t)> |
#<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)> |
#<alt (- (+ (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)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)> |
#<alt (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2))))> |
#<alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))> |
#<alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))> |
#<alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))> |
#<alt (* -1 t)> |
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))> |
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))> |
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)> |
#<alt (* a (log t))> |
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))> |
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))> |
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))> |
#<alt (* a (log t))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))> |
#<alt (- (+ (log y) (log z)) t)> |
#<alt (- (+ (log y) (+ (log z) (/ x y))) t)> |
#<alt (- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t)> |
#<alt (- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) t)> |
#<alt (- (+ (log z) (* -1 (log (/ 1 x)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) t)> |
#<alt (- (+ (log x) (log z)) t)> |
#<alt (- (+ (log x) (+ (log z) (/ y x))) t)> |
#<alt (- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) t)> |
#<alt (- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) t)> |
#<alt (- (+ (log z) (* -1 (log (/ 1 y)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) t)> |
#<alt (- (+ (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)> |
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) t)> |
#<alt (- (+ (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)> |
#<alt (- (+ (log z) (log (+ x y))) t)> |
#<alt (- (+ (log z) (log (+ x y))) t)> |
#<alt (- (+ (log z) (log (+ x y))) t)> |
#<alt (- (+ (log z) (log (+ x y))) t)> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (+ (log (+ x y)) (* -1 t)))> |
#<alt (+ (log z) (+ (log (+ x y)) (* -1 t)))> |
#<alt (+ (log z) (+ (log (+ x y)) (* -1 t)))> |
#<alt (* -1 t)> |
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))> |
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))> |
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t)))))> |
#<alt (+ (log y) (log z))> |
#<alt (+ (log y) (+ (log z) (/ x y)))> |
#<alt (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))))> |
#<alt (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))> |
#<alt (+ (log z) (* -1 (log (/ 1 x))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x)))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))> |
#<alt (+ (log -1) (+ (log z) (* -1 (log (/ -1 x)))))> |
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x))))> |
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))))> |
#<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)))))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (+ (log z) (/ y x)))> |
#<alt (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))))> |
#<alt (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))))> |
#<alt (+ (log z) (* -1 (log (/ 1 y))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y)))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))> |
#<alt (+ (log -1) (+ (log z) (* -1 (log (/ -1 y)))))> |
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y))))> |
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))))> |
#<alt (+ (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)))))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (log y)> |
#<alt (+ (log y) (/ x y))> |
#<alt (+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))> |
#<alt (+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (/ y x))> |
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x)))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))> |
#<alt (log x)> |
#<alt (+ (log x) (/ y x))> |
#<alt (+ (log x) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))> |
#<alt (+ (log x) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (+ (* -1 (log (/ 1 y))) (/ x y))> |
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))> |
#<alt (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (/ x y)))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))> |
#<alt (* -1/2 (log t))> |
#<alt (+ (* -1/2 (log t)) (* a (log t)))> |
#<alt (+ (* -1/2 (log t)) (* a (log t)))> |
#<alt (+ (* -1/2 (log t)) (* a (log t)))> |
#<alt (* a (log t))> |
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))> |
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))> |
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))> |
#<alt (* a (log t))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))> |
#<alt (* (log t) (- a 1/2))> |
#<alt (* (log t) (- a 1/2))> |
#<alt (* (log t) (- a 1/2))> |
#<alt (* (log t) (- a 1/2))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 93.0ms | z | @ | 0 | (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
| 31.0ms | z | @ | -inf | (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
| 14.0ms | z | @ | inf | (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
| 6.0ms | t | @ | 0 | (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
| 6.0ms | t | @ | 0 | (* (- a 1/2) (log t)) |
| 1× | batch-egg-rewrite |
| 5 670× | accelerator-lowering-fma.f32 |
| 5 670× | accelerator-lowering-fma.f64 |
| 4 278× | *-lowering-*.f32 |
| 4 278× | *-lowering-*.f64 |
| 3 538× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 39 |
| 1 | 93 | 39 |
| 2 | 828 | 39 |
| 0 | 8271 | 38 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
(- (+ (log (+ x y)) (log z)) t) |
(+ (log (+ x y)) (log z)) |
(log (+ x y)) |
(* (- a 1/2) (log t)) |
| 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 (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))) |
(+.f64 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 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 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 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))) |
(+.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (+.f64 x y))) (-.f64 (log.f64 z) t)) |
(+.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 x y) z))) (-.f64 #s(literal 0 binary64) t)) |
(+.f64 (+.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (*.f64 (log.f64 t) a)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(+.f64 (+.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (*.f64 a (log.f64 t))) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) |
(+.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 (+.f64 x y)) t)) |
(+.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 #s(literal 0 binary64) t)) (log.f64 (*.f64 (+.f64 x y) z))) |
(+.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 z) t)) (log.f64 (+.f64 x y))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.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 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))) (/.f64 (pow.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) #s(literal 2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x 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 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (+.f64 (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (log.f64 (*.f64 (+.f64 x y) z)))))) (/.f64 (pow.f64 (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (+.f64 (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) (log.f64 (*.f64 (+.f64 x y) z))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))) (/.f64 (pow.f64 (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) #s(literal 2 binary64)) (+.f64 (log.f64 (*.f64 (+.f64 x 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) (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))))) (/.f64 (*.f64 t (*.f64 t t)) (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))))) |
(-.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) (/.f64 (*.f64 t t) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) |
(-.f64 (+.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 0 binary64)) t) |
(fma.f64 a (log.f64 t) (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(fma.f64 (log.f64 t) a (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
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(neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y))) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x y) z))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y))) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x y) z)))) (log.f64 (/.f64 (+.f64 x y) z)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 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 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x y)) (log.f64 (/.f64 (+.f64 x y) z))))) |
(/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (log.f64 (/.f64 (+.f64 x y) z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (-.f64 #s(literal 0 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 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x y)) (log.f64 (/.f64 (+.f64 x y) z)))))) |
(/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x y) z)))) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x y) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x y) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x y)) (log.f64 (/.f64 (+.f64 x y) z)))) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 z (+.f64 x y))) (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 z (+.f64 x y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x y) z))))) |
(/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 z (+.f64 x y)))) (log.f64 (/.f64 z (+.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x y) z))) (*.f64 (log.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (pow.f64 (log.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 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 (neg.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x y) z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x y) z))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 z (+.f64 x y))))) (neg.f64 (log.f64 (/.f64 z (+.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x y) z))) (fma.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x y) z))) (*.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x y) z))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x y) z)))) (*.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x y) z))))) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x y) z))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x y) z))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #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 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x y)) (log.f64 (/.f64 (+.f64 x y) z)))))) |
(*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x y) z)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 (+.f64 x y) z)) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x y) z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x y) z))))) |
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x y) z))) |
(*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 z (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 x y))))) |
(log.f64 (+.f64 x y)) |
(+.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(+.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(+.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(+.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (log.f64 (-.f64 x y)))) |
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (log.f64 (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (log.f64 (-.f64 x y))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 x y)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (log.f64 (-.f64 y x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 3 binary64))) (fma.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)))) (fma.f64 (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))) (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))) (*.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (log.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fma.f64 (log.f64 (-.f64 x y)) (log.f64 (-.f64 x y)) (*.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (log.f64 (-.f64 x y)))))) |
(/.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 y (-.f64 y x) (*.f64 x x))) (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) (+.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (log.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (log.f64 (-.f64 x y)) (log.f64 (-.f64 x y)))) (+.f64 (log.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (log.f64 (-.f64 x y)))) |
(+.f64 (*.f64 (log.f64 t) a) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (*.f64 (log.f64 t) a)) |
(+.f64 (*.f64 a (log.f64 t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) (*.f64 a (log.f64 t))) |
(fma.f64 a (log.f64 t) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) |
(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 (log.f64 t) a)) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (*.f64 a (log.f64 t))) |
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/2 binary64)) (*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/2 binary64)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) |
(/.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 (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 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)))) (-.f64 #s(literal 0 binary64) (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)))) (+.f64 #s(literal -1/2 binary64) (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t))) (-.f64 #s(literal 0 binary64) (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))) (+.f64 #s(literal -1/2 binary64) (neg.f64 a))) |
(/.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)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a (log.f64 t)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) #s(literal 3 binary64))) (fma.f64 (*.f64 a (log.f64 t)) (*.f64 a (log.f64 t)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) (*.f64 (*.f64 a (log.f64 t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 t) a) (*.f64 (log.f64 t) a)) (*.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)))) |
(/.f64 (-.f64 (*.f64 (*.f64 a (log.f64 t)) (*.f64 a (log.f64 t))) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))) (-.f64 (*.f64 a (log.f64 t)) (*.f64 #s(literal -1/2 binary64) (log.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 (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 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 #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)))) |
| 1× | egg-herbie |
| 11 574× | accelerator-lowering-fma.f32 |
| 11 574× | accelerator-lowering-fma.f64 |
| 5 756× | +-lowering-+.f64 |
| 5 756× | +-lowering-+.f32 |
| 4 892× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 381 | 3139 |
| 1 | 1098 | 2980 |
| 2 | 3509 | 2941 |
| 0 | 8106 | 2791 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (log 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)) |
| 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 y))) (-.f64 (log.f64 z) 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) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (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)) (-.f64 (log.f64 z) t)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 x) t))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(+.f64 (log.f64 z) (+.f64 (/.f64 y x) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 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 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 x))) t)) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) |
(+.f64 (log.f64 z) (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 x)))) t)) |
(- (+ (log -1) (+ (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)) (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 t (log.f64 #s(literal -1 binary64)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.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 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x) (-.f64 #s(literal 0 binary64) 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 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (+.f64 y (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))) x)) x)) (-.f64 (log.f64 #s(literal -1 binary64)) t)) |
(- (+ (log x) (+ (log z) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 x) t))) |
(- (+ (log x) (+ (log z) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(+.f64 (log.f64 z) (+.f64 (/.f64 y x) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 x) t)))) |
(- (+ (log x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))) t) |
(+.f64 (log.f64 z) (-.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 x))) 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 (log.f64 x) (-.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))) 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) |
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(+.f64 (-.f64 (log.f64 (+.f64 y x)) (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 y x)) (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 y x)) (log.f64 (/.f64 #s(literal -1 binary64) z))) (-.f64 (log.f64 #s(literal -1 binary64)) t)) |
(+ (log z) (log (+ x y))) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) |
(* -1 t) |
(-.f64 #s(literal 0 binary64) t) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))) |
(* -1 t) |
(-.f64 #s(literal 0 binary64) t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (-.f64 #s(literal 0 binary64) t)) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (-.f64 #s(literal 0 binary64) t)) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(fma.f64 t (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (-.f64 #s(literal 0 binary64) t)) |
(+ (log y) (log z)) |
(+.f64 (log.f64 y) (log.f64 z)) |
(+ (log y) (+ (log z) (/ x y))) |
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (/.f64 x y))) |
(+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 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 y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 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 z) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) |
(+.f64 (/.f64 y x) (+.f64 (log.f64 z) (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))))) |
(+.f64 (log.f64 z) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x 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 -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) (-.f64 #s(literal 0 binary64) 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 #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 y (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))) x)) x) (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
(+ (log x) (log z)) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log x) (+ (log z) (/ y x))) |
(+.f64 (/.f64 y x) (+.f64 (log.f64 z) (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 z) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y 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 -1) (+ (log z) (* -1 (log (/ -1 y))))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 z) (log.f64 (/.f64 #s(literal -1 binary64) y)))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 x y) (-.f64 (log.f64 z) (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) (-.f64 #s(literal 0 binary64) 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 (log.f64 z) (+.f64 (/.f64 (+.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (*.f64 x x) y)))) y)) y) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x 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 -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 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x) (-.f64 #s(literal 0 binary64) y)) x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) |
(+.f64 (/.f64 (+.f64 y (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))) x)) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y 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 -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 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 x y) (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 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) y) (-.f64 #s(literal 0 binary64) x)) y)) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))) |
(+.f64 (/.f64 (+.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 (*.f64 x x) y)))) 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 (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 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 t) a) (log.f64 t))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 t) a) (log.f64 t))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (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))) |
(*.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)))) |
Compiled 19 673 to 1 597 computations (91.9% saved)
24 alts after pruning (24 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 523 | 24 | 547 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 524 | 24 | 548 |
| Status | Accuracy | Program |
|---|---|---|
| 50.7% | (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) | |
| 58.6% | (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))) | |
| 74.9% | (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (+.f64 (log.f64 (+.f64 x y)) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) | |
| 77.2% | (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| ▶ | 58.5% | (fma.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 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
| 64.0% | (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)) | |
| 50.7% | (fma.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x y) z))) (-.f64 #s(literal 0 binary64) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))) | |
| 57.3% | (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (+.f64 (log.f64 z) (log.f64 (+.f64 y x)))) | |
| 63.7% | (/.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)))) | |
| 63.6% | (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (+.f64 a #s(literal 1/2 binary64)))) | |
| 77.2% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) | |
| ▶ | 43.2% | (-.f64 #s(literal 0 binary64) t) |
| 99.5% | (+.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (+.f64 x y))) (-.f64 (log.f64 z) t)) | |
| 71.9% | (+.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))))) | |
| 79.9% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) | |
| 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))))) | |
| ▶ | 79.9% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))))) |
| ▶ | 99.6% | (+.f64 (-.f64 (+.f64 (log.f64 y) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 76.5% | (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 99.5% | (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 68.9% | (+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) | |
| 32.6% | (*.f64 (log.f64 t) a) | |
| 89.8% | (*.f64 t (+.f64 #s(literal -1 binary64) (+.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))))) | |
| ▶ | 82.3% | (*.f64 a (+.f64 (log.f64 t) (/.f64 (+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) a))) |
Compiled 1 254 to 808 computations (35.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) a) |
| ✓ | cost-diff | 0 | (log.f64 t) |
| ✓ | cost-diff | 0 | (+.f64 (log.f64 t) (/.f64 (+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) a)) |
| ✓ | cost-diff | 832 | (*.f64 a (+.f64 (log.f64 t) (/.f64 (+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) a))) |
| ✓ | 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 | 192 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 320 | (*.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)))) |
| ✓ | cost-diff | 0 | (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) |
| ✓ | cost-diff | 192 | (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64))) |
| ✓ | cost-diff | 320 | (fma.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 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) t) |
| ✓ | cost-diff | 0 | (log.f64 y) |
| ✓ | cost-diff | 0 | (+.f64 (log.f64 y) (log.f64 z)) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (log.f64 y) (log.f64 z)) t) |
