
Time bar (total: 13.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 74.8% | 0.2% | 0% | 24.9% | 0% | 3 |
| 0% | 0% | 37.4% | 0.2% | 0% | 62.3% | 0% | 4 |
| 0% | 0% | 18.7% | 0.2% | 0% | 81.1% | 0% | 5 |
| 0% | 0% | 18.7% | 0.2% | 0% | 81.1% | 0% | 6 |
| 0% | 0% | 18.7% | 0.2% | 0% | 81.1% | 0% | 7 |
| 10% | 1.6% | 14% | 0.2% | 0% | 84.2% | 0% | 8 |
| 10% | 1.6% | 14% | 0.2% | 0% | 84.2% | 0% | 9 |
| 10% | 1.6% | 14% | 0.2% | 0% | 84.2% | 0% | 10 |
| 10% | 1.6% | 14% | 0.2% | 0% | 84.2% | 0% | 11 |
| 20% | 3.1% | 12.5% | 0.2% | 0% | 84.2% | 0% | 12 |
Compiled 18 to 17 computations (5.6% saved)
| 1.5s | 8 256× | 0 | valid |
| 365.0ms | 2 102× | 0 | invalid |
ival-log: 727.0ms (60.4% of total)ival-add: 188.0ms (15.6% of total)ival-sub: 166.0ms (13.8% of total)ival-mult: 101.0ms (8.4% of total)ival-true: 9.0ms (0.7% of total)exact: 7.0ms (0.6% of total)ival-assert: 5.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 6 | 0 | - | 3 | (2.6882422806181177e-259 1.7515649638142943e-106 3.950667870161823e+107 4.6073586367164726e-6 -2.5390622357420962e-192) | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 0 | 0 | - | 0 | - | (log.f64 t) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (log.f64 (+.f64 x y)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (log.f64 z) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (-.f64 a #s(literal 1/2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) | cancellation | 1 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 2 | 253 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 62.0ms | 512× | 0 | valid |
Compiled 136 to 49 computations (64% saved)
ival-log: 18.0ms (51% of total)ival-add: 8.0ms (22.7% of total)ival-sub: 5.0ms (14.2% of total)ival-mult: 4.0ms (11.3% of total)ival-true: 1.0ms (2.8% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 337 |
| 1 | 246 | 337 |
| 2 | 581 | 337 |
| 3 | 1251 | 337 |
| 4 | 2051 | 337 |
| 5 | 2432 | 337 |
| 6 | 2732 | 337 |
| 7 | 2803 | 337 |
| 0 | 15 | 16 |
| 0 | 24 | 16 |
| 1 | 35 | 16 |
| 2 | 60 | 16 |
| 3 | 102 | 16 |
| 4 | 156 | 16 |
| 5 | 177 | 16 |
| 6 | 193 | 16 |
| 7 | 196 | 16 |
| 0 | 196 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))) |
(sort x y)
Compiled 16 to 15 computations (6.3% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
Compiled 16 to 15 computations (6.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 (+.f64 x y)) | |
| cost-diff | 0 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) | |
| cost-diff | 0 | (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) | |
| cost-diff | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 58 |
| 0 | 24 | 58 |
| 1 | 35 | 58 |
| 2 | 60 | 58 |
| 3 | 102 | 58 |
| 4 | 156 | 58 |
| 5 | 177 | 58 |
| 6 | 193 | 58 |
| 7 | 196 | 58 |
| 0 | 196 | 57 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(log.f64 (+.f64 x y)) |
(+.f64 x y) |
x |
y |
(log.f64 z) |
z |
t |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z)))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(log.f64 (+.f64 x y)) |
(log.f64 (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(log.f64 z) |
z |
t |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(log.f64 t) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (log.f64 t) | |
| accuracy | 0.09405006092597981 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| accuracy | 0.16796875 | (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) | |
| accuracy | 0.6619559309806217 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 48.0ms | 256× | 0 | valid |
Compiled 60 to 17 computations (71.7% saved)
ival-add: 16.0ms (45.5% of total)ival-log: 14.0ms (39.8% of total)ival-sub: 3.0ms (8.5% of total)ival-mult: 2.0ms (5.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(log.f64 (+.f64 x y)) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(log.f64 t) |
| Outputs |
|---|
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(- (+ (log y) (log z)) t) |
(- (+ (log y) (+ (log z) (/ x y))) t) |
(- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t) |
(- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) t) |
(+ (log y) (log z)) |
(+ (log y) (+ (log z) (/ x y))) |
(+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) |
(+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(log y) |
(+ (log y) (/ x y)) |
(+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) |
(- (+ (log z) (* -1 (log (/ 1 x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) t) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ y x)) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) t) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) |
(- (+ (log x) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log x) (+ (log z) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))) t) |
(- (+ (log x) (+ (log z) (+ (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (* (log t) (- a 1/2))))) t) |
(- (+ (log x) (log z)) t) |
(- (+ (log x) (+ (log z) (/ y x))) t) |
(- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) t) |
(- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) t) |
(+ (log x) (log z)) |
(+ (log x) (+ (log z) (/ y x))) |
(+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) |
(+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) |
(log x) |
(+ (log x) (/ y x)) |
(+ (log x) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))) |
(+ (log x) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* (log t) (- a 1/2)) (/ x y))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* (log t) (- a 1/2)) (/ x y)))))) t) |
(- (+ (log z) (* -1 (log (/ 1 y)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) t) |
(+ (log z) (* -1 (log (/ 1 y)))) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) |
(* -1 (log (/ 1 y))) |
(+ (* -1 (log (/ 1 y))) (/ x y)) |
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))) |
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* (log t) (- a 1/2)) (/ x y))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) t) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (/ x y))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))) |
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (log (+ x y))) t) |
(+ (log z) (log (+ x y))) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t) |
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) |
(+ (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 t) |
(* -1 t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(* -1 (log (/ 1 t))) |
(* -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))) t))))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(* -1/2 (log t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(* 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)))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 61.0ms | z | @ | 0 | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (* (- a 1/2) (log t)) (log t)) |
| 60.0ms | z | @ | -inf | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (* (- a 1/2) (log t)) (log t)) |
| 28.0ms | z | @ | inf | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (* (- a 1/2) (log t)) (log t)) |
| 12.0ms | t | @ | inf | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (* (- a 1/2) (log t)) (log t)) |
| 12.0ms | t | @ | -inf | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (- (+ (log (+ x y)) (log z)) t) (+ (log (+ x y)) (log z)) (log (+ x y)) (* (- a 1/2) (log t)) (log t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 382 | 2283 |
| 1 | 1144 | 2143 |
| 2 | 4341 | 2059 |
| 0 | 8907 | 1952 |
| 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 y) (log z)) t) |
(- (+ (log y) (+ (log z) (/ x y))) t) |
(- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t) |
(- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) t) |
(+ (log y) (log z)) |
(+ (log y) (+ (log z) (/ x y))) |
(+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) |
(+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(log y) |
(+ (log y) (/ x y)) |
(+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) |
(- (+ (log z) (* -1 (log (/ 1 x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) t) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ y x)) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) t) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) |
(- (+ (log x) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log x) (+ (log z) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))) t) |
(- (+ (log x) (+ (log z) (+ (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (* (log t) (- a 1/2))))) t) |
(- (+ (log x) (log z)) t) |
(- (+ (log x) (+ (log z) (/ y x))) t) |
(- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) t) |
(- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) t) |
(+ (log x) (log z)) |
(+ (log x) (+ (log z) (/ y x))) |
(+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) |
(+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) |
(log x) |
(+ (log x) (/ y x)) |
(+ (log x) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))) |
(+ (log x) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* (log t) (- a 1/2)) (/ x y))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* (log t) (- a 1/2)) (/ x y)))))) t) |
(- (+ (log z) (* -1 (log (/ 1 y)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) t) |
(+ (log z) (* -1 (log (/ 1 y)))) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) |
(* -1 (log (/ 1 y))) |
(+ (* -1 (log (/ 1 y))) (/ x y)) |
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))) |
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* (log t) (- a 1/2)) (/ x y))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) t) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (/ x y))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))) |
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (log (+ x y))) t) |
(+ (log z) (log (+ x y))) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t) |
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) |
(+ (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 t) |
(* -1 t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(* -1 (log (/ 1 t))) |
(* -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))) t))))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(* -1/2 (log t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(* 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)))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
| Outputs |
|---|
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t)) |
(- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(+.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (/.f64 x y)) (log.f64 z)) (-.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 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) y) x (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z))) (-.f64 (log.f64 y) t)) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(+.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) x) y)) (*.f64 y y)) x (/.f64 #s(literal 1 binary64) y)) x (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z))) (-.f64 (log.f64 y) t)) |
(- (+ (log y) (log z)) t) |
(-.f64 (+.f64 (log.f64 z) (log.f64 y)) t) |
(- (+ (log y) (+ (log z) (/ x y))) t) |
(-.f64 (+.f64 (+.f64 (/.f64 x y) (log.f64 y)) (log.f64 z)) t) |
(- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t) |
(-.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) y) x (+.f64 (log.f64 z) (log.f64 y))) t) |
(- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) t) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) x) y)) (*.f64 y y)) x (/.f64 #s(literal 1 binary64) y)) x (+.f64 (log.f64 z) (log.f64 y))) t) |