| ✓ | cost-diff | 192 | (+.f64 (-.f64 (+.f64 (log.f64 y) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 12 826× | accelerator-lowering-fma.f32 |
| 12 826× | accelerator-lowering-fma.f64 |
| 2 398× | +-lowering-+.f64 |
| 2 398× | +-lowering-+.f32 |
| 2 338× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 350 |
| 1 | 118 | 338 |
| 2 | 296 | 338 |
| 3 | 844 | 338 |
| 4 | 2766 | 336 |
| 5 | 5513 | 336 |
| 6 | 7811 | 336 |
| 0 | 8156 | 318 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (- (+ (log y) (log z)) t) (* (- a 1/2) (log t))) |
(- (+ (log y) (log z)) t) |
(+ (log y) (log z)) |
(log y) |
y |
(log z) |
z |
t |
(* (- a 1/2) (log t)) |
(- a 1/2) |
a |
1/2 |
(log t) |
(- 0 t) |
0 |
t |
(+ (* (* (+ (* a (* a a)) -1/8) (log t)) (/ 1 (+ (* a a) (+ (* a 1/2) 1/4)))) (- (log (* (+ x y) z)) t)) |
(* (+ (* a (* a a)) -1/8) (log t)) |
(+ (* a (* a a)) -1/8) |
a |
(* a a) |
-1/8 |
(log t) |
t |
(/ 1 (+ (* a a) (+ (* a 1/2) 1/4))) |
1 |
(+ (* a a) (+ (* a 1/2) 1/4)) |
(+ (* a 1/2) 1/4) |
1/2 |
1/4 |
(- (log (* (+ x y) z)) t) |
(log (* (+ x y) z)) |
(* (+ x y) z) |
(+ x y) |
x |
y |
z |
(+ (- (+ (log (+ x y)) (log z)) t) (* (* (+ (* a a) -1/4) (log t)) (/ 1 (+ a 1/2)))) |
(- (+ (log (+ x y)) (log z)) t) |
(+ (log (+ x y)) (log z)) |
(log (+ x y)) |
(+ x y) |
x |
y |
(log z) |
z |
t |
(* (* (+ (* a a) -1/4) (log t)) (/ 1 (+ a 1/2))) |
(* (+ (* a a) -1/4) (log t)) |
(+ (* a a) -1/4) |
a |
-1/4 |
(log t) |
(/ 1 (+ a 1/2)) |
1 |
(+ a 1/2) |
1/2 |
(* a (+ (log t) (/ (+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) a))) |
a |
(+ (log t) (/ (+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) a)) |
(log t) |
t |
(/ (+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) a) |
(+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) |
(log (+ y x)) |
(+ y x) |
y |
x |
(- (+ (* (log t) -1/2) (log z)) t) |
(+ (* (log t) -1/2) (log z)) |
-1/2 |
(log z) |
z |
| Outputs |
|---|
(+ (- (+ (log y) (log z)) t) (* (- a 1/2) (log t))) |
(+.f64 (log.f64 y) (-.f64 (log.f64 z) (fma.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a) t))) |
(- (+ (log y) (log z)) t) |
(+.f64 (log.f64 y) (-.f64 (log.f64 z) t)) |
(+ (log y) (log z)) |
(+.f64 (log.f64 y) (log.f64 z)) |
(log y) |
(log.f64 y) |
y |
(log z) |
(log.f64 z) |
z |
t |
(* (- a 1/2) (log t)) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) #s(literal 0 binary64)) |
(- a 1/2) |
(+.f64 a #s(literal -1/2 binary64)) |
a |
1/2 |
#s(literal 1/2 binary64) |
(log t) |
(log.f64 t) |
(- 0 t) |
(-.f64 #s(literal 0 binary64) t) |
0 |
#s(literal 0 binary64) |
t |
(+ (* (* (+ (* a (* a a)) -1/8) (log t)) (/ 1 (+ (* a a) (+ (* a 1/2) 1/4)))) (- (log (* (+ x y) z)) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (/.f64 (log.f64 t) (fma.f64 a (-.f64 #s(literal -1/2 binary64) a) #s(literal -1/4 binary64))) t)) |
(* (+ (* a (* a a)) -1/8) (log t)) |
(*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))) |
(+ (* a (* a a)) -1/8) |
(fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) |
a |
(* a a) |
(*.f64 a a) |
-1/8 |
#s(literal -1/8 binary64) |
(log t) |
(log.f64 t) |
t |
(/ 1 (+ (* a a) (+ (* a 1/2) 1/4))) |
(/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
1 |
#s(literal 1 binary64) |
(+ (* a a) (+ (* a 1/2) 1/4)) |
(fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) |
(+ (* a 1/2) 1/4) |
(fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
1/4 |
#s(literal 1/4 binary64) |
(- (log (* (+ x y) z)) t) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) |
(log (* (+ x y) z)) |
(log.f64 (*.f64 z (+.f64 y x))) |
(* (+ x y) z) |
(*.f64 z (+.f64 y x)) |
(+ x y) |
(+.f64 y x) |
x |
y |
z |
(+ (- (+ (log (+ x y)) (log z)) t) (* (* (+ (* a a) -1/4) (log t)) (/ 1 (+ a 1/2)))) |
(+.f64 (-.f64 (log.f64 z) t) (fma.f64 (log.f64 t) (/.f64 (fma.f64 a a #s(literal -1/4 binary64)) (+.f64 a #s(literal 1/2 binary64))) (log.f64 (+.f64 y x)))) |
(- (+ (log (+ x y)) (log z)) t) |
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) |
(+ (log (+ x y)) (log z)) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(log (+ x y)) |
(log.f64 (+.f64 y x)) |
(+ x y) |
(+.f64 y x) |
x |
y |
(log z) |
(log.f64 z) |
z |
t |
(* (* (+ (* a a) -1/4) (log t)) (/ 1 (+ a 1/2))) |
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) #s(literal 0 binary64)) |
(* (+ (* a a) -1/4) (log t)) |
(fma.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64)) #s(literal 0 binary64)) |
(+ (* a a) -1/4) |
(fma.f64 a a #s(literal -1/4 binary64)) |
a |
-1/4 |
#s(literal -1/4 binary64) |
(log t) |
(log.f64 t) |
(/ 1 (+ a 1/2)) |
(/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ a 1/2) |
(+.f64 a #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* a (+ (log t) (/ (+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) a))) |
(fma.f64 a (log.f64 t) (+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t))) |
a |
(+ (log t) (/ (+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) a)) |
(+.f64 (log.f64 t) (/.f64 (+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) a)) |
(log t) |
(log.f64 t) |
t |
(/ (+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) a) |
(/.f64 (+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) a) |
(+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) |
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) |
(log (+ y x)) |
(log.f64 (+.f64 y x)) |
(+ y x) |
(+.f64 y x) |
y |
x |
(- (+ (* (log t) -1/2) (log z)) t) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) |
(+ (* (log t) -1/2) (log z)) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) |
-1/2 |
#s(literal -1/2 binary64) |
(log z) |
(log.f64 z) |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 (+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) a) |
| ✓ | accuracy | 99.5% | (+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) |
| ✓ | accuracy | 99.3% | (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) |
| ✓ | accuracy | 82.5% | (*.f64 a (+.f64 (log.f64 t) (/.f64 (+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) a))) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) |
| ✓ | accuracy | 99.8% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 99.2% | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| ✓ | accuracy | 80.2% | (*.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)))) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) |
| ✓ | accuracy | 77.7% | (log.f64 (*.f64 (+.f64 x y) z)) |
| ✓ | accuracy | 72.8% | (fma.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 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) t) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 (log.f64 y) (log.f64 z)) t) |
| ✓ | accuracy | 99.8% | (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
| ✓ | accuracy | 99.8% | (+.f64 (-.f64 (+.f64 (log.f64 y) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| ✓ | accuracy | 99.2% | (+.f64 (log.f64 y) (log.f64 z)) |
| 110.0ms | 256× | 0 | valid |
Compiled 338 to 55 computations (83.7% saved)
ival-log: 25.0ms (34.4% of total)ival-mult: 19.0ms (26.2% of total)ival-add: 16.0ms (22% of total)ival-sub: 7.0ms (9.6% of total)ival-div: 5.0ms (6.9% of total)exact: 1.0ms (1.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (- (+ (log y) (log z)) t) (* (- a 1/2) (log t)))> |
#<alt (- (+ (log y) (log z)) t)> |
#<alt (+ (log y) (log z))> |
#<alt (log y)> |
#<alt (- 0 t)> |
#<alt (+ (* (* (+ (* a (* a a)) -1/8) (log t)) (/ 1 (+ (* a a) (+ (* a 1/2) 1/4)))) (- (log (* (+ x y) z)) t))> |
#<alt (+ (* a a) (+ (* a 1/2) 1/4))> |
#<alt (* (+ (* a (* a a)) -1/8) (log t))> |
#<alt (+ (* a (* a a)) -1/8)> |
#<alt (* (* (+ (* a a) -1/4) (log t)) (/ 1 (+ a 1/2)))> |
#<alt (+ (- (+ (log (+ x y)) (log z)) t) (* (* (+ (* a a) -1/4) (log t)) (/ 1 (+ a 1/2))))> |
#<alt (- (+ (log (+ x y)) (log z)) t)> |
#<alt (+ (log (+ x y)) (log z))> |
#<alt (* a (+ (log t) (/ (+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) a)))> |
#<alt (+ (log t) (/ (+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) a))> |
#<alt (log t)> |
#<alt (/ (+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) a)> |
#<alt (* (- a 1/2) (log t))> |
#<alt (log (* (+ x y) z))> |
#<alt (/ 1 (+ (* a a) (+ (* a 1/2) 1/4)))> |
#<alt (* (+ (* a a) -1/4) (log t))> |
#<alt (+ (* (log t) -1/2) (log z))> |
#<alt (+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t))> |
| Outputs |
|---|
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log y) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)> |
#<alt (+ (log y) (+ (log z) (* (log t) (- a 1/2))))> |
#<alt (+ (log y) (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2)))))> |
#<alt (+ (log y) (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2)))))> |
#<alt (+ (log y) (+ (log z) (+ (* -1 t) (* (log t) (- a 1/2)))))> |
#<alt (* -1 t)> |
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log y) t) (/ (log z) t))) 1))> |
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log y) t) (/ (log z) t))) 1))> |
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log y) t) (/ (log z) t))) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log y) (+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))> |
#<alt (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t)> |
#<alt (- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t)> |
#<alt (- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t)> |
#<alt (* a (log t))> |
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a)))> |
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a)))> |
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a)))> |
#<alt (* a (log t))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a)))))> |
#<alt (- (+ (log y) (log z)) t)> |
#<alt (- (+ (log y) (log z)) t)> |
#<alt (- (+ (log y) (log z)) t)> |
#<alt (- (+ (log y) (log z)) t)> |
#<alt (- (+ (log z) (* -1 (log (/ 1 y)))) t)> |
#<alt (- (+ (log z) (* -1 (log (/ 1 y)))) t)> |
#<alt (- (+ (log z) (* -1 (log (/ 1 y)))) t)> |
#<alt (- (+ (log z) (* -1 (log (/ 1 y)))) t)> |
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)> |
#<alt (- (+ (log y) (log z)) t)> |
#<alt (- (+ (log y) (log z)) t)> |
#<alt (- (+ (log y) (log z)) t)> |
#<alt (- (+ (log y) (log z)) t)> |
#<alt (- (+ (log y) (* -1 (log (/ 1 z)))) t)> |
#<alt (- (+ (log y) (* -1 (log (/ 1 z)))) t)> |
#<alt (- (+ (log y) (* -1 (log (/ 1 z)))) t)> |
#<alt (- (+ (log y) (* -1 (log (/ 1 z)))) t)> |
#<alt (- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t)> |
#<alt (- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t)> |
#<alt (- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t)> |
#<alt (- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t)> |
#<alt (+ (log y) (log z))> |
#<alt (+ (log y) (+ (log z) (* -1 t)))> |
#<alt (+ (log y) (+ (log z) (* -1 t)))> |
#<alt (+ (log y) (+ (log z) (* -1 t)))> |
#<alt (* -1 t)> |
#<alt (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))> |
#<alt (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))> |
#<alt (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log y) (log z)) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log y) (log z)) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log y) (log z)) t)))))> |
#<alt (+ (log y) (log z))> |
#<alt (+ (log y) (log z))> |
#<alt (+ (log y) (log z))> |
#<alt (+ (log y) (log z))> |
#<alt (+ (log z) (* -1 (log (/ 1 y))))> |
#<alt (+ (log z) (* -1 (log (/ 1 y))))> |
#<alt (+ (log z) (* -1 (log (/ 1 y))))> |
#<alt (+ (log z) (* -1 (log (/ 1 y))))> |
#<alt (+ (log -1) (+ (log z) (* -1 (log (/ -1 y)))))> |
#<alt (+ (log -1) (+ (log z) (* -1 (log (/ -1 y)))))> |
#<alt (+ (log -1) (+ (log z) (* -1 (log (/ -1 y)))))> |
#<alt (+ (log -1) (+ (log z) (* -1 (log (/ -1 y)))))> |
#<alt (+ (log y) (log z))> |
#<alt (+ (log y) (log z))> |
#<alt (+ (log y) (log z))> |
#<alt (+ (log y) (log z))> |
#<alt (+ (log y) (* -1 (log (/ 1 z))))> |
#<alt (+ (log y) (* -1 (log (/ 1 z))))> |
#<alt (+ (log y) (* -1 (log (/ 1 z))))> |
#<alt (+ (log y) (* -1 (log (/ 1 z))))> |
#<alt (+ (log -1) (+ (log y) (* -1 (log (/ -1 z)))))> |
#<alt (+ (log -1) (+ (log y) (* -1 (log (/ -1 z)))))> |
#<alt (+ (log -1) (+ (log y) (* -1 (log (/ -1 z)))))> |
#<alt (+ (log -1) (+ (log y) (* -1 (log (/ -1 z)))))> |
#<alt (log y)> |
#<alt (log y)> |
#<alt (log y)> |
#<alt (log y)> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (* -1 (log (/ 1 y)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 y))))> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t)> |
#<alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t)> |
#<alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (- (* -1 (* a (+ (* -2 (log t)) (* 2 (log t))))) (* -1 (log t)))))) t)> |
#<alt (- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (- (* a (- (* 2 (* a (+ (* -2 (log t)) (* 2 (log t))))) (+ (* -2 (log t)) (* 2 (log t))))) (* -1 (log t)))))) t)> |
#<alt (* a (log t))> |
#<alt (* a (- (+ (log t) (/ (log (* z (+ x y))) a)) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (+ (* -1/4 (log t)) (* 1/4 (log t))) (pow a 2))) (/ (log (* z (+ x y))) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* 1/2 (/ (+ (* -1/4 (log t)) (* 1/4 (log t))) (pow a 3))) (/ (log (* z (+ x y))) a))) (+ (* -1/4 (/ (log t) (pow a 2))) (+ (* 1/4 (/ (log t) (pow a 2))) (+ (* 1/2 (/ (log t) a)) (/ t a))))))> |
#<alt (* a (log t))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (+ (* -1 (/ (+ (* -1/4 (log t)) (* 1/4 (log t))) a)) (* -1/2 (log t)))) t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (log t)) (* 1/4 (log t))) a)) (+ (* -1/4 (log t)) (* 1/4 (log t)))) a)) (* -1/2 (log t)))) t) a)))))> |
#<alt (+ (log (* z (+ x y))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))> |
#<alt (+ (log (* z (+ x y))) (+ (* -1 t) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))> |
#<alt (+ (log (* z (+ x y))) (+ (* -1 t) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))> |
#<alt (+ (log (* z (+ x y))) (+ (* -1 t) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))> |
#<alt (* -1 t)> |
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 3) 1/8)) (* t (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) (/ (log (* z (+ x y))) t)) 1))> |
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 3) 1/8)) (* t (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) (/ (log (* z (+ x y))) t)) 1))> |
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 3) 1/8)) (* t (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) (/ (log (* z (+ x y))) t)) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))) t)))))> |
#<alt (- (+ (log (* y z)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))) t)> |
#<alt (- (+ (log (* y z)) (+ (/ x y) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log (* y z)) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log (* y z)) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (/ y x) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (/ y x) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))))) t)> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (/ y x) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t)> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t)> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t)> |
#<alt (- (+ (log (* x z)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))) t)> |
#<alt (- (+ (log (* x z)) (+ (/ y x) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log (* x z)) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log (* x z)) (+ (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (/ x y) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))))) t)> |
#<alt (- (+ (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 t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))))) t)> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (+ (/ x y) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t)> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t)> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t)> |
#<alt 1/4> |
#<alt (+ 1/4 (* 1/2 a))> |
#<alt (+ 1/4 (* a (+ 1/2 a)))> |
#<alt (+ 1/4 (* a (+ 1/2 a)))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (* 1/2 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 a)))))> |
#<alt (* (pow a 2) (+ 1 (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 a)))))> |
#<alt (pow a 2)> |
#<alt (* (pow a 2) (+ 1 (* 1/2 (/ 1 a))))> |
#<alt (* (pow a 2) (+ 1 (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 a)))))> |
#<alt (* (pow a 2) (+ 1 (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 a)))))> |
#<alt (* -1/8 (log t))> |
#<alt (+ (* -1/8 (log t)) (* (pow a 3) (log t)))> |
#<alt (+ (* -1/8 (log t)) (* (pow a 3) (log t)))> |
#<alt (+ (* -1/8 (log t)) (* (pow a 3) (log t)))> |
#<alt (* (pow a 3) (log t))> |
#<alt (* (pow a 3) (+ (log t) (* -1/8 (/ (log t) (pow a 3)))))> |
#<alt (* (pow a 3) (+ (log t) (* -1/8 (/ (log t) (pow a 3)))))> |
#<alt (* (pow a 3) (+ (log t) (* -1/8 (/ (log t) (pow a 3)))))> |
#<alt (* (pow a 3) (log t))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (log t)) (* 1/8 (/ (log t) (pow a 3))))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (log t)) (* 1/8 (/ (log t) (pow a 3))))))> |
#<alt (* -1 (* (pow a 3) (+ (* -1 (log t)) (* 1/8 (/ (log t) (pow a 3))))))> |
#<alt (* (log t) (- (pow a 3) 1/8))> |
#<alt (* (log t) (- (pow a 3) 1/8))> |
#<alt (* (log t) (- (pow a 3) 1/8))> |
#<alt (* (log t) (- (pow a 3) 1/8))> |
#<alt (* -1 (* (log (/ 1 t)) (- (pow a 3) 1/8)))> |
#<alt (* -1 (* (log (/ 1 t)) (- (pow a 3) 1/8)))> |
#<alt (* -1 (* (log (/ 1 t)) (- (pow a 3) 1/8)))> |
#<alt (* -1 (* (log (/ 1 t)) (- (pow a 3) 1/8)))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 3) 1/8))> |
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#<alt (* -1 (* t (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) (+ (/ (log z) a) (/ (log (+ x y)) a))) t)) (/ 1 a))))> |
#<alt (* -1 (* t (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) (+ (/ (log z) a) (/ (log (+ x y)) a))) t)) (/ 1 a))))> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) a)> |
#<alt (/ (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) a)> |
#<alt (/ (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) a)> |
#<alt (/ (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)> |
#<alt (* -1/2 (log t))> |
#<alt (+ (* -1/2 (log t)) (* a (log t)))> |
#<alt (+ (* -1/2 (log t)) (* a (log t)))> |
#<alt (+ (* -1/2 (log t)) (* a (log t)))> |
#<alt (* a (log t))> |
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))> |
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))> |
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))> |
#<alt (* a (log t))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))> |
#<alt (* (log t) (- a 1/2))> |
#<alt (* (log t) (- a 1/2))> |
#<alt (* (log t) (- a 1/2))> |
#<alt (* (log t) (- a 1/2))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
#<alt (log (* y z))> |
#<alt (+ (log (* y z)) (/ x y))> |
#<alt (+ (log (* y z)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))> |
#<alt (+ (log (* y z)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))> |
#<alt (+ (log z) (* -1 (log (/ 1 x))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x)))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))> |
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x)))> |
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))> |
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))> |
#<alt (log (* x z))> |
#<alt (+ (log (* x z)) (/ y x))> |
#<alt (+ (log (* x z)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))> |
#<alt (+ (log (* x z)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))> |
#<alt (+ (log z) (* -1 (log (/ 1 y))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y)))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))> |
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 y))))> |
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (/ x y)))> |
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))> |
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))> |
#<alt 4> |
#<alt (+ 4 (* -8 a))> |
#<alt (+ 4 (* a (- (* 32 (pow a 2)) 8)))> |
#<alt (+ 4 (* a (- (* (pow a 2) (+ 32 (* -64 a))) 8)))> |
#<alt (/ 1 (pow a 2))> |
#<alt (/ (- 1 (* 1/2 (/ 1 a))) (pow a 2))> |
#<alt (/ (- (+ 1 (/ 1/8 (pow a 3))) (* 1/2 (/ 1 a))) (pow a 2))> |
#<alt (/ (- (+ 1 (/ 1/8 (pow a 3))) (+ (* 1/2 (/ 1 a)) (* 1/16 (/ 1 (pow a 4))))) (pow a 2))> |
#<alt (/ 1 (pow a 2))> |
#<alt (/ (- 1 (* 1/2 (/ 1 a))) (pow a 2))> |
#<alt (/ (+ 1 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow a 2)))) a))) (pow a 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) a))) (pow a 2))> |
#<alt (* -1/4 (log t))> |
#<alt (+ (* -1/4 (log t)) (* (pow a 2) (log t)))> |
#<alt (+ (* -1/4 (log t)) (* (pow a 2) (log t)))> |
#<alt (+ (* -1/4 (log t)) (* (pow a 2) (log t)))> |
#<alt (* (pow a 2) (log t))> |
#<alt (* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (pow a 2) (log t))> |
#<alt (* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (log t) (- (pow a 2) 1/4))> |
#<alt (* (log t) (- (pow a 2) 1/4))> |
#<alt (* (log t) (- (pow a 2) 1/4))> |
#<alt (* (log t) (- (pow a 2) 1/4))> |
#<alt (* -1 (* (log (/ 1 t)) (- (pow a 2) 1/4)))> |
#<alt (* -1 (* (log (/ 1 t)) (- (pow a 2) 1/4)))> |
#<alt (* -1 (* (log (/ 1 t)) (- (pow a 2) 1/4)))> |
#<alt (* -1 (* (log (/ 1 t)) (- (pow a 2) 1/4)))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4))> |
#<alt (+ (log z) (* -1/2 (log t)))> |
#<alt (+ (log z) (* -1/2 (log t)))> |
#<alt (+ (log z) (* -1/2 (log t)))> |
#<alt (+ (log z) (* -1/2 (log t)))> |
#<alt (+ (log z) (* 1/2 (log (/ 1 t))))> |
#<alt (+ (log z) (* 1/2 (log (/ 1 t))))> |
#<alt (+ (log z) (* 1/2 (log (/ 1 t))))> |
#<alt (+ (log z) (* 1/2 (log (/ 1 t))))> |
#<alt (+ (log z) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t))))))> |
#<alt (+ (log z) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t))))))> |
#<alt (+ (log z) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t))))))> |
#<alt (+ (log z) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t))))))> |
#<alt (+ (log z) (* -1/2 (log t)))> |
#<alt (+ (log z) (* -1/2 (log t)))> |
#<alt (+ (log z) (* -1/2 (log t)))> |
#<alt (+ (log z) (* -1/2 (log t)))> |
#<alt (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))> |
#<alt (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))> |
#<alt (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))> |
#<alt (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))> |
#<alt (- (+ (log x) (+ (log z) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log x) (+ (log z) (+ (* -1/2 (log t)) (/ y x)))) t)> |
#<alt (- (+ (log x) (+ (log z) (+ (* -1/2 (log t)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))))) t)> |
#<alt (- (+ (log x) (+ (log z) (+ (* -1/2 (log t)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (log t)) (/ x y)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1/2 (log t))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1/2 (log t)) (/ x y))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* -1/2 (log t)))))) t)> |
#<alt (- (+ (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)) (* -1/2 (log t)))))) t)> |
#<alt (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (/ x y)))) t)> |
#<alt (- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))))) t)> |
#<alt (- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (/ y x)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1/2 (log t))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1/2 (log t)) (/ y x))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* -1/2 (log t)))))) t)> |
#<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)) (* -1/2 (log t)))))) t)> |
#<alt (+ (log z) (+ (log (+ x y)) (* -1/2 (log t))))> |
#<alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* -1/2 (log t)))))> |
#<alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* -1/2 (log t)))))> |
#<alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* -1/2 (log t)))))> |
#<alt (* -1 t)> |
#<alt (* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))> |
#<alt (* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))> |
#<alt (* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t))))))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t))))))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t))))))) t)))))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t)> |