(+ (log y) (log z)) |
(+.f64 (log.f64 z) (log.f64 y)) |
(+ (log y) (+ (log z) (/ x y))) |
(+.f64 (+.f64 (/.f64 x y) (log.f64 y)) (log.f64 z)) |
(+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) y) x (+.f64 (log.f64 z) (log.f64 y))) |
(+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) x) y)) (*.f64 y y)) x (/.f64 #s(literal 1 binary64) y)) x (+.f64 (log.f64 z) (log.f64 y))) |
(log y) |
(log.f64 y) |
(+ (log y) (/ x y)) |
(+.f64 (/.f64 x y) (log.f64 y)) |
(+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)) y) x (log.f64 y)) |
(+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) x) y)) (*.f64 y y)) x (/.f64 #s(literal 1 binary64) y)) x (log.f64 y)) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 x) t)) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(-.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (+.f64 (log.f64 x) (/.f64 y x))) (log.f64 z)) 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 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1 binary64)) x) y (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (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 (+.f64 (log.f64 x) (log.f64 z)) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) y) x)))) t) |
(- (+ (log z) (* -1 (log (/ 1 x)))) t) |
(-.f64 (+.f64 (log.f64 x) (log.f64 z)) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t) |
(-.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 y x)) (log.f64 z)) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) t) |
(-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1 binary64)) x) y (+.f64 (log.f64 x) (log.f64 z))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) t) |
(-.f64 (+.f64 (+.f64 (log.f64 z) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) y) x))) (log.f64 x)) t) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 z)) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) |
(+.f64 (+.f64 (log.f64 x) (/.f64 y x)) (log.f64 z)) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1 binary64)) x) y (+.f64 (log.f64 x) (log.f64 z))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) |
(+.f64 (+.f64 (log.f64 z) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/2 binary64) y) x))) (log.f64 x)) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ y x)) |
(+.f64 (log.f64 x) (/.f64 y x)) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) |
(fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1 binary64)) x) y (log.f64 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))) |
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(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t) |
(-.f64 (-.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) z))) t) |
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) |
(-.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) z))) |
(+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))) |
(* (log t) (- a 1/2)) |
(*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) |
(log t) |
(log.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) t) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(*.f64 (-.f64 (/.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t) #s(literal 1 binary64)) t) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) |
(* -1 (log (/ 1 t))) |
(log.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 a #s(literal 1/2 binary64)) (+.f64 (log.f64 (+.f64 y x)) (log.f64 z))) t) t (neg.f64 t)) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(fma.f64 (/.f64 (+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) t) t (neg.f64 t)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 a #s(literal 1/2 binary64))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(+.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) |
(* -1/2 (log t)) |
(*.f64 #s(literal -1/2 binary64) (log.f64 t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) |
(* a (log t)) |
(*.f64 (log.f64 t) a) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(*.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) a) (log.f64 t)) a) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t)) a) (log.f64 t)) a) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 (fma.f64 (/.f64 (log.f64 t) a) #s(literal -1/2 binary64) (log.f64 t)) a) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 44 |
| 0 | 24 | 41 |
| 1 | 102 | 41 |
| 2 | 808 | 40 |
| 0 | 8201 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(log.f64 (+.f64 x y)) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(log.f64 t) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x))))) (*.f64 t t)) (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) 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 (*.f64 z (+.f64 y x))) 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 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) (+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) 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 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (log.f64 t)) (-.f64 a #s(literal 1/2 binary64))) (*.f64 (neg.f64 (log.f64 t)) (-.f64 a #s(literal 1/2 binary64))))) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x)))) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (-.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (+.f64 y x))) (-.f64 (log.f64 z) t))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 (-.f64 a #s(literal 1/2 binary64)))) (log.f64 t)) (*.f64 (neg.f64 (neg.f64 (-.f64 a #s(literal 1/2 binary64)))) (log.f64 t)))) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (neg.f64 (neg.f64 (-.f64 a #s(literal 1/2 binary64)))) (log.f64 t)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) (-.