192 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | a | @ | inf | (/ (+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) a) |
| 32.0ms | a | @ | 0 | (/ (+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) a) |
| 28.0ms | t | @ | 0 | (+ (* (log t) -1/2) (log z)) |
| 25.0ms | y | @ | 0 | (+ (- (+ (log y) (log z)) t) (* (- a 1/2) (log t))) |
| 18.0ms | z | @ | -inf | (+ (* (* (+ (* a (* a a)) -1/8) (log t)) (/ 1 (+ (* a a) (+ (* a 1/2) 1/4)))) (- (log (* (+ x y) z)) t)) |
| 1× | batch-egg-rewrite |
| 3 872× | /-lowering-/.f32 |
| 3 872× | /-lowering-/.f64 |
| 3 702× | accelerator-lowering-fma.f32 |
| 3 702× | accelerator-lowering-fma.f64 |
| 3 380× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 245 |
| 1 | 374 | 201 |
| 2 | 3740 | 201 |
| 0 | 8916 | 189 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (- (+ (log y) (log z)) t) (* (- a 1/2) (log t))) |
(- (+ (log y) (log z)) t) |
(+ (log y) (log z)) |
(log y) |
(- 0 t) |
(+ (* (* (+ (* a (* a a)) -1/8) (log t)) (/ 1 (+ (* a a) (+ (* a 1/2) 1/4)))) (- (log (* (+ x y) z)) t)) |
(+ (* a a) (+ (* a 1/2) 1/4)) |
(* (+ (* a (* a a)) -1/8) (log t)) |
(+ (* a (* a a)) -1/8) |
(* (* (+ (* a a) -1/4) (log t)) (/ 1 (+ a 1/2))) |
(+ (- (+ (log (+ x y)) (log z)) t) (* (* (+ (* a a) -1/4) (log t)) (/ 1 (+ a 1/2)))) |
(- (+ (log (+ x y)) (log z)) t) |
(+ (log (+ x y)) (log z)) |
(* a (+ (log t) (/ (+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) a))) |
(+ (log t) (/ (+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) a)) |
(log t) |
(/ (+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) a) |
(* (- a 1/2) (log t)) |
(log (* (+ x y) z)) |
(/ 1 (+ (* a a) (+ (* a 1/2) 1/4))) |
(* (+ (* a a) -1/4) (log t)) |
(+ (* (log t) -1/2) (log z)) |
(+ (log (+ y x)) (- (+ (* (log t) -1/2) (log z)) t)) |
| Outputs |
|---|
(+.f64 (log.f64 y) (+.f64 (-.f64 (log.f64 z) t) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(+.f64 (log.f64 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 y) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))) |
(+.f64 (log.f64 (*.f64 y z)) (neg.f64 (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))) |
(+.f64 (log.f64 (*.f64 y z)) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(+.f64 (-.f64 (log.f64 (*.f64 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 y z)) t)) |
(+.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 y)) (-.f64 (log.f64 z) t)) |
(+.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (log.f64 (*.f64 y z))) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (log.f64 (*.f64 y z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 y z)) t) #s(literal 2 binary64)) (-.f64 (log.f64 (*.f64 y z)) (+.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))) (/.f64 (pow.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) #s(literal 2 binary64)) (-.f64 (log.f64 (*.f64 y z)) (+.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))))) |
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(/.f64 (-.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (-.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) (log.f64 (+.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (*.f64 z (+.f64 y x))) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 t t #s(literal 0 binary64))) (+.f64 (+.f64 (log.f64 (*.f64 z (+.f64 y x))) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) t)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) (-.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) (log.f64 (+.f64 y x))) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (*.f64 z (+.f64 y x))) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (*.f64 t (fma.f64 t t #s(literal 0 binary64))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 (*.f64 z (+.f64 y x))) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 t t (*.f64 (+.f64 (log.f64 (*.f64 z (+.f64 y x))) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) t))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) (log.f64 (+.f64 y x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (*.f64 z (+.f64 y x))) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 t t #s(literal 0 binary64)))) (neg.f64 (+.f64 (+.f64 (log.f64 (*.f64 z (+.f64 y x))) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) t))) |
(pow.f64 (/.f64 (fma.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) (-.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) (log.f64 (+.f64 y x))) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) (-.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) (log.f64 (+.f64 y x))) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)))) |
| 1× | egg-herbie |
| 8 664× | accelerator-lowering-fma.f32 |
| 8 664× | accelerator-lowering-fma.f64 |
| 6 738× | +-lowering-+.f64 |
| 6 738× | +-lowering-+.f32 |
| 3 982× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1172 | 14329 |
| 1 | 3592 | 13743 |
| 0 | 8229 | 13109 |
| 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)))) 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)))) |
(+ (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)) t) |
(- (+ (log y) (log z)) t) |
(- (+ (log y) (log z)) t) |
(- (+ (log y) (log z)) t) |
(- (+ (log z) (* -1 (log (/ 1 y)))) t) |
(- (+ (log z) (* -1 (log (/ 1 y)))) t) |
(- (+ (log z) (* -1 (log (/ 1 y)))) t) |
(- (+ (log z) (* -1 (log (/ 1 y)))) t) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t) |
(- (+ (log y) (log z)) t) |
(- (+ (log y) (log z)) t) |
(- (+ (log y) (log z)) t) |
(- (+ (log y) (log z)) t) |
(- (+ (log y) (* -1 (log (/ 1 z)))) t) |
(- (+ (log y) (* -1 (log (/ 1 z)))) t) |
(- (+ (log y) (* -1 (log (/ 1 z)))) t) |
(- (+ (log y) (* -1 (log (/ 1 z)))) t) |
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t) |
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t) |
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t) |
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) t) |
(+ (log y) (log z)) |
(+ (log y) (+ (log z) (* -1 t))) |
(+ (log y) (+ (log z) (* -1 t))) |
(+ (log y) (+ (log z) (* -1 t))) |
(* -1 t) |
(* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) |
(* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) |
(* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (log z)) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (log z)) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (log z)) t))))) |
(+ (log y) (log z)) |
(+ (log y) (log z)) |
(+ (log y) (log z)) |
(+ (log y) (log z)) |
(+ (log z) (* -1 (log (/ 1 y)))) |
(+ (log z) (* -1 (log (/ 1 y)))) |
(+ (log z) (* -1 (log (/ 1 y)))) |
(+ (log z) (* -1 (log (/ 1 y)))) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) |
(+ (log y) (log z)) |
(+ (log y) (log z)) |
(+ (log y) (log z)) |
(+ (log y) (log z)) |
(+ (log y) (* -1 (log (/ 1 z)))) |
(+ (log y) (* -1 (log (/ 1 z)))) |
(+ (log y) (* -1 (log (/ 1 z)))) |
(+ (log y) (* -1 (log (/ 1 z)))) |
(+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) |
(+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) |
(+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) |
(+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) |
(log y) |
(log y) |
(log y) |
(log y) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(* -1 (log (/ 1 y))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (- (* -1 (* a (+ (* -2 (log t)) (* 2 (log t))))) (* -1 (log t)))))) t) |
(- (+ (log (* z (+ x y))) (+ (* -1/2 (log t)) (* a (- (* a (- (* 2 (* a (+ (* -2 (log t)) (* 2 (log t))))) (+ (* -2 (log t)) (* 2 (log t))))) (* -1 (log t)))))) t) |
(* a (log t)) |
(* a (- (+ (log t) (/ (log (* z (+ x y))) a)) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* -1 (/ (+ (* -1/4 (log t)) (* 1/4 (log t))) (pow a 2))) (/ (log (* z (+ x y))) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* 1/2 (/ (+ (* -1/4 (log t)) (* 1/4 (log t))) (pow a 3))) (/ (log (* z (+ x y))) a))) (+ (* -1/4 (/ (log t) (pow a 2))) (+ (* 1/4 (/ (log t) (pow a 2))) (+ (* 1/2 (/ (log t) a)) (/ t a)))))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (+ (* -1 (/ (+ (* -1/4 (log t)) (* 1/4 (log t))) a)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (log t)) (* 1/4 (log t))) a)) (+ (* -1/4 (log t)) (* 1/4 (log t)))) a)) (* -1/2 (log t)))) t) a))))) |
(+ (log (* z (+ x y))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))) |
(+ (log (* z (+ x y))) (+ (* -1 t) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) |
(+ (log (* z (+ x y))) (+ (* -1 t) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) |
(+ (log (* z (+ x y))) (+ (* -1 t) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) |
(* -1 t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 3) 1/8)) (* t (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) (/ (log (* z (+ x y))) t)) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 3) 1/8)) (* t (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) (/ (log (* z (+ x y))) t)) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 3) 1/8)) (* t (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) (/ (log (* z (+ x y))) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))) t))))) |
(- (+ (log (* y z)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))) t) |
(- (+ (log (* y z)) (+ (/ x y) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log (* y z)) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log (* y z)) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (/ y x) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (/ y x) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (/ y x) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t) |
(- (+ (log (* x z)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))) t) |
(- (+ (log (* x z)) (+ (/ y x) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log (* x z)) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log (* x z)) (+ (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (/ x y) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))))) 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) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (+ (/ x y) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2))))))) t) |
(- (+ (log z) (+ (log (+ x y)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log z) (+ (log (+ x y)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log z) (+ (log (+ x y)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log z) (+ (log (+ x y)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
(- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (+ (* 1/2 a) (pow a 2)))))) t) |
1/4 |
(+ 1/4 (* 1/2 a)) |
(+ 1/4 (* a (+ 1/2 a))) |
(+ 1/4 (* a (+ 1/2 a))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 a))))) |
(* (pow a 2) (+ 1 (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 a))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 1/2 (/ 1 a)))) |
(* (pow a 2) (+ 1 (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 a))))) |
(* (pow a 2) (+ 1 (+ (/ 1/4 (pow a 2)) (* 1/2 (/ 1 a))))) |
(* -1/8 (log t)) |
(+ (* -1/8 (log t)) (* (pow a 3) (log t))) |
(+ (* -1/8 (log t)) (* (pow a 3) (log t))) |
(+ (* -1/8 (log t)) (* (pow a 3) (log t))) |
(* (pow a 3) (log t)) |
(* (pow a 3) (+ (log t) (* -1/8 (/ (log t) (pow a 3))))) |
(* (pow a 3) (+ (log t) (* -1/8 (/ (log t) (pow a 3))))) |
(* (pow a 3) (+ (log t) (* -1/8 (/ (log t) (pow a 3))))) |
(* (pow a 3) (log t)) |
(* -1 (* (pow a 3) (+ (* -1 (log t)) (* 1/8 (/ (log t) (pow a 3)))))) |
(* -1 (* (pow a 3) (+ (* -1 (log t)) (* 1/8 (/ (log t) (pow a 3)))))) |
(* -1 (* (pow a 3) (+ (* -1 (log t)) (* 1/8 (/ (log t) (pow a 3)))))) |
(* (log t) (- (pow a 3) 1/8)) |
(* (log t) (- (pow a 3) 1/8)) |
(* (log t) (- (pow a 3) 1/8)) |
(* (log t) (- (pow a 3) 1/8)) |
(* -1 (* (log (/ 1 t)) (- (pow a 3) 1/8))) |
(* -1 (* (log (/ 1 t)) (- (pow a 3) 1/8))) |
(* -1 (* (log (/ 1 t)) (- (pow a 3) 1/8))) |
(* -1 (* (log (/ 1 t)) (- (pow a 3) 1/8))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 3) 1/8)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 3) 1/8)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 3) 1/8)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 3) 1/8)) |
-1/8 |
(- (pow a 3) 1/8) |
(- (pow a 3) 1/8) |
(- (pow a 3) 1/8) |
(pow a 3) |
(* (pow a 3) (- 1 (* 1/8 (/ 1 (pow a 3))))) |
(* (pow a 3) (- 1 (* 1/8 (/ 1 (pow a 3))))) |
(* (pow a 3) (- 1 (* 1/8 (/ 1 (pow a 3))))) |
(pow a 3) |
(* -1 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 3))) 1))) |
(* -1 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 3))) 1))) |
(* -1 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 3))) 1))) |
(* -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) (- (pow a 2) 1/4)) (+ 1/2 a)) |
(/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) |
(/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) |
(/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) |
(* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (+ 1/2 a))) |
(* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (+ 1/2 a))) |
(* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (+ 1/2 a))) |
(* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (+ 1/2 a))) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a)) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a)) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a)) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a)) |
(- (+ (log y) (+ (log z) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log y) (+ (log z) (+ (/ x y) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (/ y x) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (/ y x) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (/ y x) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))))) t) |
(- (+ (log -1) (+ (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) (- (pow a 2) 1/4)) (+ 1/2 a)))))) t) |
(- (+ (log x) (+ (log z) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log x) (+ (log z) (+ (/ y x) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log x) (+ (log z) (+ (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (/ x y) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))))) 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) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (/ x y) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))))) 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) (- (pow a 2) 1/4)) (+ 1/2 a)))))) t) |
(- (+ (log z) (+ (log (+ x y)) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log z) (+ (log (+ x y)) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log z) (+ (log (+ x y)) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log z) (+ (log (+ x y)) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) t) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) t) |
(+ (log z) (+ (log (+ x y)) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a))))) |
(* -1 t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))) (+ (/ (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)))) (- (pow a 2) 1/4)) (+ 1/2 a)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a)))) 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) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log 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 z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
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(+ (* -1 (/ t a)) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) |
(+ (* -1 (/ t a)) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) |
(+ (* -1 (/ t a)) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) |
(* -1 (/ t a)) |
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) (* a t))) (+ (/ (log z) (* a t)) (/ (log (+ x y)) (* a t)))) (/ 1 a))) |
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) (* a t))) (+ (/ (log z) (* a t)) (/ (log (+ x y)) (* a t)))) (/ 1 a))) |
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) (* a t))) (+ (/ (log z) (* a t)) (/ (log (+ x y)) (* a t)))) (/ 1 a))) |
(* -1 (/ t a)) |
(* -1 (* t (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) (+ (/ (log z) a) (/ (log (+ x y)) a))) t)) (/ 1 a)))) |
(* -1 (* t (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) (+ (/ (log z) a) (/ (log (+ x y)) a))) t)) (/ 1 a)))) |
(* -1 (* t (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) (+ (/ (log z) a) (/ (log (+ x y)) a))) t)) (/ 1 a)))) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) a) |
(/ (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) a) |
(/ (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) a) |
(/ (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) 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 (* 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)))) |
(+ (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)))) |
4 |
(+ 4 (* -8 a)) |
(+ 4 (* a (- (* 32 (pow a 2)) 8))) |
(+ 4 (* a (- (* (pow a 2) (+ 32 (* -64 a))) 8))) |
(/ 1 (pow a 2)) |
(/ (- 1 (* 1/2 (/ 1 a))) (pow a 2)) |
(/ (- (+ 1 (/ 1/8 (pow a 3))) (* 1/2 (/ 1 a))) (pow a 2)) |
(/ (- (+ 1 (/ 1/8 (pow a 3))) (+ (* 1/2 (/ 1 a)) (* 1/16 (/ 1 (pow a 4))))) (pow a 2)) |
(/ 1 (pow a 2)) |
(/ (- 1 (* 1/2 (/ 1 a))) (pow a 2)) |
(/ (+ 1 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow a 2)))) a))) (pow a 2)) |
(/ (+ 1 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow a 3))) (* 1/8 (/ 1 (pow a 2)))) a))) (pow a 2)) |
(* -1/4 (log t)) |
(+ (* -1/4 (log t)) (* (pow a 2) (log t))) |
(+ (* -1/4 (log t)) (* (pow a 2) (log t))) |
(+ (* -1/4 (log t)) (* (pow a 2) (log t))) |
(* (pow a 2) (log t)) |
(* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (log t)) |
(* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (log t) (* -1/4 (/ (log t) (pow a 2))))) |
(* (log t) (- (pow a 2) 1/4)) |
(* (log t) (- (pow a 2) 1/4)) |
(* (log t) (- (pow a 2) 1/4)) |
(* (log t) (- (pow a 2) 1/4)) |
(* -1 (* (log (/ 1 t)) (- (pow a 2) 1/4))) |
(* -1 (* (log (/ 1 t)) (- (pow a 2) 1/4))) |
(* -1 (* (log (/ 1 t)) (- (pow a 2) 1/4))) |
(* -1 (* (log (/ 1 t)) (- (pow a 2) 1/4))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) |
(+ (log z) (* -1/2 (log t))) |
(+ (log z) (* -1/2 (log t))) |
(+ (log z) (* -1/2 (log t))) |
(+ (log z) (* -1/2 (log t))) |
(+ (log z) (* 1/2 (log (/ 1 t)))) |
(+ (log z) (* 1/2 (log (/ 1 t)))) |
(+ (log z) (* 1/2 (log (/ 1 t)))) |
(+ (log z) (* 1/2 (log (/ 1 t)))) |
(+ (log z) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) |
(+ (log z) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) |
(+ (log z) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) |
(+ (log z) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) |
(+ (log z) (* -1/2 (log t))) |
(+ (log z) (* -1/2 (log t))) |
(+ (log z) (* -1/2 (log t))) |
(+ (log z) (* -1/2 (log t))) |
(+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) |
(+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) |
(+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) |
(+ (* -1 (log (/ 1 z))) (* -1/2 (log t))) |
(+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) |
(+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) |
(+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) |
(+ (log -1) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) |
(- (+ (log x) (+ (log z) (* -1/2 (log t)))) t) |
(- (+ (log x) (+ (log z) (+ (* -1/2 (log t)) (/ y x)))) t) |
(- (+ (log x) (+ (log z) (+ (* -1/2 (log t)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))))) t) |
(- (+ (log x) (+ (log z) (+ (* -1/2 (log t)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (log t)) (/ x y)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (log t)) (+ (* -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))) (* -1/2 (log t))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1/2 (log t)) (/ x y))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* -1/2 (log t)))))) 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)) (* -1/2 (log t)))))) t) |
(- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) |
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (/ x y)))) t) |
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))))) t) |
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1/2 (log t))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1/2 (log t)) (/ y x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* -1/2 (log t)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* -1/2 (log t)))))) t) |
(+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* -1/2 (log t))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* -1/2 (log t))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* -1/2 (log t))))) |
(* -1 t) |
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t))))))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t))))))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t))))))) t))))) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) |
| 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)))) 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)))) 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)))) t) |
(+.f64 (log.f64 y) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) t)) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (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 z) (+ (* -1 (log (/ 1 y))) (* (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 z) (+ (* -1 (log (/ 1 y))) (* (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 z) (+ (* -1 (log (/ 1 y))) (* (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 -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t) |
(+.f64 (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (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))))) t) |
(+.f64 (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (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))))) t) |
(+.f64 (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (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))))) t) |
(+.f64 (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (-.f64 (log.f64 #s(literal -1 binary64)) t)) |
(- (+ (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)))) 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)))) 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)))) t) |
(+.f64 (log.f64 y) (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z)) t)) |
(- (+ (log y) (+ (* -1 (log (/ 1 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) (+ (* -1 (log (/ 1 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) (+ (* -1 (log (/ 1 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) (+ (* -1 (log (/ 1 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 -1) (+ (log y) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y)) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) z)))) t) |
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1/4 |
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(pow a 3) |
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(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))))) |
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))))) |
(* -1 t) |
(-.f64 #s(literal 0 binary64) t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t))))))) t))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 z) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) #s(literal -1/2 binary64) (log.f64 (+.f64 y x)))) t)) (-.f64 #s(literal 0 binary64) t)) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t))))))) t))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 z) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) #s(literal -1/2 binary64) (log.f64 (+.f64 y x)))) t)) (-.f64 #s(literal 0 binary64) t)) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t))))))) t))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 z) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) #s(literal -1/2 binary64) (log.f64 (+.f64 y x)))) t)) (-.f64 #s(literal 0 binary64) t)) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) |
(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) |
(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) |
(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) |
(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) |
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 y x))) (-.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t)) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) |
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 y x))) (-.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t)) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) |