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (neg.f64 (-.f64 a #s(literal 1/2 binary64))) (log.f64 t))) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (neg.f64 (-.f64 a #s(literal 1/2 binary64))) (log.f64 t))))) (-.f64 (log.f64 (+.f64 y x)) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (neg.f64 (-.f64 a #s(literal 1/2 binary64))) (log.f64 t))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))) (-.f64 (log.f64 (+.f64 y x)) (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) (fma.f64 t t (*.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z (+.f64 y x)))) t)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (fma.f64 (/.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (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 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (*.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) 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 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 t) (-.f64 (*.f64 a a) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (neg.f64 (*.f64 (log.f64 t) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a)) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (log.f64 t) (-.f64 (*.f64 a a) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) a)) |
(/.f64 (*.f64 (log.f64 t) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64)))) |
(-.f64 (log.f64 (pow.f64 t a)) (log.f64 (sqrt.f64 t))) |
(+.f64 (log.f64 (pow.f64 t (/.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 t (/.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 2 binary64))))) |
(log.f64 (pow.f64 t (-.f64 a #s(literal 1/2 binary64)))) |
(log.f64 t) |
Compiled 14 683 to 1 320 computations (91% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 278 | 19 | 297 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 279 | 19 | 298 |
| Status | Accuracy | Program |
|---|---|---|
| 77.9% | (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) | |
| 23.3% | (/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))) (*.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))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (*.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))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))))) | |
| 53.1% | (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) (*.f64 (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) (+.f64 #s(literal 1/2 binary64) a))) | |
| ▶ | 42.2% | (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
| 56.8% | (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) | |
| 33.7% | (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))))) | |
| 36.7% | (/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (*.f64 (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 y x))) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 y x))) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))) | |
| ▶ | 33.7% | (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)))) |
| 33.7% | (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))) | |
| 42.3% | (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))) (*.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))))) | |
| 77.9% | (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) | |
| 92.2% | (+.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 y x) z))) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 73.4% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) | |
| 59.6% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (* (- a 1/2) (log t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))) | |
| ▶ | 61.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) |
| ▶ | 99.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t))) |
| 89.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) t)) | |
| 40.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) | |
| ▶ | 39.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
Compiled 1 662 to 830 computations (50.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) | |
| cost-diff | 4 | (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) | |
| cost-diff | 20 | (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) | |
| cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) a) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) | |
| cost-diff | 0 | (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) | |
| cost-diff | 0 | (neg.f64 t) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) | |
| cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) a) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) | |
| cost-diff | 0 | (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t)) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 533 |
| 0 | 96 | 533 |
| 1 | 190 | 533 |
| 2 | 557 | 520 |
| 3 | 2351 | 504 |
| 0 | 8353 | 502 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t)) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) |
(+.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(log.f64 t) |
t |
(log.f64 z) |
z |
(-.f64 (log.f64 y) t) |
(log.f64 y) |
y |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) |
(+.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(log.f64 t) |
t |
(log.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(log.f64 z) |
z |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) |
(-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) |
(pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) |
(log.f64 (*.f64 z (+.f64 y x))) |
(*.f64 z (+.f64 y x)) |
z |
(+.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(*.f64 t t) |
t |
(+.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t))) |
(+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) |
(*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) |
(-.f64 (*.f64 a a) #s(literal 1/4 binary64)) |
(*.f64 a a) |
#s(literal 1/4 binary64) |
(log.f64 t) |