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 y x))) (-.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t)) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t))))) t) |
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 y x))) (-.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t)) |
Compiled 50 429 to 3 502 computations (93.1% saved)
36 alts after pruning (36 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 618 | 31 | 1 649 |
| Fresh | 14 | 5 | 19 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 637 | 36 | 1 673 |
| Status | Accuracy | Program |
|---|---|---|
| 64.1% | (fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 y z)) t)) | |
| 59.7% | (fma.f64 (/.f64 (*.f64 (log.f64 t) (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 (log.f64 (*.f64 y z)) t)) | |
| 77.2% | (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) | |
| 29.2% | (fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| 64.0% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (fma.f64 a a #s(literal -1/4 binary64))) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) | |
| 28.9% | (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z (+.f64 y x)))) | |
| 63.6% | (/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (+.f64 a #s(literal 1/2 binary64)))) | |
| 21.4% | (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) t) | |
| 13.5% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (fma.f64 t t #s(literal 0 binary64))) | |
| 35.9% | (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) #s(literal 2 binary64))) a) (-.f64 (log.f64 t) (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a))) | |
| 13.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))))) | |
| 21.3% | (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))))) | |
| ▶ | 17.3% | (-.f64 (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) t) |
| 77.2% | (-.f64 (log.f64 (*.f64 y z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) | |
| 31.2% | (+.f64 (-.f64 (-.f64 (log.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z)) (log.f64 (-.f64 y x))) t) (*.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 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))))) |
| 71.9% | (+.f64 (-.f64 (+.f64 (log.f64 y) (log.f64 z)) t) (/.f64 (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) | |
| 79.9% | (+.f64 (-.f64 (+.f64 (log.f64 y) (log.f64 z)) t) (/.f64 (*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64))) (+.f64 a #s(literal 1/2 binary64)))) | |
| 76.5% | (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 56.8% | (+.f64 (-.f64 #s(literal 0 binary64) t) (*.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))))) | |
| ▶ | 99.5% | (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 (/.f64 (log.f64 y) t) #s(literal 1 binary64)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 68.9% | (+.f64 (log.f64 y) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) | |
| 21.3% | (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) t)) | |
| 13.4% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64)))) | |
| ▶ | 32.6% | (*.f64 (log.f64 t) a) |
| 56.8% | (*.f64 t (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (*.f64 t (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal -1 binary64)))) | |
| 89.9% | (*.f64 t (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (+.f64 (/.f64 (log.f64 z) t) (-.f64 (/.f64 (log.f64 y) t) #s(literal 1 binary64))))) | |
| 89.8% | (*.f64 t (+.f64 #s(literal -1 binary64) (+.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))))) | |
| 63.1% | (*.f64 a (fma.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (/.f64 #s(literal 1 binary64) a) (log.f64 t))) | |
| 30.8% | (*.f64 a (/.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) (-.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) (log.f64 t)) (pow.f64 (log.f64 t) #s(literal 2 binary64))))) | |
| 26.3% | (*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 t a))) | |
| 63.1% | (*.f64 a (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) a) (-.f64 (log.f64 t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) a) (/.f64 t a))))) | |
| 56.8% | (*.f64 a (+.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) | |
| 63.1% | (*.f64 a (+.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))))) | |
| 37.0% | (*.f64 a (*.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 t) (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a))))) | |
| ▶ | 43.2% | (neg.f64 t) |
Compiled 1 826 to 1 138 computations (37.7% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (log.f64 z) t) |
| ✓ | cost-diff | 192 | (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 (/.f64 (log.f64 y) t) #s(literal 1 binary64)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| ✓ | cost-diff | 512 | (+.f64 (/.f64 (log.f64 z) t) (-.f64 (/.f64 (log.f64 y) t) #s(literal 1 binary64))) |
| ✓ | cost-diff | 1216 | (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 (/.f64 (log.f64 y) t) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
| ✓ | cost-diff | 0 | (log.f64 t) |
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) t) |
| ✓ | cost-diff | -64 | (*.f64 (log.f64 t) a) |
| ✓ | cost-diff | 0 | (log.f64 t) |
| ✓ | cost-diff | -64 | (neg.f64 t) |
| ✓ | cost-diff | 0 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
| ✓ | cost-diff | 192 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))) |
| ✓ | cost-diff | 1024 | (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))) |
| 12 592× | accelerator-lowering-fma.f32 |
| 12 592× | accelerator-lowering-fma.f64 |
| 2 548× | *-lowering-*.f32 |
| 2 548× | *-lowering-*.f64 |
| 2 020× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 251 |
| 1 | 96 | 245 |
| 2 | 200 | 245 |
| 3 | 474 | 241 |
| 4 | 1070 | 233 |
| 5 | 2628 | 233 |
| 6 | 4453 | 233 |
| 7 | 6490 | 233 |
| 8 | 7941 | 233 |
| 0 | 8019 | 224 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (+ a -1/2)))) |
(- (+ (log (+ x y)) (log z)) t) |
(+ (log (+ x y)) (log z)) |
(log (+ x y)) |
(+ x y) |
x |
y |
(log z) |
z |
t |
(/ (log t) (/ 1 (+ a -1/2))) |
(log t) |
(/ 1 (+ a -1/2)) |
1 |
(+ a -1/2) |
a |
-1/2 |
(neg t) |
t |
(* (log t) a) |
(log t) |
t |
a |
(- (+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x))) t) |
(+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x))) |
(log t) |
t |
(/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4)) |
(+ (* a (* a a)) -1/8) |
a |
(* a a) |
-1/8 |
(+ (* a (+ a 1/2)) 1/4) |
(+ a 1/2) |
1/2 |
1/4 |
(log (* z x)) |
(* z x) |
z |
x |
(+ (* t (+ (/ (log z) t) (- (/ (log y) t) 1))) (* (- a 1/2) (log t))) |
(* t (+ (/ (log z) t) (- (/ (log y) t) 1))) |
t |
(+ (/ (log z) t) (- (/ (log y) t) 1)) |
(/ (log z) t) |
(log z) |
z |
(- (/ (log y) t) 1) |
(/ (log y) t) |
(log y) |
y |
1 |
(* (- a 1/2) (log t)) |
(- a 1/2) |
a |
1/2 |
(log t) |
| Outputs |
|---|
(+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (+ a -1/2)))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (fma.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a) t))) |
(- (+ (log (+ x y)) (log z)) t) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(+ (log (+ x y)) (log z)) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(log (+ x y)) |
(log.f64 (+.f64 x y)) |
(+ x y) |
(+.f64 x y) |
x |
y |
(log z) |
(log.f64 z) |
z |
t |
(/ (log t) (/ 1 (+ a -1/2))) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(log t) |
(log.f64 t) |
(/ 1 (+ a -1/2)) |
(/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ a -1/2) |
(+.f64 a #s(literal -1/2 binary64)) |
a |
-1/2 |
#s(literal -1/2 binary64) |
(neg t) |
(-.f64 #s(literal 0 binary64) t) |
t |
(* (log t) a) |
(fma.f64 (log.f64 t) a #s(literal 0 binary64)) |
(log t) |
(log.f64 t) |
t |
a |
(- (+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x))) t) |
(-.f64 (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 x z))) t) |
(+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x))) |
(fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 x z))) |
(log t) |
(log.f64 t) |
t |
(/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4)) |
(/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(+ (* a (* a a)) -1/8) |
(fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) |
a |
(* a a) |
(*.f64 a a) |
-1/8 |
#s(literal -1/8 binary64) |
(+ (* a (+ a 1/2)) 1/4) |
(fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) |
(+ a 1/2) |
(+.f64 a #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
1/4 |
#s(literal 1/4 binary64) |
(log (* z x)) |
(log.f64 (*.f64 x z)) |
(* z x) |
(*.f64 x z) |
z |
x |
(+ (* t (+ (/ (log z) t) (- (/ (log y) t) 1))) (* (- a 1/2) (log t))) |
(+.f64 (-.f64 (log.f64 y) t) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 z))) |
(* t (+ (/ (log z) t) (- (/ (log y) t) 1))) |
(+.f64 (log.f64 z) (-.f64 (log.f64 y) t)) |
t |
(+ (/ (log z) t) (- (/ (log y) t) 1)) |
(fma.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 (log.f64 z) (log.f64 y)) #s(literal -1 binary64)) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(log z) |
(log.f64 z) |
z |
(- (/ (log y) t) 1) |
(+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(log y) |
(log.f64 y) |
y |
1 |
#s(literal 1 binary64) |
(* (- a 1/2) (log t)) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(- a 1/2) |
(+.f64 a #s(literal -1/2 binary64)) |
a |
1/2 |
#s(literal 1/2 binary64) |
(log t) |
(log.f64 t) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 (/.f64 (log.f64 y) t) #s(literal 1 binary64)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| ✓ | accuracy | 99.8% | (/.f64 (log.f64 z) t) |
| ✓ | accuracy | 99.8% | (/.f64 (log.f64 y) t) |
| ✓ | accuracy | 99.7% | (+.f64 (/.f64 (log.f64 z) t) (-.f64 (/.f64 (log.f64 y) t) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) |
| ✓ | accuracy | 86.7% | (log.f64 (*.f64 z x)) |
| ✓ | accuracy | 85.3% | (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
| ✓ | accuracy | 100.0% | (log.f64 t) |
| ✓ | accuracy | 99.8% | (*.f64 (log.f64 t) a) |
| ✓ | accuracy | 100.0% | (neg.f64 t) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
| ✓ | accuracy | 99.9% | (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 99.9% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))) |
| ✓ | accuracy | 99.5% | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 151.0ms | 136× | 0 | valid |
| 58.0ms | 120× | 0 | invalid |
Compiled 249 to 45 computations (81.9% saved)
ival-mult: 83.0ms (47.5% of total)ival-log: 65.0ms (37.2% of total)ival-add: 11.0ms (6.3% of total)ival-div: 8.0ms (4.6% of total)ival-sub: 5.0ms (2.9% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (log t) (/ 1 (+ a -1/2)))> |
#<alt (+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (+ a -1/2))))> |
#<alt (- (+ (log (+ x y)) (log z)) t)> |
#<alt (+ (log (+ x y)) (log z))> |
#<alt (neg t)> |
#<alt (log t)> |
#<alt (* (log t) a)> |
#<alt (- (+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x))) t)> |
#<alt (+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x)))> |
#<alt (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))> |
#<alt (* t (+ (/ (log z) t) (- (/ (log y) t) 1)))> |
#<alt (+ (/ (log z) t) (- (/ (log y) t) 1))> |
#<alt (+ (* t (+ (/ (log z) t) (- (/ (log y) t) 1))) (* (- a 1/2) (log t)))> |
#<alt (/ (log z) t)> |
#<alt (log (* z x))> |
#<alt (+ (* a (* a a)) -1/8)> |
#<alt (/ (log y) t)> |
| Outputs |
|---|
#<alt (* (log t) (- a 1/2))> |
#<alt (* (log t) (- a 1/2))> |
#<alt (* (log t) (- a 1/2))> |
#<alt (* (log t) (- a 1/2))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
#<alt (* -1/2 (log t))> |
#<alt (+ (* -1/2 (log t)) (* a (log t)))> |
#<alt (+ (* -1/2 (log t)) (* a (log t)))> |
#<alt (+ (* -1/2 (log t)) (* a (log t)))> |
#<alt (* a (log t))> |
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))> |
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))> |
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))> |
#<alt (* a (log t))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))> |
#<alt (- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t)> |
#<alt (- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t)> |
#<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)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)> |
#<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)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t)> |
#<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)> |
#<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)> |
#<alt (- (+ (log x) (+ (log z) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log x) (+ (log z) (+ (* (log t) (- a 1/2)) (/ y x)))) t)> |
#<alt (- (+ (log x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))) t)> |
#<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)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* (log t) (- a 1/2)) (/ x y)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* (log t) (- a 1/2)) (/ x y))))) t)> |
#<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)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* (log t) (- a 1/2)) (/ x y))))) t)> |
#<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)> |
#<alt (- (+ (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)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t)> |
#<alt (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2))))> |
#<alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))> |
#<alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))> |
#<alt (+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2)))))> |
#<alt (* -1 t)> |
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))> |
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))> |
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t)))))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t)> |
#<alt (* a (log t))> |
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))> |
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))> |
#<alt (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a)))> |
#<alt (* a (log t))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a)))))> |
#<alt (- (+ (log y) (log z)) t)> |
#<alt (- (+ (log y) (+ (log z) (/ x y))) t)> |
#<alt (- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t)> |
#<alt (- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) t)> |
#<alt (- (+ (log z) (* -1 (log (/ 1 x)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) t)> |
#<alt (- (+ (log x) (log z)) t)> |
#<alt (- (+ (log x) (+ (log z) (/ y x))) t)> |
#<alt (- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) t)> |
#<alt (- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) t)> |
#<alt (- (+ (log z) (* -1 (log (/ 1 y)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) t)> |
#<alt (- (+ (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)> |
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) t)> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) t)> |
#<alt (- (+ (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)> |
#<alt (- (+ (log z) (log (+ x y))) t)> |
#<alt (- (+ (log z) (log (+ x y))) t)> |
#<alt (- (+ (log z) (log (+ x y))) t)> |
#<alt (- (+ (log z) (log (+ x y))) t)> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t)> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (+ (log (+ x y)) (* -1 t)))> |
#<alt (+ (log z) (+ (log (+ x y)) (* -1 t)))> |
#<alt (+ (log z) (+ (log (+ x y)) (* -1 t)))> |
#<alt (* -1 t)> |
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))> |
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))> |
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t)))))> |
#<alt (+ (log y) (log z))> |
#<alt (+ (log y) (+ (log z) (/ x y)))> |
#<alt (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))))> |
#<alt (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))> |
#<alt (+ (log z) (* -1 (log (/ 1 x))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x)))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))> |
#<alt (+ (log -1) (+ (log z) (* -1 (log (/ -1 x)))))> |
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x))))> |
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))))> |
#<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)))))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (+ (log z) (/ y x)))> |
#<alt (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))))> |
#<alt (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))))> |
#<alt (+ (log z) (* -1 (log (/ 1 y))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y)))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))> |
#<alt (+ (log -1) (+ (log z) (* -1 (log (/ -1 y)))))> |
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y))))> |
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))))> |
#<alt (+ (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)))))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (log t)> |
#<alt (log t)> |
#<alt (log t)> |
#<alt (log t)> |
#<alt (* -1 (log (/ 1 t)))> |
#<alt (* -1 (log (/ 1 t)))> |
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#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (log y)) (* -1 (log z)))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (log y)) (* -1 (log z)))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (log y)) (* -1 (log z)))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))> |
#<alt (+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log y) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log y) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log y) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 z)) t)) (/ (log y) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log y) t))) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log y) t))) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log y) t))) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 z)) t)) (+ (/ (log -1) t) (/ (log y) t))) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* -1/2 (log t)) (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)))> |
#<alt (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))))> |
#<alt (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))))> |
#<alt (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))))> |
#<alt (* a (log t))> |
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) a))))> |
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) a))))> |
#<alt (* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) a))))> |
#<alt (* a (log t))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))) a)))))> |
#<alt (/ (log z) t)> |
#<alt (/ (log z) t)> |
#<alt (/ (log z) t)> |
#<alt (/ (log z) t)> |
#<alt (* -1 (/ (log (/ 1 z)) t))> |
#<alt (* -1 (/ (log (/ 1 z)) t))> |
#<alt (* -1 (/ (log (/ 1 z)) t))> |
#<alt (* -1 (/ (log (/ 1 z)) t))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) t)> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) t)> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) t)> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 z)))) t)> |
#<alt (/ (log z) t)> |
#<alt (/ (log z) t)> |
#<alt (/ (log z) t)> |
#<alt (/ (log z) t)> |
#<alt (/ (log z) t)> |
#<alt (/ (log z) t)> |
#<alt (/ (log z) t)> |
#<alt (/ (log z) t)> |
#<alt (/ (log z) t)> |
#<alt (/ (log z) t)> |
#<alt (/ (log z) t)> |
#<alt (/ (log z) t)> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (* -1 (log (/ 1 z))))> |
#<alt (+ (log x) (* -1 (log (/ 1 z))))> |
#<alt (+ (log x) (* -1 (log (/ 1 z))))> |
#<alt (+ (log x) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (* -1 x)) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (* -1 x)) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (* -1 x)) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (* -1 x)) (* -1 (log (/ -1 z))))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log z) (* -1 (log (/ 1 x))))> |
#<alt (+ (log z) (* -1 (log (/ 1 x))))> |
#<alt (+ (log z) (* -1 (log (/ 1 x))))> |
#<alt (+ (log z) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))> |
#<alt -1/8> |
#<alt (- (pow a 3) 1/8)> |
#<alt (- (pow a 3) 1/8)> |
#<alt (- (pow a 3) 1/8)> |
#<alt (pow a 3)> |
#<alt (* (pow a 3) (- 1 (* 1/8 (/ 1 (pow a 3)))))> |
#<alt (* (pow a 3) (- 1 (* 1/8 (/ 1 (pow a 3)))))> |
#<alt (* (pow a 3) (- 1 (* 1/8 (/ 1 (pow a 3)))))> |
#<alt (pow a 3)> |
#<alt (* -1 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 3))) 1)))> |
#<alt (* -1 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 3))) 1)))> |
#<alt (* -1 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 3))) 1)))> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (* -1 (/ (log (/ 1 y)) t))> |
#<alt (* -1 (/ (log (/ 1 y)) t))> |
#<alt (* -1 (/ (log (/ 1 y)) t))> |
#<alt (* -1 (/ (log (/ 1 y)) t))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 y)))) t)> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 y)))) t)> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 y)))) t)> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 y)))) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | z | @ | -inf | (- (+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x))) t) |
| 17.0ms | z | @ | 0 | (- (+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x))) t) |
| 16.0ms | t | @ | 0 | (+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x))) |
| 14.0ms | x | @ | -inf | (- (+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x))) t) |
| 14.0ms | x | @ | 0 | (- (+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x))) t) |
| 1× | batch-egg-rewrite |
| 5 034× | accelerator-lowering-fma.f32 |
| 5 034× | accelerator-lowering-fma.f64 |
| 4 846× | /-lowering-/.f32 |
| 4 846× | /-lowering-/.f64 |
| 3 328× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 165 |
| 1 | 287 | 131 |
| 2 | 2961 | 128 |
| 0 | 8552 | 121 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log t) (/ 1 (+ a -1/2))) |
(+ (- (+ (log (+ x y)) (log z)) t) (/ (log t) (/ 1 (+ a -1/2)))) |
(- (+ (log (+ x y)) (log z)) t) |
(+ (log (+ x y)) (log z)) |
(neg t) |
(log t) |
(* (log t) a) |
(- (+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x))) t) |
(+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x))) |
(/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4)) |
(* t (+ (/ (log z) t) (- (/ (log y) t) 1))) |
(+ (/ (log z) t) (- (/ (log y) t) 1)) |
(+ (* t (+ (/ (log z) t) (- (/ (log y) t) 1))) (* (- a 1/2) (log t))) |
(/ (log z) t) |
(log (* z x)) |
(+ (* a (* a a)) -1/8) |
(/ (log y) t) |
| Outputs |
|---|
(+.f64 (*.f64 (log.f64 t) a) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (log.f64 t) a) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) |
(+.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (*.f64 (log.f64 t) a)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) (*.f64 (log.f64 t) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal -1/2 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) (+.f64 a #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) a (*.f64 #s(literal -1/2 binary64) (log.f64 t))) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (*.f64 (log.f64 t) a)) |
(fma.f64 a (log.f64 t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(fma.f64 a (log.f64 t) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (*.f64 (log.f64 t) a)) |
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
(/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))) |
(/.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 t)) (/.f64 #s(literal -1 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 (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 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))) (*.f64 #s(literal 1 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))) (*.f64 #s(literal 1 binary64) (fma.f64 a (+.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 (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 #s(literal 1 binary64) (log.f64 t)) (/.f64 #s(literal 1 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)))) (-.f64 #s(literal 0 binary64) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (log.f64 t) (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 (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #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 (*.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 t))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 a (+.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 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))) (log.f64 t)) (-.f64 #s(literal 0 binary64) (fma.f64 a (+.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 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 t))) (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 t)))) (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (+.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 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))) (log.f64 t))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) |