(*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) |
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) |
(log.f64 t) |
t |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64)) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) |
(log.f64 (*.f64 z (+.f64 y x))) |
(*.f64 z (+.f64 y x)) |
z |
(+.f64 y x) |
y |
x |
(fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))) |
(-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (-.f64 (log.f64 y) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t)) |
(+.f64 (-.f64 (log.f64 y) t) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 z)) |
(+.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(log.f64 t) |
t |
(log.f64 z) |
z |
(-.f64 (log.f64 y) t) |
(log.f64 y) |
y |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
(neg.f64 t) |
t |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) |
(+.f64 (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (log.f64 (+.f64 y x))) |
(+.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(log.f64 t) |
t |
(log.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(log.f64 z) |
z |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) |
(*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (fma.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) |
(-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) |
(fma.f64 (neg.f64 t) t (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64))) |
(pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) |
(pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) |
(log.f64 (*.f64 z (+.f64 y x))) |
(log.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
z |
(+.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(*.f64 t t) |
t |
(+.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t))) |
(*.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) |
(+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) |
(+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) |
(*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) |
(-.f64 (*.f64 a a) #s(literal 1/4 binary64)) |
(*.f64 a a) |
#s(literal 1/4 binary64) |
(log.f64 t) |
(*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (-.f64 a #s(literal -1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) |
(+.f64 (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3 binary64)) |
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(log.f64 t) |
t |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
#s(literal 3 binary64) |
(pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64)) |
(pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 3 binary64)) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) |
(-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) |
(log.f64 (*.f64 z (+.f64 y x))) |
(log.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
z |
(+.f64 y x) |
y |
x |
(fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))) |
(fma.f64 (-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 2 binary64))) |
(-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(-.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) |
(pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.44509516606351446 | (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) | |
| accuracy | 4.054307278030743 | (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) | |
| accuracy | 13.8195019153896 | (log.f64 (*.f64 z (+.f64 y x))) | |
| accuracy | 36.21729698160697 | (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)))) | |
| accuracy | 0.4928512695368841 | (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) | |
| accuracy | 4.66733411610105 | (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) | |
| accuracy | 13.8195019153896 | (log.f64 (*.f64 z (+.f64 y x))) | |
| accuracy | 29.350195202822718 | (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) | |
| accuracy | 0.0 | (log.f64 t) | |
| accuracy | 0.27105264512301375 | (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) | |
| accuracy | 0.3268038206944218 | (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) | |
| accuracy | 24.214786055976802 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) | |
| accuracy | 0.0 | (neg.f64 t) | |
| accuracy | 39.07090548819974 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) | |
| accuracy | 0.01171875 | (-.f64 (log.f64 y) t) | |
| accuracy | 0.05196287551631453 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t))) | |
| accuracy | 0.148113550779801 | (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t)) | |
| accuracy | 0.29452634254663357 | (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) |
| 198.0ms | 256× | 0 | valid |
Compiled 512 to 57 computations (88.9% saved)
ival-sub: 35.0ms (31% of total)ival-log: 20.0ms (17.7% of total)ival-mult: 19.0ms (16.8% of total)ival-add: 18.0ms (15.9% of total)ival-pow: 9.0ms (8% of total)ival-pow2: 6.0ms (5.3% of total)ival-div: 4.0ms (3.5% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t)) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) |
(+.f64 #s(literal -1/2 binary64) a) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
(neg.f64 t) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) |
(-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) |
(pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) |
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) |
(-.f64 (log.f64 y) t) |
(log.f64 t) |
(log.f64 (*.f64 z (+.f64 y x))) |
| Outputs |
|---|
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(+ (log y) (+ (log z) (* (log t) (- a 1/2)))) |
(+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) |
(+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) |
(+ (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))))) |
(+ (log y) (* (log t) (- a 1/2))) |
(+ (log y) (+ (* (log t) (- a 1/2)) (/ x y))) |