(*.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 t))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 a #s(literal -1/2 binary64))))) |
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(*.f64 (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
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(/.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) t) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) t)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 y))) (neg.f64 (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 y) #s(literal -1 binary64))) t) |
(/.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 y) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) t)) |
(pow.f64 (/.f64 t (log.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 t (log.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 y) t)) |
(*.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (log.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) |
(*.f64 (/.f64 (log.f64 y) t) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) t) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (log.f64 y) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 10 854× | accelerator-lowering-fma.f32 |
| 10 854× | accelerator-lowering-fma.f64 |
| 4 612× | +-lowering-+.f64 |
| 4 612× | +-lowering-+.f32 |
| 3 190× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 616 | 7580 |
| 1 | 1860 | 7300 |
| 2 | 6125 | 7036 |
| 0 | 8346 | 6698 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (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)) |
(* -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 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))))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(log 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)))) |
(* a (log t)) |
(* a (log t)) |
(* a (log t)) |
(* a (log t)) |
(* -1 (* a (log (/ 1 t)))) |
(* -1 (* a (log (/ 1 t)))) |
(* -1 (* a (log (/ 1 t)))) |
(* -1 (* a (log (/ 1 t)))) |
(* a (+ (log -1) (* -1 (log (/ -1 t))))) |
(* a (+ (log -1) (* -1 (log (/ -1 t))))) |
(* a (+ (log -1) (* -1 (log (/ -1 t))))) |
(* a (+ (log -1) (* -1 (log (/ -1 t))))) |
(* a (log t)) |
(* a (log t)) |
(* a (log t)) |
(* a (log t)) |
(* a (log t)) |
(* a (log t)) |
(* a (log t)) |
(* a (log t)) |
(* a (log t)) |
(* a (log t)) |
(* a (log t)) |
(* a (log t)) |
(+ (log (* x z)) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (* a (+ 1/2 a))))) |
(+ (log (* x z)) (+ (* -1 t) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (* a (+ 1/2 a)))))) |
(+ (log (* x z)) (+ (* -1 t) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (* a (+ 1/2 a)))))) |
(+ (log (* x z)) (+ (* -1 t) (/ (* (log t) (- (pow a 3) 1/8)) (+ 1/4 (* a (+ 1/2 a)))))) |
(* -1 t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 3) 1/8)) (* t (+ 1/4 (* a (+ 1/2 a)))))) (/ (log (* x z)) t)) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 3) 1/8)) (* t (+ 1/4 (* a (+ 1/2 a)))))) (/ (log (* x z)) t)) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 3) 1/8)) (* t (+ 1/4 (* a (+ 1/2 a)))))) (/ (log (* x z)) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* x z)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 3) 1/8)) (+ 1/4 (* a (+ 1/2 a))))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* x z)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 3) 1/8)) (+ 1/4 (* a (+ 1/2 a))))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* x z)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 3) 1/8)) (+ 1/4 (* a (+ 1/2 a))))) t))))) |
(- (+ (log (* x z)) (* -1/2 (log t))) t) |
(- (+ (log (* x z)) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log (* x z)) (+ (* -1/2 (log t)) (* a (- (* -1 (* a (+ (* -2 (log t)) (* 2 (log t))))) (* -1 (log t)))))) t) |
(- (+ (log (* x z)) (+ (* -1/2 (log t)) (* a (- (* a (- (* 2 (* a (+ (* -2 (log t)) (* 2 (log t))))) (+ (* -2 (log t)) (* 2 (log t))))) (* -1 (log t)))))) t) |
(* a (log t)) |
(* a (- (+ (log t) (/ (log (* x z)) a)) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* -1 (/ (+ (* -1/4 (log t)) (* 1/4 (log t))) (pow a 2))) (/ (log (* x z)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* 1/2 (/ (+ (* -1/4 (log t)) (* 1/4 (log t))) (pow a 3))) (/ (log (* x z)) a))) (+ (* -1/4 (/ (log t) (pow a 2))) (+ (* 1/4 (/ (log t) (pow a 2))) (+ (* 1/2 (/ (log t) a)) (/ t a)))))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* x z)) (* -1/2 (log t))) t) a))))) |
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(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
-1/8 |
(- (pow a 3) 1/8) |
(- (pow a 3) 1/8) |
(- (pow a 3) 1/8) |
(pow a 3) |
(* (pow a 3) (- 1 (* 1/8 (/ 1 (pow a 3))))) |
(* (pow a 3) (- 1 (* 1/8 (/ 1 (pow a 3))))) |
(* (pow a 3) (- 1 (* 1/8 (/ 1 (pow a 3))))) |
(pow a 3) |
(* -1 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 3))) 1))) |
(* -1 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 3))) 1))) |
(* -1 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 3))) 1))) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(* -1 (/ (log (/ 1 y)) t)) |
(* -1 (/ (log (/ 1 y)) t)) |
(* -1 (/ (log (/ 1 y)) t)) |
(* -1 (/ (log (/ 1 y)) t)) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) t) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) t) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) t) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
| Outputs |
|---|
(* (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)))) |
(* -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 (fma.f64 (log.f64 t) (/.f64 #s(literal -1/2 binary64) a) (log.f64 t))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 a (fma.f64 (log.f64 t) (/.f64 #s(literal -1/2 binary64) a) (log.f64 t))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 a (fma.f64 (log.f64 t) (/.f64 #s(literal -1/2 binary64) a) (log.f64 t))) |
(* a (log t)) |
(*.f64 (log.f64 t) a) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 a (fma.f64 (log.f64 t) (/.f64 #s(literal -1/2 binary64) a) (log.f64 t))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 a (fma.f64 (log.f64 t) (/.f64 #s(literal -1/2 binary64) a) (log.f64 t))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 a (fma.f64 (log.f64 t) (/.f64 #s(literal -1/2 binary64) a) (log.f64 t))) |
(- (+ (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 (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (/.f64 x y))) (-.f64 (log.f64 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 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.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 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 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (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))) 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)) (/.f64 y x)) (-.f64 (log.f64 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 (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)) (log.f64 z))) (-.f64 (log.f64 x) t)) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) |
(+.f64 (+.f64 (fma.f64 #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 (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))) (log.f64 x)) (-.f64 (log.f64 z) 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)) (-.f64 (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))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t) |
(+.f64 (-.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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x) (-.f64 #s(literal 0 binary64) 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 (-.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 (+.f64 y (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) x)) 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)) (/.f64 y x)) (-.f64 (log.f64 x) t))) |
(- (+ (log x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))) t) |
(+.f64 (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)) (log.f64 z))) (-.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))) (* (log t) (- a 1/2))))) t) |
(+.f64 (log.f64 x) (-.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))) 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 (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (/.f64 x y))) (-.f64 (log.f64 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 (log.f64 y) (-.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.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 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 z) (+.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (*.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 -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 (+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (/.f64 x y)) (-.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))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* (log t) (- a 1/2)))))) t) |
(+.f64 (-.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 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) y)) 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)) (* (log t) (- a 1/2)))))) t) |
(+.f64 (+.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 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) y)) y)) y)) (-.f64 (log.f64 #s(literal -1 binary64)) t)) |
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(+.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (+.f64 y x))) (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))) (* (log t) (- a 1/2))))) t) |
(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (+.f64 y x))) (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))) (* (log t) (- a 1/2))))) t) |
(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (+.f64 y x))) (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))) (* (log t) (- a 1/2))))) t) |
(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (+.f64 y x))) (log.f64 (/.f64 #s(literal -1 binary64) z))) (-.f64 (log.f64 #s(literal -1 binary64)) t)) |
(+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) |
(+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (+.f64 y x)))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 z) t))) |
(* -1 t) |
(-.f64 #s(literal 0 binary64) t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(*.f64 t (+.f64 (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) #s(literal -1 binary64)))) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(*.f64 t (+.f64 (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) #s(literal -1 binary64)))) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(*.f64 t (+.f64 (/.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t) (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) #s(literal -1 binary64)))) |
(* -1 t) |
(-.f64 #s(literal 0 binary64) t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(fma.f64 t (/.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (+.f64 (log.f64 z) (log.f64 (+.f64 y x)))) t) (-.f64 #s(literal 0 binary64) t)) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(fma.f64 t (/.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (+.f64 (log.f64 z) (log.f64 (+.f64 y x)))) t) (-.f64 #s(literal 0 binary64) t)) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
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-1/2 |
#s(literal -1/2 binary64) |
(- a 1/2) |
(+.f64 a #s(literal -1/2 binary64)) |
(- a 1/2) |
(+.f64 a #s(literal -1/2 binary64)) |
(- a 1/2) |
(+.f64 a #s(literal -1/2 binary64)) |
a |
(* a (- 1 (* 1/2 (/ 1 a)))) |
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(* a (- 1 (* 1/2 (/ 1 a)))) |
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(* a (- 1 (* 1/2 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) |
a |
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(+ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) (* (log t) (- a 1/2))) |
(fma.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (* (log t) (- a 1/2))) |
(fma.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (* (log t) (- a 1/2))) |
(fma.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (* (log t) (- a 1/2))) |
(fma.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(+ (* t (- (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log z) t)) 1)) (* (log t) (- a 1/2))) |
(fma.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2))) |
(fma.f64 t (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2))) |
(fma.f64 t (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2))) |
(fma.f64 t (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ (log -1) t) (/ (log z) t))) 1)) (* (log t) (- a 1/2))) |
(fma.f64 t (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64))) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(+ (* -1/2 (log t)) (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))) |
(fma.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)))) |
(fma.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)))) |
(fma.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)))) |
(fma.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) 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)) (/ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) a)))) |
(*.f64 a (fma.f64 t (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)) a) (fma.f64 (log.f64 t) (/.f64 #s(literal -1/2 binary64) a) (log.f64 t)))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) a)))) |
(*.f64 a (fma.f64 t (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)) a) (fma.f64 (log.f64 t) (/.f64 #s(literal -1/2 binary64) a) (log.f64 t)))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (+ (/ (log y) t) (/ (log z) t)) 1)) a)))) |
(*.f64 a (fma.f64 t (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)) a) (fma.f64 (log.f64 t) (/.f64 #s(literal -1/2 binary64) a) (log.f64 t)))) |
(* a (log t)) |
(*.f64 (log.f64 t) a) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))) a))))) |
(*.f64 a (+.f64 (log.f64 t) (/.f64 (fma.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) a))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))) a))))) |
(*.f64 a (+.f64 (log.f64 t) (/.f64 (fma.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) a))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (+ (/ (log y) t) (/ (log z) t)) 1))) a))))) |
(*.f64 a (+.f64 (log.f64 t) (/.f64 (fma.f64 t (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) a))) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(* -1 (/ (log (/ 1 z)) t)) |
(/.f64 (log.f64 z) t) |
(* -1 (/ (log (/ 1 z)) t)) |
(/.f64 (log.f64 z) t) |
(* -1 (/ (log (/ 1 z)) t)) |
(/.f64 (log.f64 z) t) |
(* -1 (/ (log (/ 1 z)) t)) |
(/.f64 (log.f64 z) t) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) z))) t) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(+ (log x) (log z)) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log x) (log z)) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log x) (log z)) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log x) (log z)) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log x) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log x) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log x) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log x) (* -1 (log (/ 1 z)))) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log (* -1 x)) (* -1 (log (/ -1 z)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) z))) |
(+ (log (* -1 x)) (* -1 (log (/ -1 z)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) z))) |
(+ (log (* -1 x)) (* -1 (log (/ -1 z)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) z))) |
(+ (log (* -1 x)) (* -1 (log (/ -1 z)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) z))) |
(+ (log x) (log z)) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log x) (log z)) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log x) (log z)) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log x) (log z)) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 z) (log.f64 x)) |
(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
-1/8 |
#s(literal -1/8 binary64) |
(- (pow a 3) 1/8) |
(fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) |
(- (pow a 3) 1/8) |
(fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) |
(- (pow a 3) 1/8) |
(fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* (pow a 3) (- 1 (* 1/8 (/ 1 (pow a 3))))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a a))))) |
(* (pow a 3) (- 1 (* 1/8 (/ 1 (pow a 3))))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a a))))) |
(* (pow a 3) (- 1 (* 1/8 (/ 1 (pow a 3))))) |
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a a))))) |
(pow a 3) |
(*.f64 a (*.f64 a a)) |
(* -1 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 3))) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 3))) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) |
(* -1 (* (pow a 3) (- (* 1/8 (/ 1 (pow a 3))) 1))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(* -1 (/ (log (/ 1 y)) t)) |
(/.f64 (log.f64 y) t) |
(* -1 (/ (log (/ 1 y)) t)) |
(/.f64 (log.f64 y) t) |
(* -1 (/ (log (/ 1 y)) t)) |
(/.f64 (log.f64 y) t) |
(* -1 (/ (log (/ 1 y)) t)) |
(/.f64 (log.f64 y) t) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) t) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) t) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) t) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) t) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
Compiled 39 084 to 3 166 computations (91.9% saved)
40 alts after pruning (37 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 417 | 12 | 1 429 |
| Fresh | 6 | 25 | 31 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 425 | 40 | 1 465 |
| Status | Accuracy | Program |
|---|---|---|
| 77.1% | (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z y)) #s(literal -1 binary64)) t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) | |
| 64.1% | (fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 y z)) t)) | |
| 59.7% | (fma.f64 (/.f64 (*.f64 (log.f64 t) (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 (log.f64 (*.f64 y z)) t)) | |
| ▶ | 99.6% | (fma.f64 (/.f64 (log.f64 z) t) t (fma.f64 t (+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
| 77.2% | (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) | |
| 29.2% | (fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| 64.0% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (fma.f64 a a #s(literal -1/4 binary64))) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) | |
| 99.5% | (fma.f64 (*.f64 t (log.f64 z)) (/.f64 #s(literal 1 binary64) t) (fma.f64 t (+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) | |
| 28.9% | (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z (+.f64 y x)))) | |
| ▶ | 4.9% | (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) |
| 50.6% | (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) (*.f64 (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))) #s(literal 1 binary64))) (*.f64 (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 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))) | |
| 58.5% | (/.f64 (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 a #s(literal -1/2 binary64))) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (log.f64 t))) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))) | |
| 21.4% | (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) t) | |
| 13.5% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (fma.f64 t t #s(literal 0 binary64))) | |
| 35.9% | (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) #s(literal 2 binary64))) a) (-.f64 (log.f64 t) (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a))) | |
| 13.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))))) | |
| 21.3% | (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))))) | |
| 17.4% | (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z x))) t) | |
| 73.7% | (-.f64 (*.f64 (log.f64 t) a) t) | |
| 77.2% | (-.f64 (log.f64 (*.f64 y z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) | |
| 71.9% | (+.f64 (-.f64 (+.f64 (log.f64 y) (log.f64 z)) t) (/.f64 (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) | |
| 76.5% | (+.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))) | |
| 76.5% | (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 56.8% | (+.f64 (-.f64 #s(literal 0 binary64) t) (*.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))))) | |
| 99.5% | (+.f64 (*.f64 t (fma.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| ✓ | 99.5% | (+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 (/.f64 (log.f64 y) t) #s(literal 1 binary64)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 68.9% | (+.f64 (log.f64 y) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) | |
| ▶ | 32.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 t))) a) |
| 21.3% | (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) t)) | |
| 13.4% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64)))) | |
| ✓ | 32.6% | (*.f64 (log.f64 t) a) |
| 56.8% | (*.f64 t (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (*.f64 t (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal -1 binary64)))) | |
| 89.8% | (*.f64 t (+.f64 #s(literal -1 binary64) (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)))) | |
| 89.8% | (*.f64 t (+.f64 #s(literal -1 binary64) (+.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))))) | |
| 63.1% | (*.f64 a (fma.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (/.f64 #s(literal 1 binary64) a) (log.f64 t))) | |
| 30.8% | (*.f64 a (/.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) (-.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) (log.f64 t)) (pow.f64 (log.f64 t) #s(literal 2 binary64))))) | |
| ▶ | 26.3% | (*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 t a))) |
| ▶ | 63.1% | (*.f64 a (+.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))))) |
| 37.0% | (*.f64 a (*.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 t) (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a))))) | |
| ✓ | 43.2% | (neg.f64 t) |
Compiled 2 001 to 1 217 computations (39.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 t) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
| ✓ | cost-diff | 1408 | (*.f64 a (+.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))))) |
| ✓ | cost-diff | 6016 | (+.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))) |
| ✓ | cost-diff | 0 | (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
| ✓ | cost-diff | 0 | (log.f64 t) |
| ✓ | cost-diff | 0 | (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) |
| ✓ | cost-diff | -64 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 t))) a) |
| ✓ | cost-diff | 0 | (log.f64 t) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (log.f64 t)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 t))) |
| ✓ | cost-diff | 0 | (/.f64 t a) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) (/.f64 t a)) |
| ✓ | cost-diff | 1024 | (*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 t a))) |
| ✓ | cost-diff | 0 | (log.f64 z) |
| ✓ | cost-diff | 0 | (/.f64 (log.f64 z) t) |
| ✓ | cost-diff | 896 | (fma.f64 (/.f64 (log.f64 z) t) t (fma.f64 t (+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
| ✓ | cost-diff | 1088 | (fma.f64 t (+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
| 13 586× | accelerator-lowering-fma.f32 |
| 13 586× | accelerator-lowering-fma.f64 |
| 2 698× | --lowering--.f32 |
| 2 698× | --lowering--.f64 |
| 2 594× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 289 |
| 1 | 119 | 287 |
| 2 | 250 | 275 |
| 3 | 658 | 262 |
| 4 | 1711 | 262 |
| 5 | 4533 | 262 |
| 6 | 7422 | 262 |
| 0 | 8662 | 251 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ (log z) t) t) (+ (* t (+ (/ (log y) t) -1)) (* (log t) (+ a -1/2)))) |
(/ (log z) t) |
(log z) |
z |
t |
(+ (* t (+ (/ (log y) t) -1)) (* (log t) (+ a -1/2))) |
(+ (/ (log y) t) -1) |
(/ (log y) t) |
(log y) |
y |
-1 |
(* (log t) (+ a -1/2)) |
(log t) |
(+ a -1/2) |
a |
-1/2 |
(* a (- 0 (/ t a))) |
a |
(- 0 (/ t a)) |
0 |
(/ t a) |
t |
(* (/ 1 (/ 1 (log t))) a) |
(/ 1 (/ 1 (log t))) |
1 |
(/ 1 (log t)) |
(log t) |
t |
a |
(+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x))) |
(log t) |
t |
(/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4)) |
(+ (* a (* a a)) -1/8) |
a |
(* a a) |
-1/8 |
(+ (* a (+ a 1/2)) 1/4) |
(+ a 1/2) |
1/2 |
1/4 |
(log (* z x)) |
(* z x) |
z |
x |
(* a (+ (log t) (/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t)))))) |
a |
(+ (log t) (/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t))))) |
(log t) |
t |
(/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t)))) |
1 |
(/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t))) |
(+ (* (log t) -1/2) (- (log (* z (+ y x))) t)) |
-1/2 |
(- (log (* z (+ y x))) t) |
(log (* z (+ y x))) |
(* z (+ y x)) |
z |
(+ y x) |
y |
x |
| Outputs |
|---|
(+ (* (/ (log z) t) t) (+ (* t (+ (/ (log y) t) -1)) (* (log t) (+ a -1/2)))) |
(+.f64 (log.f64 z) (-.f64 (log.f64 y) (fma.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a) t))) |
(/ (log z) t) |
(/.f64 (log.f64 z) t) |
(log z) |
(log.f64 z) |
z |
t |
(+ (* t (+ (/ (log y) t) -1)) (* (log t) (+ a -1/2))) |
(-.f64 (log.f64 y) (fma.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a) t)) |
(+ (/ (log y) t) -1) |
(+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) |
(/ (log y) t) |
(/.f64 (log.f64 y) t) |
(log y) |
(log.f64 y) |
y |
-1 |
#s(literal -1 binary64) |
(* (log t) (+ a -1/2)) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(log t) |
(log.f64 t) |
(+ a -1/2) |
(+.f64 a #s(literal -1/2 binary64)) |
a |
-1/2 |
#s(literal -1/2 binary64) |
(* a (- 0 (/ t a))) |
(-.f64 #s(literal 0 binary64) t) |
a |
(- 0 (/ t a)) |
(-.f64 #s(literal 0 binary64) (/.f64 t a)) |
0 |
#s(literal 0 binary64) |
(/ t a) |
(/.f64 t a) |
t |
(* (/ 1 (/ 1 (log t))) a) |
(fma.f64 (log.f64 t) a #s(literal 0 binary64)) |
(/ 1 (/ 1 (log t))) |
(log.f64 t) |
1 |
#s(literal 1 binary64) |
(/ 1 (log t)) |
(/.f64 #s(literal 1 binary64) (log.f64 t)) |
(log t) |
(log.f64 t) |
t |
a |
(+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x))) |
(fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) |
(log t) |
(log.f64 t) |
t |
(/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4)) |
(/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(+ (* a (* a a)) -1/8) |
(fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) |
a |
(* a a) |
(*.f64 a a) |
-1/8 |
#s(literal -1/8 binary64) |
(+ (* a (+ a 1/2)) 1/4) |
(fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) |
(+ a 1/2) |
(+.f64 a #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
1/4 |
#s(literal 1/4 binary64) |
(log (* z x)) |
(log.f64 (*.f64 z x)) |
(* z x) |
(*.f64 z x) |
z |
x |
(* a (+ (log t) (/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t)))))) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a) t)) |
a |
(+ (log t) (/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a) t)) #s(literal 0 binary64)) |
(log t) |
(log.f64 t) |
t |
(/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t)))) |
(/.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t)) a) |
1 |
#s(literal 1 binary64) |
(/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t))) |
(/.f64 a (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t))) |
(+ (* (log t) -1/2) (- (log (* z (+ y x))) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) t)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (log (* z (+ y x))) t) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) |
(log (* z (+ y x))) |
(log.f64 (*.f64 z (+.f64 y x))) |
(* z (+ y x)) |
(*.f64 z (+.f64 y x)) |
z |
(+ y x) |
(+.f64 y x) |
y |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))) |
| ✓ | accuracy | 99.8% | (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
| ✓ | accuracy | 90.9% | (log.f64 (*.f64 z (+.f64 y x))) |
| ✓ | accuracy | 90.7% | (*.f64 a (+.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))))) |
| ✓ | accuracy | 100.0% | (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) |
| ✓ | accuracy | 86.7% | (log.f64 (*.f64 z x)) |
| ✓ | accuracy | 85.3% | (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
| ✓ | accuracy | 100.0% | (log.f64 t) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 t))) a) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 t))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (log.f64 t)) |
| ✓ | accuracy | 100.0% | (/.f64 t a) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) (/.f64 t a)) |
| ✓ | accuracy | 86.2% | (*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 t a))) |
| ✓ | accuracy | 99.9% | (fma.f64 t (+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 99.8% | (/.f64 (log.f64 z) t) |
| ✓ | accuracy | 99.8% | (/.f64 (log.f64 y) t) |
| ✓ | accuracy | 99.8% | (fma.f64 (/.f64 (log.f64 z) t) t (fma.f64 t (+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
| 80.0ms | 136× | 0 | valid |
| 60.0ms | 120× | 0 | invalid |
Compiled 292 to 53 computations (81.8% saved)
ival-log: 33.0ms (39.3% of total)ival-mult: 19.0ms (22.6% of total)ival-add: 15.0ms (17.9% of total)ival-div: 13.0ms (15.5% of total)ival-sub: 2.0ms (2.4% of total)exact: 1.0ms (1.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* t (+ (/ (log y) t) -1)) (* (log t) (+ a -1/2)))> |
#<alt (+ (* (/ (log z) t) t) (+ (* t (+ (/ (log y) t) -1)) (* (log t) (+ a -1/2))))> |
#<alt (/ (log z) t)> |
#<alt (log z)> |
#<alt (* a (- 0 (/ t a)))> |
#<alt (- 0 (/ t a))> |
#<alt (/ t a)> |
#<alt (/ 1 (/ 1 (log t)))> |
#<alt (/ 1 (log t))> |
#<alt (log t)> |
#<alt (* (/ 1 (/ 1 (log t))) a)> |
#<alt (+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x)))> |
#<alt (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))> |
#<alt (+ (* a (* a a)) -1/8)> |
#<alt (+ (log t) (/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t)))))> |
#<alt (* a (+ (log t) (/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t))))))> |
#<alt (/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t))))> |
#<alt (/ (log y) t)> |
#<alt (log (* z x))> |
#<alt (log (* z (+ y x)))> |
#<alt (+ (* (log t) -1/2) (- (log (* z (+ y x))) t))> |
| Outputs |
|---|
#<alt (+ (log y) (* (log t) (- a 1/2)))> |
#<alt (+ (log y) (+ (* -1 t) (* (log t) (- a 1/2))))> |
#<alt (+ (log y) (+ (* -1 t) (* (log t) (- a 1/2))))> |
#<alt (+ (log y) (+ (* -1 t) (* (log t) (- a 1/2))))> |
#<alt (* -1 t)> |
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log y) t)) 1))> |
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log y) t)) 1))> |
#<alt (* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log y) t)) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t)))))> |
#<alt (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (* -1 (/ (log (/ 1 y)) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (* -1 (/ (log (/ 1 y)) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (* -1 (/ (log (/ 1 y)) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (* -1 (/ (log (/ 1 y)) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2)))> |
#<alt (+ (* -1/2 (log t)) (* t (- (/ (log y) t) 1)))> |
#<alt (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log y) t) 1))))> |
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#<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)) (+ (* -1/2 (/ (log t) a)) (/ (log (* -1 z)) a)))) (/ t a))> |
#<alt (/ (- (+ (log (* y z)) (* -1/2 (log t))) t) a)> |
#<alt (- (+ (* -1/2 (/ (log t) a)) (+ (/ x (* a y)) (/ (log (* y z)) a))) (/ t a))> |
#<alt (- (+ (* -1/2 (/ (log t) a)) (+ (* x (+ (* -1/2 (/ x (* a (pow y 2)))) (/ 1 (* a y)))) (/ (log (* y z)) a))) (/ t a))> |
#<alt (- (+ (* -1/2 (/ (log t) a)) (+ (* x (+ (* x (- (* 1/3 (/ x (* a (pow y 3)))) (* 1/2 (/ 1 (* a (pow y 2)))))) (/ 1 (* a y)))) (/ (log (* y z)) a))) (/ t a))> |
#<alt (/ (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* -1/2 (log t)))) t) a)> |
#<alt (- (+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (log t) a)) (+ (/ y (* a x)) (/ (log z) a)))) (/ t a))> |
#<alt (- (+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (log t) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (+ (/ y (* a x)) (/ (log z) a))))) (/ t a))> |
#<alt (- (+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (log t) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (+ (* 1/3 (/ (pow y 3) (* a (pow x 3)))) (+ (/ y (* a x)) (/ (log z) a)))))) (/ t a))> |
#<alt (/ (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1/2 (log t)))) t) a)> |
#<alt (- (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1/2 (/ (log t) a)) (+ (/ y (* a x)) (/ (log (* -1 z)) a)))) (/ t a))> |
#<alt (- (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* 1/2 (/ (pow y 2) (* a x)))) x)) (+ (* -1/2 (/ (log t) a)) (/ (log (* -1 z)) a)))) (/ t a))> |
#<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)) (+ (* -1/2 (/ (log t) a)) (/ (log (* -1 z)) a)))) (/ t a))> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (* -1 (/ (log (/ 1 y)) t))> |
#<alt (* -1 (/ (log (/ 1 y)) t))> |
#<alt (* -1 (/ (log (/ 1 y)) t))> |
#<alt (* -1 (/ (log (/ 1 y)) t))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 y)))) t)> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 y)))) t)> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 y)))) t)> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 y)))) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (/ (log y) t)> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (* -1 (log (/ 1 z))))> |
#<alt (+ (log x) (* -1 (log (/ 1 z))))> |
#<alt (+ (log x) (* -1 (log (/ 1 z))))> |
#<alt (+ (log x) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (* -1 x)) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (* -1 x)) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (* -1 x)) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (* -1 x)) (* -1 (log (/ -1 z))))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (log z))> |
#<alt (+ (log z) (* -1 (log (/ 1 x))))> |
#<alt (+ (log z) (* -1 (log (/ 1 x))))> |
#<alt (+ (log z) (* -1 (log (/ 1 x))))> |
#<alt (+ (log z) (* -1 (log (/ 1 x))))> |
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z))))> |
#<alt (log (* x z))> |
#<alt (+ (log (* x z)) (/ y x))> |
#<alt (+ (log (* x z)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))> |
#<alt (+ (log (* x z)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))> |
#<alt (+ (log z) (* -1 (log (/ 1 y))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y)))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))> |
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 y))))> |
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (/ x y)))> |
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))> |
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))> |
#<alt (log (* y z))> |
#<alt (+ (log (* y z)) (/ x y))> |
#<alt (+ (log (* y z)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))> |
#<alt (+ (log (* y z)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))> |
#<alt (+ (log z) (* -1 (log (/ 1 x))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x)))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))> |
#<alt (+ (log (* -1 z)) (* -1 (log (/ -1 x))))> |
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x)))> |
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))> |
#<alt (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))> |
#<alt (+ (log (* z (+ x y))) (* -1/2 (log t)))> |
#<alt (+ (log (* z (+ x y))) (+ (* -1 t) (* -1/2 (log t))))> |
#<alt (+ (log (* z (+ x y))) (+ (* -1 t) (* -1/2 (log t))))> |
#<alt (+ (log (* z (+ x y))) (+ (* -1 t) (* -1/2 (log t))))> |
#<alt (* -1 t)> |
#<alt (* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (/ (log (* z (+ x y))) t)) 1))> |
#<alt (* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (/ (log (* z (+ x y))) t)) 1))> |
#<alt (* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (/ (log (* z (+ x y))) t)) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) t)))))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log (* x z)) (* -1/2 (log t))) t)> |
#<alt (- (+ (log (* x z)) (+ (* -1/2 (log t)) (/ y x))) t)> |
#<alt (- (+ (log (* x z)) (+ (* -1/2 (log t)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) t)> |
#<alt (- (+ (log (* x z)) (+ (* -1/2 (log t)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (log t)) (/ x y)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))) t)> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (+ (* -1/2 (log t)) (/ x y)))) t)> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* -1/2 (log t))))) t)> |
#<alt (- (+ (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))))) t)> |
#<alt (- (+ (log (* y z)) (* -1/2 (log t))) t)> |
#<alt (- (+ (log (* y z)) (+ (* -1/2 (log t)) (/ x y))) t)> |
#<alt (- (+ (log (* y z)) (+ (* -1/2 (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t)> |
#<alt (- (+ (log (* y z)) (+ (* -1/2 (log t)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (/ y x)))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))) t)> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))) t)> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1/2 (log t)))) t)> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1/2 (log t)) (/ y x)))) t)> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* -1/2 (log t))))) t)> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* -1/2 (log t))))) t)> |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | a | @ | 0 | (/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t)))) |
| 8.0ms | a | @ | inf | (/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t)))) |
| 3.0ms | t | @ | inf | (- 0 (/ t a)) |
| 2.0ms | a | @ | 0 | (+ (log t) (/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t))))) |
| 2.0ms | t | @ | 0 | (* a (+ (log t) (/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t)))))) |
| 1× | batch-egg-rewrite |
| 4 272× | /-lowering-/.f32 |
| 4 272× | /-lowering-/.f64 |
| 3 332× | *-lowering-*.f32 |
| 3 332× | *-lowering-*.f64 |
| 2 806× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 193 |
| 1 | 326 | 185 |
| 2 | 3145 | 183 |
| 0 | 8479 | 171 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* t (+ (/ (log y) t) -1)) (* (log t) (+ a -1/2))) |
(+ (* (/ (log z) t) t) (+ (* t (+ (/ (log y) t) -1)) (* (log t) (+ a -1/2)))) |
(/ (log z) t) |
(log z) |
(* a (- 0 (/ t a))) |
(- 0 (/ t a)) |
(/ t a) |
(/ 1 (/ 1 (log t))) |
(/ 1 (log t)) |
(log t) |
(* (/ 1 (/ 1 (log t))) a) |
(+ (* (log t) (/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4))) (log (* z x))) |
(/ (+ (* a (* a a)) -1/8) (+ (* a (+ a 1/2)) 1/4)) |
(+ (* a (* a a)) -1/8) |
(+ (log t) (/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t))))) |
(* a (+ (log t) (/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t)))))) |
(/ 1 (/ a (+ (* (log t) -1/2) (- (log (* z (+ y x))) t)))) |
(/ (log y) t) |
(log (* z x)) |
(log (* z (+ y x))) |
(+ (* (log t) -1/2) (- (log (* z (+ y x))) t)) |
| Outputs |
|---|
(+.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t))) |
(+.f64 (*.f64 (log.f64 t) a) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))) |
(+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
(+.f64 (+.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) a)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(+.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64)) (-.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))) (/.f64 (pow.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t))))) |
(fma.f64 t (/.f64 (log.f64 y) t) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
(fma.f64 t (+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (log.f64 y) #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
(fma.f64 (/.f64 (log.f64 y) t) t (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
(fma.f64 (+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (log.f64 t) a (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t))) |
(fma.f64 a (log.f64 t) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) a) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t))) |
(fma.f64 (/.f64 a #s(literal 1 binary64)) (log.f64 t) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))) |
(fma.f64 (*.f64 t (log.f64 y)) (/.f64 #s(literal 1 binary64) t) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
(fma.f64 (*.f64 (+.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) (log.f64 t) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t))) |
(fma.f64 (/.f64 a #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 t)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t))) (pow.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) #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) (neg.f64 (/.f64 (-.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.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 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.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 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (*.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))) (+.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.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 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (*.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (+.f64 (pow.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)) (fma.f64 t t (*.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) t)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64)))) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) t)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.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 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) (*.f64 t (*.f64 t t)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)) (fma.f64 t t (*.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) t))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))))) (neg.f64 (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)) (*.f64 t t))) (neg.f64 (+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) t))) |
(pow.f64 (/.f64 (fma.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.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 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #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 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.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 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t))) |
| 1× | egg-herbie |
| 14 100× | accelerator-lowering-fma.f32 |
| 14 100× | accelerator-lowering-fma.f64 |
| 6 842× | +-lowering-+.f64 |
| 6 842× | +-lowering-+.f32 |
| 4 044× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 806 | 10039 |
| 1 | 2369 | 9621 |
| 2 | 7293 | 9583 |
| 0 | 8113 | 9087 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (log y) (* (log t) (- a 1/2))) |
(+ (log y) (+ (* -1 t) (* (log t) (- a 1/2)))) |
(+ (log y) (+ (* -1 t) (* (log t) (- a 1/2)))) |
(+ (log y) (+ (* -1 t) (* (log t) (- a 1/2)))) |
(* -1 t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log y) t)) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log y) t)) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log y) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t))))) |
(+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2))) |
(+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2))) |
(+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2))) |
(+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2))) |
(+ (* t (- (* -1 (/ (log (/ 1 y)) t)) 1)) (* (log t) (- a 1/2))) |
(+ (* t (- (* -1 (/ (log (/ 1 y)) t)) 1)) (* (log t) (- a 1/2))) |
(+ (* t (- (* -1 (/ (log (/ 1 y)) t)) 1)) (* (log t) (- a 1/2))) |
(+ (* t (- (* -1 (/ (log (/ 1 y)) t)) 1)) (* (log t) (- a 1/2))) |
(+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2))) |
(+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2))) |
(+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2))) |
(+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2))) |
(+ (* -1/2 (log t)) (* t (- (/ (log y) t) 1))) |
(+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log y) t) 1)))) |
(+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log y) t) 1)))) |
(+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log y) t) 1)))) |
(* a (log t)) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (/ (log y) t) 1)) a)))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (/ (log y) t) 1)) a)))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (* t (- (/ (log y) t) 1)) a)))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (/ (log y) t) 1))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (/ (log y) t) 1))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (* -1/2 (log t)) (* t (- (/ (log y) t) 1))) a))))) |
(+ (log z) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))) |
(+ (* -1 (log (/ 1 z))) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))) |
(+ (* -1 (log (/ 1 z))) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))) |
(+ (* -1 (log (/ 1 z))) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))) |
(+ (* -1 (log (/ 1 z))) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))) |
(+ (log -1) (+ (* -1 (log (/ -1 z))) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2))))) |
(+ (log -1) (+ (* -1 (log (/ -1 z))) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2))))) |
(+ (log -1) (+ (* -1 (log (/ -1 z))) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2))))) |
(+ (log -1) (+ (* -1 (log (/ -1 z))) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2))))) |
(+ (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 z) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* t (- (/ (log y) t) 1)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* t (- (* -1 (/ (log (/ 1 y)) t)) 1)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* t (- (* -1 (/ (log (/ 1 y)) t)) 1)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* t (- (* -1 (/ (log (/ 1 y)) t)) 1)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* t (- (* -1 (/ (log (/ 1 y)) t)) 1)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* t (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log -1) t)) 1)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (* -1/2 (log t)) (* t (- (/ (log y) t) 1)))) |
(+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log y) t) 1))))) |
(+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log y) t) 1))))) |
(+ (log z) (+ (* -1/2 (log t)) (+ (* a (log t)) (* t (- (/ (log y) t) 1))))) |
(* a (log t)) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (* t (- (/ (log y) t) 1)) a))))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (* t (- (/ (log y) t) 1)) a))))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (* t (- (/ (log y) t) 1)) a))))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log z) (+ (* -1/2 (log t)) (* t (- (/ (log y) t) 1)))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log z) (+ (* -1/2 (log t)) (* t (- (/ (log y) t) 1)))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log z) (+ (* -1/2 (log t)) (* t (- (/ (log y) t) 1)))) a))))) |
(/ (log z) t) |
(/ (log z) t) |
(/ (log z) t) |
(/ (log z) t) |
(* -1 (/ (log (/ 1 z)) t)) |
(* -1 (/ (log (/ 1 z)) t)) |
(* -1 (/ (log (/ 1 z)) t)) |
(* -1 (/ (log (/ 1 z)) t)) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) t) |
(/ (log z) t) |
(/ (log z) t) |
(/ (log z) t) |
(/ (log z) t) |
(/ (log z) t) |
(/ (log z) t) |
(/ (log z) t) |
(/ (log z) t) |
(/ (log z) t) |
(/ (log z) t) |
(/ (log z) t) |
(/ (log z) t) |
(log z) |
(log z) |
(log z) |
(log z) |
(* -1 (log (/ 1 z))) |
(* -1 (log (/ 1 z))) |
(* -1 (log (/ 1 z))) |
(* -1 (log (/ 1 z))) |
(+ (log -1) (* -1 (log (/ -1 z)))) |
(+ (log -1) (* -1 (log (/ -1 z)))) |
(+ (log -1) (* -1 (log (/ -1 z)))) |
(+ (log -1) (* -1 (log (/ -1 z)))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(* -1 (/ t a)) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t a) |
(/ t 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 (log t)) |
(/ 1 (log t)) |
(/ 1 (log t)) |
(/ 1 (log t)) |
(/ -1 (log (/ 1 t))) |
(/ -1 (log (/ 1 t))) |
(/ -1 (log (/ 1 t))) |
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(+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (log t) a)) (/ (log z) a)))) (/ t a))) (/ x y)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1/2 (/ (log t) a)) (/ (log (* -1 z)) a)))) (/ t a))) |