(+ (log y) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2)))) |
(+ (log y) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2)))) |
(/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (+ 1/2 a) (+ t (log (* y z))))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (+ (* x (- (+ (* -1 (/ (log (* y z)) (* (pow y 2) (+ t (log (* y z)))))) (+ (* -1/2 (/ (* (log t) (- (pow a 2) 1/4)) (* (pow y 2) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ 1 (* (pow y 2) (+ t (log (* y z))))))) (+ (* -1/2 (/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (pow y 2) (* (+ 1/2 a) (pow (+ t (log (* y z))) 2))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (* (+ 1/2 a) (+ t (log (* y z)))))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
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(+ (* 2 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* a (- (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))) |
(+ (* 2 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* a (- (+ (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* a (- (* 2 (log t)) (* 2 (- (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))) |
(+ (* 2 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* a (- (+ (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* a (- (+ (* -2 (* a (- (* 2 (log t)) (* 2 (- (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))))) (* 2 (log t))) (* 2 (- (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))) |
(+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) |
(+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2))) (* a (- (pow (log (* z (+ x y))) 2) (pow t 2))))) |
(+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2))) (* a (- (+ (* a (* (log t) (+ t (log (* z (+ x y)))))) (pow (log (* z (+ x y))) 2)) (pow t 2))))) |
(/ (+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3)) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2))) |
(+ (* -1/8 (/ (pow (log t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)))) (+ (* a (- (* 3/4 (/ (pow (log t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)))) (/ (* (log t) (* (+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3)) (- (+ t (* -1 (log t))) (log (* z (+ x y)))))) (pow (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) 2)))) (/ (pow (- (log (* z (+ x y))) t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2))))) |
(+ (* -1/8 (/ (pow (log t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)))) (+ (* a (- (+ (* 3/4 (/ (pow (log t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)))) (* a (- (* -3/2 (/ (pow (log t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)))) (+ (/ (* (log t) (* (- (* 3/4 (/ (pow (log t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)))) (/ (* (log t) (* (+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3)) (- (+ t (* -1 (log t))) (log (* z (+ x y)))))) (pow (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) 2))) (- (+ t (* -1 (log t))) (log (* z (+ x y)))))) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2))) (/ (* (pow (log t) 2) (+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3))) (pow (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) 2)))))) (/ (* (log t) (* (+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3)) (- (+ t (* -1 (log t))) (log (* z (+ x y)))))) (pow (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) 2)))) (/ (pow (- (log (* z (+ x y))) t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2))))) |
(+ (* -1/8 (/ (pow (log t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)))) (+ (* a (- (+ (* 3/4 (/ (pow (log t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)))) (* a (- (+ (* -3/2 (/ (pow (log t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)))) (* a (- (/ (pow (log t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2))) (+ (/ (* (log t) (* (- (* -3/2 (/ (pow (log t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)))) (+ (/ (* (log t) (* (- (* 3/4 (/ (pow (log t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)))) (/ (* (log t) (* (+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3)) (- (+ t (* -1 (log t))) (log (* z (+ x y)))))) (pow (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) 2))) (- (+ t (* -1 (log t))) (log (* z (+ x y)))))) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2))) (/ (* (pow (log t) 2) (+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3))) (pow (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) 2)))) (- (+ t (* -1 (log t))) (log (* z (+ x y)))))) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2))) (/ (* (pow (log t) 2) (- (* 3/4 (/ (pow (log t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)))) (/ (* (log t) (* (+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3)) (- (+ t (* -1 (log t))) (log (* z (+ x y)))))) (pow (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) 2)))) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2))))))) (+ (/ (* (log t) (* (- (* 3/4 (/ (pow (log t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)))) (/ (* (log t) (* (+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3)) (- (+ t (* -1 (log t))) (log (* z (+ x y)))))) (pow (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) 2))) (- (+ t (* -1 (log t))) (log (* z (+ x y)))))) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2))) (/ (* (pow (log t) 2) (+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3))) (pow (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) 2)))))) (/ (* (log t) (* (+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3)) (- (+ t (* -1 (log t))) (log (* z (+ x y)))))) (pow (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) 2)))) (/ (pow (- (log (* z (+ x y))) t) 3) (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2))))) |