(+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1/2 (/ (log t) a)) (/ (log (* -1 z)) a)))) (/ t a))) (/ x y)) |
(+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1/2 (/ (log t) a)) (/ (log (* -1 z)) a)))) (/ t a)))) |
(+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1/2 (/ (log t) a)) (/ (log (* -1 z)) a)))) (/ t a)))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* y z)) a))) (/ t a))) |
(+ (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* y z)) a))) (/ t a))) (/ x y)) |
(+ (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* y z)) a))) (/ t a))) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(+ (* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* y z)) a))) (/ t a))) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (log t) a)) (/ (log z) a)))) (/ t a))) |
(+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (log t) a)) (/ (log z) a)))) (/ t a))) (/ y x)) |
(+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (log t) a)) (/ (log z) a)))) (/ t a))) (/ y x))) |
(+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (log t) a)) (/ (log z) a)))) (/ t a))) (/ y x)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1/2 (/ (log t) a)) (/ (log (* -1 z)) a)))) (/ t a))) |
(+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1/2 (/ (log t) a)) (/ (log (* -1 z)) a)))) (/ t a))) (/ y x)) |
(+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1/2 (/ (log t) a)) (/ (log (* -1 z)) a)))) (/ t a)))) |
(+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1/2 (/ (log t) a)) (/ (log (* -1 z)) a)))) (/ t a)))) |
(/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a) |
(/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a) |
(/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a) |
(/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a) |
(/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a) |
(/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a) |
(/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a) |
(/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a) |
(/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a) |
(/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a) |
(/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a) |
(/ (- (+ (log (* z (+ x y))) (* -1/2 (log t))) t) a) |
(/ (+ (log (* z (+ x y))) (* -1/2 (log t))) a) |
(+ (* -1 (/ t a)) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) |
(+ (* -1 (/ t a)) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) |
(+ (* -1 (/ t a)) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) |
(* -1 (/ t a)) |
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) (* a t))) (/ (log (* z (+ x y))) (* a t))) (/ 1 a))) |
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) (* a t))) (/ (log (* z (+ x y))) (* a t))) (/ 1 a))) |
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) (* a t))) (/ (log (* z (+ x y))) (* a t))) (/ 1 a))) |
(* -1 (/ t a)) |
(* -1 (* t (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) (/ (log (* z (+ x y))) a)) t)) (/ 1 a)))) |
(* -1 (* t (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) (/ (log (* z (+ x y))) a)) t)) (/ 1 a)))) |
(* -1 (* t (+ (* -1 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) (/ (log (* z (+ x y))) a)) t)) (/ 1 a)))) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t) a) |
(/ (- (+ (log (* x z)) (* -1/2 (log t))) t) a) |
(- (+ (* -1/2 (/ (log t) a)) (+ (/ y (* a x)) (/ (log (* x z)) a))) (/ t a)) |
(- (+ (* -1/2 (/ (log t) a)) (+ (* y (+ (* -1/2 (/ y (* a (pow x 2)))) (/ 1 (* a x)))) (/ (log (* x z)) a))) (/ t a)) |
(- (+ (* -1/2 (/ (log t) a)) (+ (* y (+ (* y (- (* 1/3 (/ y (* a (pow x 3)))) (* 1/2 (/ 1 (* a (pow x 2)))))) (/ 1 (* a x)))) (/ (log (* x z)) a))) (/ t a)) |
(/ (- (+ (log z) (+ (* -1 (log (/ 1 y))) (* -1/2 (log t)))) t) a) |
(- (+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (log t) a)) (+ (/ x (* a y)) (/ (log z) a)))) (/ t a)) |
(- (+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (log t) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (+ (/ x (* a y)) (/ (log z) a))))) (/ t a)) |
(- (+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (log t) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (+ (* 1/3 (/ (pow x 3) (* a (pow y 3)))) (+ (/ x (* a y)) (/ (log z) a)))))) (/ t a)) |
(/ (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1/2 (log t)))) t) a) |
(- (+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1/2 (/ (log t) a)) (+ (/ x (* a y)) (/ (log (* -1 z)) a)))) (/ t a)) |
(- (+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1 (/ (+ (* -1 (/ x a)) (* 1/2 (/ (pow x 2) (* a y)))) y)) (+ (* -1/2 (/ (log t) a)) (/ (log (* -1 z)) a)))) (/ t 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)) (+ (* -1/2 (/ (log t) a)) (/ (log (* -1 z)) a)))) (/ t a)) |
(/ (- (+ (log (* y z)) (* -1/2 (log t))) t) a) |
(- (+ (* -1/2 (/ (log t) a)) (+ (/ x (* a y)) (/ (log (* y z)) a))) (/ t a)) |
(- (+ (* -1/2 (/ (log t) a)) (+ (* x (+ (* -1/2 (/ x (* a (pow y 2)))) (/ 1 (* a y)))) (/ (log (* y z)) a))) (/ t a)) |
(- (+ (* -1/2 (/ (log t) a)) (+ (* x (+ (* x (- (* 1/3 (/ x (* a (pow y 3)))) (* 1/2 (/ 1 (* a (pow y 2)))))) (/ 1 (* a y)))) (/ (log (* y z)) a))) (/ t a)) |
(/ (- (+ (log z) (+ (* -1 (log (/ 1 x))) (* -1/2 (log t)))) t) a) |
(- (+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (log t) a)) (+ (/ y (* a x)) (/ (log z) a)))) (/ t a)) |
(- (+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (log t) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (+ (/ y (* a x)) (/ (log z) a))))) (/ t a)) |
(- (+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (log t) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (+ (* 1/3 (/ (pow y 3) (* a (pow x 3)))) (+ (/ y (* a x)) (/ (log z) a)))))) (/ t a)) |
(/ (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1/2 (log t)))) t) a) |
(- (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1/2 (/ (log t) a)) (+ (/ y (* a x)) (/ (log (* -1 z)) a)))) (/ t a)) |
(- (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* 1/2 (/ (pow y 2) (* a x)))) x)) (+ (* -1/2 (/ (log t) a)) (/ (log (* -1 z)) a)))) (/ t 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)) (+ (* -1/2 (/ (log t) a)) (/ (log (* -1 z)) a)))) (/ t a)) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(* -1 (/ (log (/ 1 y)) t)) |
(* -1 (/ (log (/ 1 y)) t)) |
(* -1 (/ (log (/ 1 y)) t)) |
(* -1 (/ (log (/ 1 y)) t)) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) t) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) t) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) t) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(/ (log y) t) |
(+ (log x) (log z)) |
(+ (log x) (log z)) |
(+ (log x) (log z)) |
(+ (log x) (log z)) |
(+ (log x) (* -1 (log (/ 1 z)))) |
(+ (log x) (* -1 (log (/ 1 z)))) |
(+ (log x) (* -1 (log (/ 1 z)))) |
(+ (log x) (* -1 (log (/ 1 z)))) |
(+ (log (* -1 x)) (* -1 (log (/ -1 z)))) |
(+ (log (* -1 x)) (* -1 (log (/ -1 z)))) |
(+ (log (* -1 x)) (* -1 (log (/ -1 z)))) |
(+ (log (* -1 x)) (* -1 (log (/ -1 z)))) |
(+ (log x) (log z)) |
(+ (log x) (log z)) |
(+ (log x) (log z)) |
(+ (log x) (log z)) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(+ (log (* -1 z)) (* -1 (log (/ -1 x)))) |
(+ (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 (* 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)))) |
(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 (* z (+ x y))) (* -1/2 (log t))) |
(+ (log (* z (+ x y))) (+ (* -1 t) (* -1/2 (log t)))) |
(+ (log (* z (+ x y))) (+ (* -1 t) (* -1/2 (log t)))) |
(+ (log (* z (+ x y))) (+ (* -1 t) (* -1/2 (log t)))) |
(* -1 t) |
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (/ (log (* z (+ x y))) t)) 1)) |
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (/ (log (* z (+ x y))) t)) 1)) |
(* t (- (+ (* 1/2 (/ (log (/ 1 t)) t)) (/ (log (* z (+ x y))) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 t)))))) t))))) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* -1/2 (log t)))) t) |
(- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t) |
(- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t) |
(- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t) |
(- (+ (log (* -1 (+ x y))) (+ (* -1 (log (/ -1 z))) (* -1/2 (log t)))) t) |
(- (+ (log (* x z)) (* -1/2 (log t))) t) |
(- (+ (log (* x z)) (+ (* -1/2 (log t)) (/ y x))) t) |
(- (+ (log (* x z)) (+ (* -1/2 (log t)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) t) |
(- (+ (log (* x z)) (+ (* -1/2 (log t)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (log t)) (/ x y)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1/2 (log t)))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (+ (* -1/2 (log t)) (/ x y)))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* -1/2 (log t))))) t) |
(- (+ (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))))) t) |
(- (+ (log (* y z)) (* -1/2 (log t))) t) |
(- (+ (log (* y z)) (+ (* -1/2 (log t)) (/ x y))) t) |
(- (+ (log (* y z)) (+ (* -1/2 (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t) |
(- (+ (log (* y z)) (+ (* -1/2 (log t)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1/2 (log t)))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1/2 (log t)) (/ y x)))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* -1/2 (log t))))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* -1/2 (log t))))) t) |
| Outputs |
|---|
(+ (log y) (* (log t) (- a 1/2))) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y)) |
(+ (log y) (+ (* -1 t) (* (log t) (- a 1/2)))) |
(+.f64 (log.f64 y) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t)) |
(+ (log y) (+ (* -1 t) (* (log t) (- a 1/2)))) |
(+.f64 (log.f64 y) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t)) |
(+ (log y) (+ (* -1 t) (* (log t) (- a 1/2)))) |
(+.f64 (log.f64 y) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t)) |
(* -1 t) |
(-.f64 #s(literal 0 binary64) t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log y) t)) 1)) |
(*.f64 t (+.f64 (/.f64 (log.f64 y) t) (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) #s(literal -1 binary64)))) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log y) t)) 1)) |
(*.f64 t (+.f64 (/.f64 (log.f64 y) t) (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) #s(literal -1 binary64)))) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (/ (log y) t)) 1)) |
(*.f64 t (+.f64 (/.f64 (log.f64 y) t) (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) #s(literal -1 binary64)))) |
(* -1 t) |
(-.f64 #s(literal 0 binary64) t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t))))) |
(-.f64 #s(literal 0 binary64) (*.f64 t (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (log.f64 y)) t)))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t))))) |
(-.f64 #s(literal 0 binary64) (*.f64 t (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (log.f64 y)) t)))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log y) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t))))) |
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-1/2 |
#s(literal -1/2 binary64) |
(- a 1/2) |
(+.f64 a #s(literal -1/2 binary64)) |
(- a 1/2) |
(+.f64 a #s(literal -1/2 binary64)) |
(- a 1/2) |
(+.f64 a #s(literal -1/2 binary64)) |
a |
(* a (- 1 (* 1/2 (/ 1 a)))) |
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a))) |
a |
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#s(literal -1/8 binary64) |
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(- (pow a 3) 1/8) |
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(pow a 3) |
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(pow a 3) |
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(/.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t) a) |
(log t) |
(log.f64 t) |
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(log t) |
(log.f64 t) |
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(- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (/ t a)) |
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(- (+ (log (* y z)) (+ (* -1/2 (log t)) (/ x y))) t) |
(+.f64 (log.f64 (*.f64 y z)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (/.f64 x y)) t)) |
(- (+ (log (* y z)) (+ (* -1/2 (log t)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t) |
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 y z)))) t) |
(- (+ (log (* y z)) (+ (* -1/2 (log t)) (* 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)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 y z)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* -1/2 (log t)))) t) |
(+.f64 (log.f64 z) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 x)) t)) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (/ y x)))) t) |
(+.f64 (log.f64 z) (+.f64 (log.f64 x) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (/.f64 y x)) t))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))) t) |
(+.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 t) (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 y x))) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (log t)) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))))) t) |
(+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 t) (/.f64 (*.f64 y y) (*.f64 x x))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 y x)) (log.f64 x))) (-.f64 (log.f64 z) t)) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1/2 (log t)))) t) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) z)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) t) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1/2 (log t)) (/ y x)))) t) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) z)) (-.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (/.f64 y x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) t)) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* -1/2 (log t))))) t) |
(+.f64 (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) x) (-.f64 #s(literal 0 binary64) y)) x)) t)) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* -1/2 (log t))))) t) |
(+.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) x) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x)) x))) (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) z)) t)) |
Compiled 34 472 to 3 234 computations (90.6% saved)
49 alts after pruning (47 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 357 | 21 | 1 378 |
| Fresh | 6 | 26 | 32 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 369 | 49 | 1 418 |
| Status | Accuracy | Program |
|---|---|---|
| 77.1% | (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z y)) #s(literal -1 binary64)) t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) | |
| 64.1% | (fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 y z)) t)) | |
| 59.7% | (fma.f64 (/.f64 (*.f64 (log.f64 t) (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 (log.f64 (*.f64 y z)) t)) | |
| 57.2% | (fma.f64 (/.f64 (log.f64 z) t) t (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y))) | |
| 68.9% | (fma.f64 (/.f64 (log.f64 z) t) t (fma.f64 t (+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) | |
| 45.7% | (fma.f64 (/.f64 (log.f64 z) t) t (-.f64 #s(literal 0 binary64) t)) | |
| 35.2% | (fma.f64 (/.f64 (log.f64 z) t) t (*.f64 (log.f64 t) a)) | |
| 77.2% | (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) | |
| 29.2% | (fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| 64.0% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (fma.f64 a a #s(literal -1/4 binary64))) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) | |
| 99.5% | (fma.f64 (*.f64 t (log.f64 z)) (/.f64 #s(literal 1 binary64) t) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))) | |
| 28.9% | (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z (+.f64 y x)))) | |
| 14.8% | (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 z x))) | |
| 3.1% | (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z x))) | |
| 68.9% | (fma.f64 t (+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z))) | |
| 50.6% | (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) (*.f64 (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))) #s(literal 1 binary64))) (*.f64 (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 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))) | |
| 58.5% | (/.f64 (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 a #s(literal -1/2 binary64))) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (log.f64 t))) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))) | |
| 21.4% | (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) t) | |
| 13.5% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (fma.f64 t t #s(literal 0 binary64))) | |
| 35.9% | (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) #s(literal 2 binary64))) a) (-.f64 (log.f64 t) (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a))) | |
| 3.5% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) a) (/.f64 (*.f64 t t) (*.f64 a a))) | |
| 8.4% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) a) (/.f64 t a)) | |
| 32.6% | (/.f64 a (/.f64 #s(literal 1 binary64) (log.f64 t))) | |
| 13.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))))) | |
| 21.3% | (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))))) | |
| 73.7% | (-.f64 (*.f64 (log.f64 t) a) t) | |
| 77.2% | (-.f64 (log.f64 (*.f64 y z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) | |
| 71.9% | (+.f64 (-.f64 (+.f64 (log.f64 y) (log.f64 z)) t) (/.f64 (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) | |
| 76.5% | (+.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))) | |
| 76.5% | (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 56.8% | (+.f64 (-.f64 #s(literal 0 binary64) t) (*.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))))) | |
| 99.5% | (+.f64 (*.f64 t (fma.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 68.9% | (+.f64 (log.f64 y) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) | |
| 12.7% | (*.f64 (pow.f64 (pow.f64 (log.f64 t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) a) | |
| 12.6% | (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 t))))) a) | |
| 21.3% | (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) t)) | |
| 13.4% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64)))) | |
| ✓ | 32.6% | (*.f64 (log.f64 t) a) |
| 56.8% | (*.f64 t (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (*.f64 t (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal -1 binary64)))) | |
| 89.8% | (*.f64 t (+.f64 (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (/.f64 (log.f64 y) t)) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))) | |
| 89.8% | (*.f64 t (+.f64 #s(literal -1 binary64) (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)))) | |
| 43.5% | (*.f64 a (/.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) t) a)) | |
| 63.0% | (*.f64 a (/.f64 (+.f64 (/.f64 a (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) t)) (/.f64 #s(literal 1 binary64) (log.f64 t))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 a (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) t))))) | |
| 26.3% | (*.f64 a (/.f64 t (neg.f64 a))) | |
| 26.2% | (*.f64 a (/.f64 #s(literal -1 binary64) (/.f64 a t))) | |
| 3.5% | (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 a a))))) | |
| 8.5% | (*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) (/.f64 a t))) | |
| 26.2% | (*.f64 a (*.f64 t (neg.f64 (/.f64 #s(literal 1 binary64) a)))) | |
| ✓ | 43.2% | (neg.f64 t) |
Compiled 2 840 to 1 020 computations (64.1% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 t (neg.f64 a))) |
(*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 t a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) t) |
(*.f64 a (*.f64 t (neg.f64 (/.f64 #s(literal 1 binary64) a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 a (/.f64 #s(literal -1 binary64) (/.f64 a t))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (fma.f64 t t #s(literal 0 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) (/.f64 a t))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) a) (/.f64 t a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) a) (/.f64 (*.f64 t t) (*.f64 a a))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 a a))))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 (/.f64 (log.f64 z) t) t (-.f64 #s(literal 0 binary64) t)) |
(*.f64 a (+.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) |
(/.f64 a (/.f64 #s(literal 1 binary64) (log.f64 t))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 t))) a) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.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))))) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z x))) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z x))) t) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 z x))) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) |
(-.f64 (log.f64 (*.f64 y z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(fma.f64 (/.f64 (log.f64 z) t) t (*.f64 (log.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) t) a)) |
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 y z)) t)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z y)) #s(literal -1 binary64)) t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (fma.f64 a a #s(literal -1/4 binary64))) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) |
(fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) |
(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 (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) t) |
(fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z (+.f64 y x)))) |
(fma.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 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(fma.f64 (/.f64 (*.f64 (log.f64 t) (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 (log.f64 (*.f64 y z)) t)) |
(*.f64 t (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (*.f64 t (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) a) |
(+.f64 (log.f64 y) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) |
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (+.f64 (log.f64 z) (log.f64 (+.f64 y x)))) |
(+.f64 (-.f64 (+.f64 (log.f64 y) (log.f64 z)) 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 x y))) (-.f64 (log.f64 z) t)) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 t))))) a) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 t (+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z))) |
(fma.f64 (/.f64 (log.f64 z) t) t (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 y))) |
(+.f64 (-.f64 (+.f64 (log.f64 y) (log.f64 z)) t) (/.f64 (*.f64 (log.f64 t) (fma.f64 a a #s(literal -1/4 binary64))) (+.f64 a #s(literal 1/2 binary64)))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (+.f64 a #s(literal 1/2 binary64)))) |
(*.f64 a (fma.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (/.f64 #s(literal 1 binary64) a) (log.f64 t))) |
(fma.f64 (*.f64 t (log.f64 z)) (/.f64 #s(literal 1 binary64) t) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (fma.f64 (log.f64 y) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))) |
(*.f64 t (+.f64 #s(literal -1 binary64) (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t)))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 (log.f64 z) t) t (fma.f64 t (+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 z) t) (-.f64 (/.f64 (log.f64 y) t) #s(literal 1 binary64)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(+.f64 (-.f64 (+.f64 (log.f64 y) (log.f64 z)) t) (/.f64 (*.f64 (log.f64 t) (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64))) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(fma.f64 (/.f64 (log.f64 z) t) t (fma.f64 t (+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
(*.f64 a (+.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)))))) |
(+.f64 (*.f64 t (+.f64 (/.f64 (log.f64 (+.f64 y x)) t) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(+.f64 (*.f64 t (fma.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 (log.f64 z) t)))) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 (*.f64 t (log.f64 z)) (/.f64 #s(literal 1 binary64) t) (fma.f64 t (+.f64 (/.f64 (log.f64 y) t) #s(literal -1 binary64)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (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 t (+.f64 (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (/.f64 (log.f64 y) t)) (+.f64 (/.f64 (log.f64 z) t) #s(literal -1 binary64)))) |
(*.f64 t (fma.f64 (log.f64 t) (/.f64 (+.f64 a #s(literal -1/2 binary64)) t) (+.f64 (/.f64 (log.f64 z) t) (-.f64 (/.f64 (log.f64 y) t) #s(literal 1 binary64))))) |
(*.f64 t (+.f64 #s(literal -1 binary64) (+.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))))) |
(*.f64 a (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) a) (-.f64 (log.f64 t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) a) (/.f64 t a))))) |
(+.f64 (-.f64 (-.f64 (log.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z)) (log.f64 (-.f64 y x))) t) (*.f64 (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (*.f64 (fma.f64 a a #s(literal -1/4 binary64)) (log.f64 t)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (+.f64 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 a (+.f64 (log.f64 t) (/.f64 (+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) a))) |
(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))) |
(fma.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x y) z))) (-.f64 #s(literal 0 binary64) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))))) |
(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)))) |
(/.f64 (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 a #s(literal -1/2 binary64))) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (log.f64 t))) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))) |
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)))) (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t))) |
(*.f64 a (/.f64 (+.f64 (/.f64 a (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) t)) (/.f64 #s(literal 1 binary64) (log.f64 t))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 a (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) t))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) #s(literal 2 binary64))) a) (-.f64 (log.f64 t) (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a))) |
(*.f64 a (*.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 t) (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) (*.f64 (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))) #s(literal 1 binary64))) (*.f64 (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 #s(literal 1 binary64) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 a (/.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) (-.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) a) (log.f64 t)) (pow.f64 (log.f64 t) #s(literal 2 binary64))))) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 y) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
11 calls:
| 63.0ms | z |
| 42.0ms | (log.f64 z) |
| 40.0ms | y |
| 28.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 26.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | t |
| 99.6% | 1 | a |
| 99.6% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 99.6% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 99.6% | 1 | (log.f64 (+.f64 x y)) |
| 99.6% | 1 | (+.f64 x y) |
| 99.6% | 1 | (log.f64 z) |
| 99.6% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 95 to 75 computations (21.1% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 t (neg.f64 a))) |
(*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 t a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) t) |
(*.f64 a (*.f64 t (neg.f64 (/.f64 #s(literal 1 binary64) a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 a (/.f64 #s(literal -1 binary64) (/.f64 a t))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (fma.f64 t t #s(literal 0 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) (/.f64 a t))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) a) (/.f64 t a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) a) (/.f64 (*.f64 t t) (*.f64 a a))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 a a))))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 (/.f64 (log.f64 z) t) t (-.f64 #s(literal 0 binary64) t)) |
(*.f64 a (+.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) |
(/.f64 a (/.f64 #s(literal 1 binary64) (log.f64 t))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 t))) a) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.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))))) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z x))) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z x))) t) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 z x))) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) |
(-.f64 (log.f64 (*.f64 y z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(fma.f64 (/.f64 (log.f64 z) t) t (*.f64 (log.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) t) a)) |
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 y z)) t)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z y)) #s(literal -1 binary64)) t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (fma.f64 a a #s(literal -1/4 binary64))) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) |
(fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) |
(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 (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) t) |
(fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z (+.f64 y x)))) |
(fma.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 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(fma.f64 (/.f64 (*.f64 (log.f64 t) (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 (log.f64 (*.f64 y z)) t)) |
(*.f64 t (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (*.f64 t (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) a) |
(+.f64 (log.f64 y) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) |
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (+.f64 (log.f64 z) (log.f64 (+.f64 y x)))) |
| Outputs |
|---|
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (+.f64 (log.f64 z) (log.f64 (+.f64 y x)))) |
(-.f64 (*.f64 (log.f64 t) a) t) |
11 calls:
| 36.0ms | t |
| 24.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 16.0ms | (log.f64 z) |
| 16.0ms | (+.f64 x y) |
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.5% | 3 | x |
| 85.1% | 3 | y |
| 89.0% | 2 | z |
| 98.3% | 2 | t |
| 99.1% | 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))) |
| 97.5% | 3 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 85.1% | 3 | (log.f64 (+.f64 x y)) |
| 85.1% | 3 | (+.f64 x y) |
| 89.0% | 2 | (log.f64 z) |
| 99.1% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 95 to 75 computations (21.1% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 t (neg.f64 a))) |
(*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 t a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) t) |
(*.f64 a (*.f64 t (neg.f64 (/.f64 #s(literal 1 binary64) a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 a (/.f64 #s(literal -1 binary64) (/.f64 a t))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (fma.f64 t t #s(literal 0 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) (/.f64 a t))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) a) (/.f64 t a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) a) (/.f64 (*.f64 t t) (*.f64 a a))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 a a))))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 (/.f64 (log.f64 z) t) t (-.f64 #s(literal 0 binary64) t)) |
(*.f64 a (+.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) |
(/.f64 a (/.f64 #s(literal 1 binary64) (log.f64 t))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 t))) a) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.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))))) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z x))) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z x))) t) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 z x))) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) |
(-.f64 (log.f64 (*.f64 y z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(fma.f64 (/.f64 (log.f64 z) t) t (*.f64 (log.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) t) a)) |
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 y z)) t)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z y)) #s(literal -1 binary64)) t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (fma.f64 a a #s(literal -1/4 binary64))) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) |
(fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) |
(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 (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) t) |
(fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z (+.f64 y x)))) |
(fma.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 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(fma.f64 (/.f64 (*.f64 (log.f64 t) (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 (log.f64 (*.f64 y z)) t)) |
(*.f64 t (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (*.f64 t (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) a) |
(+.f64 (log.f64 y) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) |
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) |
| Outputs |
|---|
(-.f64 (*.f64 (log.f64 t) a) t) |
(+.f64 (log.f64 y) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
4 calls:
| 15.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 13.0ms | t |
| 13.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| 13.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | a |
| 99.1% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
| 99.1% | 3 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 89.7% | 2 | t |
Compiled 41 to 32 computations (22% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 t (neg.f64 a))) |
(*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 t a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) t) |
(*.f64 a (*.f64 t (neg.f64 (/.f64 #s(literal 1 binary64) a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 a (/.f64 #s(literal -1 binary64) (/.f64 a t))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (fma.f64 t t #s(literal 0 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) (/.f64 a t))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) a) (/.f64 t a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) a) (/.f64 (*.f64 t t) (*.f64 a a))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 a a))))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 (/.f64 (log.f64 z) t) t (-.f64 #s(literal 0 binary64) t)) |
(*.f64 a (+.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) |
(/.f64 a (/.f64 #s(literal 1 binary64) (log.f64 t))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 t))) a) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.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))))) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z x))) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z x))) t) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 z x))) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) |
(-.f64 (log.f64 (*.f64 y z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 t (*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)))) |
(fma.f64 (/.f64 (log.f64 z) t) t (*.f64 (log.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z (+.f64 y x)))) t) a)) |
(fma.f64 (fma.f64 a a #s(literal -1/4 binary64)) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 y z)) t)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (*.f64 z y)) #s(literal -1 binary64)) t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (fma.f64 a a #s(literal -1/4 binary64))) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) |
(fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) |
(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 (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z x))) t) |
(fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (log.f64 (*.f64 z (+.f64 y x)))) |
(fma.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 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(fma.f64 (/.f64 (*.f64 (log.f64 t) (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 (log.f64 (*.f64 y z)) t)) |
(*.f64 t (fma.f64 (log.f64 t) (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (*.f64 t (fma.f64 a (+.f64 a #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal -1/8 binary64)) (log.f64 t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) a) |
| Outputs |
|---|
(-.f64 (*.f64 (log.f64 t) a) t) |
(fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
4 calls:
| 15.0ms | (+.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 | a |
| 13.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 11.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 90.6% | 3 | a |
| 97.3% | 3 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 90.5% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 47 to 36 computations (23.4% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 t (neg.f64 a))) |
(*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 t a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) t) |
(*.f64 a (*.f64 t (neg.f64 (/.f64 #s(literal 1 binary64) a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 a (/.f64 #s(literal -1 binary64) (/.f64 a t))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (fma.f64 t t #s(literal 0 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) (/.f64 a t))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) a) (/.f64 t a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) a) (/.f64 (*.f64 t t) (*.f64 a a))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 a a))))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 (/.f64 (log.f64 z) t) t (-.f64 #s(literal 0 binary64) t)) |
(*.f64 a (+.f64 (log.f64 t) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) |
(/.f64 a (/.f64 #s(literal 1 binary64) (log.f64 t))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 t))) a) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/2 binary64))))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.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))))) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z x))) |
(-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 (*.f64 z x))) t) |
(fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (log.f64 (*.f64 z x))) |
| Outputs |
|---|
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
11 calls:
| 43.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| 40.0ms | t |
| 9.0ms | (log.f64 (+.f64 x y)) |
| 8.0ms | x |
| 8.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 1 | y |
| 76.5% | 1 | (log.f64 (+.f64 x y)) |
| 76.5% | 1 | (+.f64 x y) |
| 76.5% | 1 | x |
| 76.5% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
| 76.5% | 1 | z |
| 76.5% | 1 | (log.f64 z) |
| 76.5% | 1 | a |
| 76.5% | 1 | t |
| 76.5% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 76.5% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
Compiled 95 to 75 computations (21.1% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 t (neg.f64 a))) |
(*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 t a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) t) |
(*.f64 a (*.f64 t (neg.f64 (/.f64 #s(literal 1 binary64) a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 a (/.f64 #s(literal -1 binary64) (/.f64 a t))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (fma.f64 t t #s(literal 0 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) (/.f64 a t))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) a) (/.f64 t a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) a) (/.f64 (*.f64 t t) (*.f64 a a))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 a a))))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
| Outputs |
|---|
(-.f64 (*.f64 (log.f64 t) a) t) |
11 calls:
| 8.0ms | z |
| 8.0ms | t |
| 7.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 6.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.7% | 1 | t |
| 73.7% | 1 | x |
| 73.7% | 1 | y |
| 73.7% | 1 | z |
| 73.7% | 1 | a |
| 73.7% | 1 | (log.f64 (+.f64 x y)) |
| 73.7% | 1 | (+.f64 x y) |
| 73.7% | 1 | (log.f64 z) |
| 73.7% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
| 73.7% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 73.7% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
Compiled 95 to 75 computations (21.1% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 t (neg.f64 a))) |
(*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 t a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) t) |
(*.f64 a (*.f64 t (neg.f64 (/.f64 #s(literal 1 binary64) a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 a (/.f64 #s(literal -1 binary64) (/.f64 a t))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (fma.f64 t t #s(literal 0 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) (/.f64 a t))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) a) (/.f64 t a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) a) (/.f64 (*.f64 t t) (*.f64 a a))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 a a))))) |
(*.f64 (log.f64 t) a) |
| Outputs |
|---|
(*.f64 (log.f64 t) a) |
(neg.f64 t) |
(*.f64 (log.f64 t) a) |
11 calls:
| 9.0ms | y |
| 7.0ms | z |
| 7.0ms | (+.f64 x y) |
| 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))) |
| 5.0ms | (log.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.1% | 3 | a |
| 43.2% | 1 | x |
| 45.0% | 2 | y |
| 45.0% | 2 | (log.f64 (+.f64 x y)) |
| 45.0% | 2 | (+.f64 x y) |
| 62.4% | 2 | t |
| 66.1% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
| 49.7% | 2 | z |
| 60.3% | 2 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 52.0% | 5 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 49.7% | 2 | (log.f64 z) |
Compiled 95 to 75 computations (21.1% saved)
Total -25.4b remaining (-70%)
Threshold costs -25.4b (-70%)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 t (neg.f64 a))) |
(*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 t a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) t) |
(*.f64 a (*.f64 t (neg.f64 (/.f64 #s(literal 1 binary64) a)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 a (/.f64 #s(literal -1 binary64) (/.f64 a t))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (fma.f64 t t #s(literal 0 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 t (fma.f64 t t #s(literal 0 binary64)))))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) (/.f64 a t))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) (*.f64 a a))) a) (/.f64 t a)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) a) (/.f64 (*.f64 t t) (*.f64 a a))) |
(*.f64 a (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 a a))))) |
| Outputs |
|---|
(neg.f64 t) |
10 calls:
| 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))) |
| 6.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 6.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| 5.0ms | y |
| 5.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.2% | 1 | y |
| 43.2% | 1 | (log.f64 (+.f64 x y)) |
| 43.2% | 1 | (+.f64 x y) |
| 43.2% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 43.2% | 1 | z |
| 43.2% | 1 | (log.f64 z) |
| 43.2% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 43.2% | 1 | t |
| 43.2% | 1 | a |
| 43.2% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 89 to 70 computations (21.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 148.20815543957724 | 1872689.962578682 |
| 12.0ms | 128× | 0 | valid |
Compiled 272 to 207 computations (23.9% saved)
ival-log: 4.0ms (48.6% of total)ival-add: 2.0ms (24.3% of total)ival-sub: 1.0ms (12.2% of total)ival-mult: 1.0ms (12.2% 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 | 1406.2922970637062 | 85196092745.76556 |
| 0.0ms | -1.437154913076825e+23 | -2.968589616245353e+22 |
Compiled 24 to 23 computations (4.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 693.0263296707396 | 700.729019082644 |
| 0.0ms | -767.9751507038384 | -653.1227226887945 |
Compiled 24 to 23 computations (4.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3980237043254.085 | 4.144843546065208e+20 |
| 0.0ms | -5.167935937405086e+39 | -7.600274648468474e+31 |
Compiled 24 to 23 computations (4.2% saved)
| 1× | egg-herbie |
| 34× | +-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 10× | *-commutative_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 184 |
| 1 | 85 | 181 |
| 2 | 96 | 181 |
| 3 | 98 | 181 |
| 4 | 99 | 181 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 y) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(if (<=.f64 t #s(literal 380 binary64)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (+.f64 (log.f64 z) (log.f64 (+.f64 y x)))) (-.f64 (*.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 -99999999999999991611392 binary64)) (-.f64 (*.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 2000 binary64)) (+.f64 (log.f64 y) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -700 binary64)) (-.f64 (*.f64 (log.f64 t) a) t) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 700 binary64)) (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -5000000000000000151893014213501833445376 binary64)) (*.f64 (log.f64 t) a) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 5000000000000 binary64)) (neg.f64 t) (*.f64 (log.f64 t) a))) |
(neg.f64 t) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 y) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(if (<=.f64 t #s(literal 380 binary64)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (+.f64 (log.f64 z) (log.f64 (+.f64 y x)))) (-.f64 (*.f64 (log.f64 t) a) t)) |
(if (<=.f64 t #s(literal 380 binary64)) (fma.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)) (+.f64 (log.f64 z) (log.f64 (+.f64 y x)))) (-.f64 (*.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 -99999999999999991611392 binary64)) (-.f64 (*.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 2000 binary64)) (+.f64 (log.f64 y) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))) |
(if (<=.f64 (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t)) #s(literal -99999999999999991611392 binary64)) (-.f64 (*.f64 a (log.f64 t)) t) (if (<=.f64 (+.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t)) #s(literal 2000 binary64)) (+.f64 (log.f64 y) (-.f64 (fma.f64 (log.f64 t) #s(literal -1/2 binary64) (log.f64 z)) t)) (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) t))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -700 binary64)) (-.f64 (*.f64 (log.f64 t) a) t) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 700 binary64)) (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))) |
(if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal -700 binary64)) (-.f64 (*.f64 a (log.f64 t)) t) (if (<=.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) #s(literal 700 binary64)) (fma.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 y z)) t)) (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) t))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) t) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(-.f64 (*.f64 a (log.f64 t)) t) |
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -5000000000000000151893014213501833445376 binary64)) (*.f64 (log.f64 t) a) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 5000000000000 binary64)) (neg.f64 t) (*.f64 (log.f64 t) a))) |
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -5000000000000000151893014213501833445376 binary64)) (*.f64 a (log.f64 t)) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 5000000000000 binary64)) (-.f64 #s(literal 0 binary64) t) (*.f64 a (log.f64 t)))) |
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
| 11 574× | accelerator-lowering-fma.f32 |
| 11 574× | accelerator-lowering-fma.f64 |
| 10 854× | accelerator-lowering-fma.f32 |
| 10 854× | accelerator-lowering-fma.f64 |
| 8 664× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 245 |
| 1 | 374 | 201 |
| 2 | 3740 | 201 |
| 0 | 8916 | 189 |
| 0 | 381 | 3139 |
| 1 | 1098 | 2980 |
| 2 | 3509 | 2941 |
| 0 | 8106 | 2791 |
| 0 | 15 | 39 |
| 1 | 93 | 39 |
| 2 | 828 | 39 |
| 0 | 8271 | 38 |
| 0 | 616 | 7580 |
| 1 | 1860 | 7300 |
| 2 | 6125 | 7036 |
| 0 | 8346 | 6698 |
| 0 | 1172 | 14329 |
| 1 | 3592 | 13743 |
| 0 | 8229 | 13109 |
| 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× | node limit |
Compiled 467 to 275 computations (41.1% saved)
Compiled 618 to 282 computations (54.4% saved)
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