(+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3)) |
(+ (* -1/8 (pow (log t) 3)) (+ (* 3/4 (* a (pow (log t) 3))) (pow (- (log (* z (+ x y))) t) 3))) |
(+ (* -1/8 (pow (log t) 3)) (+ (* a (+ (* -3/2 (* a (pow (log t) 3))) (* 3/4 (pow (log t) 3)))) (pow (- (log (* z (+ x y))) t) 3))) |
(+ (* -1/8 (pow (log t) 3)) (+ (* a (+ (* 3/4 (pow (log t) 3)) (* a (+ (* -3/2 (pow (log t) 3)) (* a (pow (log t) 3)))))) (pow (- (log (* z (+ x y))) t) 3))) |
(* -1/8 (pow (log t) 3)) |
(+ (* -1/8 (pow (log t) 3)) (* 3/4 (* a (pow (log t) 3)))) |
(+ (* -1/8 (pow (log t) 3)) (* a (+ (* -3/2 (* a (pow (log t) 3))) (* 3/4 (pow (log t) 3))))) |
(+ (* -1/8 (pow (log t) 3)) (* a (+ (* 3/4 (pow (log t) 3)) (* a (+ (* -3/2 (pow (log t) 3)) (* a (pow (log t) 3))))))) |
(* -1/2 (log t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log z) a)))) |
a |
(* a (- 1 (* 1/2 (/ 1 a)))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a))))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (+ x y)) a)))) |
(* a (- (+ (log t) (/ (pow (log (* z (+ x y))) 2) (* a (+ t (log (* z (+ x y))))))) (+ (* 1/2 (/ (log t) a)) (/ (pow t 2) (* a (+ t (log (* z (+ x y))))))))) |
(* a (- (+ (log t) (+ (* -1/4 (/ (log t) (pow a 2))) (+ (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (* (pow a 2) (+ t (log (* z (+ x y))))))) (/ (pow (log (* z (+ x y))) 2) (* a (+ t (log (* z (+ x y))))))))) (+ (* 1/2 (/ (log t) a)) (+ (* 1/2 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) (pow a 2))) (/ (pow t 2) (* a (+ t (log (* z (+ x y)))))))))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (- (+ (* -1/4 (log t)) (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y))))))) (* 1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) (pow a 3))) (+ (* -1/4 (/ (log t) (pow a 2))) (+ (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (* (pow a 2) (+ t (log (* z (+ x y))))))) (/ (pow (log (* z (+ x y))) 2) (* a (+ t (log (* z (+ x y)))))))))) (+ (* 1/2 (/ (log t) a)) (+ (* 1/2 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) (pow a 2))) (/ (pow t 2) (* a (+ t (log (* z (+ x y)))))))))) |
(* (pow a 2) (* (log t) (+ t (log (* z (+ x y)))))) |
(* (pow a 2) (- (+ (* (log t) (+ t (log (* z (+ x y))))) (/ (pow (log (* z (+ x y))) 2) a)) (/ (pow t 2) a))) |
(* (pow a 2) (- (+ (* -1/4 (/ (* (log t) (+ t (log (* z (+ x y))))) (pow a 2))) (+ (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (pow a 2))) (+ (* (log t) (+ t (log (* z (+ x y))))) (/ (pow (log (* z (+ x y))) 2) a)))) (/ (pow t 2) a))) |
(* a (- (+ (log t) (+ (* -3/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (+ (* -1 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* -3/2 (/ (log t) a)) (+ (* 3/4 (/ (log t) (pow a 2))) (/ (log (* z (+ x y))) a)))) (+ (* -1 (/ (log t) a)) (+ (* -1/2 (/ (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))) (pow a 2))) (+ (/ t a) (+ (/ (* (- (+ t (* -1 (log t))) (log (* z (+ x y)))) (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t))))) (* (pow a 2) (log t))) (/ (pow (- (log (* z (+ x y))) t) 2) (* (pow a 2) (log t))))))))) |
(* a (- (+ (log t) (+ (* -3/2 (/ (log t) a)) (+ (* -1/8 (/ (log t) (pow a 3))) (+ (* 3/4 (/ (log t) (pow a 2))) (+ (/ (log (* z (+ x y))) a) (/ (pow (- (log (* z (+ x y))) t) 3) (* (pow a 3) (pow (log t) 2)))))))) (+ (* -1 (/ (log t) a)) (+ (* -1/2 (/ (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))) (pow a 2))) (+ (/ t a) (+ (/ (* (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t))))) (* (pow a 3) (pow (log t) 2))) (+ (/ (* (- (* 3/4 (log t)) (+ (* -1/2 (- (+ t (* -1/2 (log t))) (log (* z (+ x y))))) (+ (/ (* (- (+ t (* -1 (log t))) (log (* z (+ x y)))) (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t))))) (log t)) (/ (pow (- (log (* z (+ x y))) t) 2) (log t))))) (- (+ t (* -1 (log t))) (log (* z (+ x y))))) (* (pow a 3) (log t))) (+ (/ (* (- (+ t (* -1 (log t))) (log (* z (+ x y)))) (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t))))) (* (pow a 2) (log t))) (/ (pow (- (log (* z (+ x y))) t) 2) (* (pow a 2) (log t))))))))))) |
(* (pow a 3) (pow (log t) 3)) |
(* (pow a 3) (+ (* -3/2 (/ (pow (log t) 3) a)) (pow (log t) 3))) |
(* (pow a 3) (+ (* -3/2 (/ (pow (log t) 3) a)) (+ (* 3/4 (/ (pow (log t) 3) (pow a 2))) (pow (log t) 3)))) |
(* (pow a 3) (+ (* -3/2 (/ (pow (log t) 3) a)) (+ (* -1/8 (/ (pow (log t) 3) (pow a 3))) (+ (* 3/4 (/ (pow (log t) 3) (pow a 2))) (+ (/ (pow (- (log (* z (+ x y))) t) 3) (pow a 3)) (pow (log t) 3)))))) |
(* (pow a 3) (+ (* -3/2 (/ (pow (log t) 3) a)) (+ (* -1/8 (/ (pow (log t) 3) (pow a 3))) (+ (* 3/4 (/ (pow (log t) 3) (pow a 2))) (pow (log t) 3))))) |
(* a (+ (log t) (* -1/2 (/ (log 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 y) (+ (log z) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log z) (* -1/2 (log t))) a))))) |
(* -1 (* a (- (* 1/2 (/ 1 a)) 1))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (* -1/2 (log t))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a)) (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (/ (- (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a)) (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (- (pow (log (* z (+ x y))) 2) (pow t 2))) (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) a))) a)) (* (log t) (+ t (log (* z (+ x y))))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t)))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (+ (* -3/2 (log t)) (* -1 (/ (- (* -3/4 (log t)) (+ (* -1 (/ (* (- (+ t (* -1 (log t))) (log (* z (+ x y)))) (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t))))) (log t))) (* -1 (/ (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) (log t))))) a)))) (+ t (* -1 (log t)))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (+ (* -3/2 (log t)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (log t)) (/ (pow (- (log (* z (+ x y))) t) 3) (pow (log t) 2))) (+ (* -1 (/ (* (- (* -3/4 (log t)) (+ (* -1 (/ (* (- (+ t (* -1 (log t))) (log (* z (+ x y)))) (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t))))) (log t))) (* -1 (/ (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) (log t))))) (- (+ t (* -1 (log t))) (log (* z (+ x y))))) (log t))) (/ (* (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t))))) (pow (log t) 2)))) a)) (* -3/4 (log t))) (+ (* -1 (/ (* (- (+ t (* -1 (log t))) (log (* z (+ x y)))) (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t))))) (log t))) (* -1 (/ (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) (log t))))) a)))) (+ t (* -1 (log t)))) a))))) |
(* -1 (* (pow a 3) (+ (* -1 (pow (log t) 3)) (* 3/2 (/ (pow (log t) 3) a))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (pow (log t) 3)) (* 3/4 (/ (pow (log t) 3) a))) a)) (* -1 (pow (log t) 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (pow (log t) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3)) a)) (* -3/4 (pow (log t) 3))) a))) a)) (* -1 (pow (log t) 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (pow (log t) 3)) (* -1 (/ (+ (* -3/4 (pow (log t) 3)) (* 1/8 (/ (pow (log t) 3) a))) a))) a)) (* -1 (pow (log t) 3))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 128.0ms | t | @ | 0 | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (+ (* (+ -1/2 a) (log t)) (log z)) (+ -1/2 a) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (- (pow (log (* z (+ y x))) 2) (* t t)) (pow (log (* z (+ y x))) 2) (/ (+ (pow (* (log t) (- a 1/2)) 3) (pow (- (log (* z (+ y x))) t) 3)) (+ (* (* (log t) (- a 1/2)) (- (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (pow (- (log (* z (+ y x))) t) 2))) (+ (pow (* (log t) (- a 1/2)) 3) (pow (- (log (* z (+ y x))) t) 3)) (pow (* (log t) (- a 1/2)) 3) (* (log t) (- a 1/2)) (- (log y) t) (log t) (log (* z (+ y x)))) |
| 82.0ms | z | @ | -inf | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (+ (* (+ -1/2 a) (log t)) (log z)) (+ -1/2 a) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (- (pow (log (* z (+ y x))) 2) (* t t)) (pow (log (* z (+ y x))) 2) (/ (+ (pow (* (log t) (- a 1/2)) 3) (pow (- (log (* z (+ y x))) t) 3)) (+ (* (* (log t) (- a 1/2)) (- (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (pow (- (log (* z (+ y x))) t) 2))) (+ (pow (* (log t) (- a 1/2)) 3) (pow (- (log (* z (+ y x))) t) 3)) (pow (* (log t) (- a 1/2)) 3) (* (log t) (- a 1/2)) (- (log y) t) (log t) (log (* z (+ y x)))) |
| 78.0ms | y | @ | -inf | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (+ (* (+ -1/2 a) (log t)) (log z)) (+ -1/2 a) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (- (pow (log (* z (+ y x))) 2) (* t t)) (pow (log (* z (+ y x))) 2) (/ (+ (pow (* (log t) (- a 1/2)) 3) (pow (- (log (* z (+ y x))) t) 3)) (+ (* (* (log t) (- a 1/2)) (- (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (pow (- (log (* z (+ y x))) t) 2))) (+ (pow (* (log t) (- a 1/2)) 3) (pow (- (log (* z (+ y x))) t) 3)) (pow (* (log t) (- a 1/2)) 3) (* (log t) (- a 1/2)) (- (log y) t) (log t) (log (* z (+ y x)))) |
| 76.0ms | z | @ | 0 | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (+ (* (+ -1/2 a) (log t)) (log z)) (+ -1/2 a) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (- (pow (log (* z (+ y x))) 2) (* t t)) (pow (log (* z (+ y x))) 2) (/ (+ (pow (* (log t) (- a 1/2)) 3) (pow (- (log (* z (+ y x))) t) 3)) (+ (* (* (log t) (- a 1/2)) (- (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (pow (- (log (* z (+ y x))) t) 2))) (+ (pow (* (log t) (- a 1/2)) 3) (pow (- (log (* z (+ y x))) t) 3)) (pow (* (log t) (- a 1/2)) 3) (* (log t) (- a 1/2)) (- (log y) t) (log t) (log (* z (+ y x)))) |
| 65.0ms | x | @ | -inf | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (+ (* (+ -1/2 a) (log t)) (log z)) (+ -1/2 a) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (- (pow (log (* z (+ y x))) 2) (* t t)) (pow (log (* z (+ y x))) 2) (/ (+ (pow (* (log t) (- a 1/2)) 3) (pow (- (log (* z (+ y x))) t) 3)) (+ (* (* (log t) (- a 1/2)) (- (* (log t) (- a 1/2)) (- (log (* z (+ y x))) t))) (pow (- (log (* z (+ y x))) t) 2))) (+ (pow (* (log t) (- a 1/2)) 3) (pow (- (log (* z (+ y x))) t) 3)) (pow (* (log t) (- a 1/2)) 3) (* (log t) (- a 1/2)) (- (log y) t) (log t) (log (* z (+ y x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2843 | 43979 |
| 0 | 8177 | 42685 |
| 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 y) (+ (log z) (* (log t) (- a 1/2)))) |
(+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) |
(+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) |
(+ (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))))) |
(+ (log y) (* (log t) (- a 1/2))) |
(+ (log y) (+ (* (log t) (- a 1/2)) (/ x y))) |
(+ (log y) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2)))) |
(+ (log y) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2)))) |
(/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (+ 1/2 a) (+ t (log (* y z))))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
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(+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) |
(+ (* x (+ (* 2 (/ (* (log (* y z)) (+ 1/2 a)) y)) (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))))) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) |
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(+ (* x (+ (* 2 (/ (* (log (* y z)) (+ 1/2 a)) y)) (+ (* x (+ (* -1/2 (/ (* (log t) (- (pow a 2) 1/4)) (pow y 2))) (+ (* x (+ (* 1/3 (/ (* (log t) (- (pow a 2) 1/4)) (pow y 3))) (* (+ 1/2 a) (- (* 2/3 (/ (log (* y z)) (pow y 3))) (/ 1 (pow y 3)))))) (* (+ 1/2 a) (+ (* -1 (/ (log (* y z)) (pow y 2))) (/ 1 (pow y 2))))))) (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y))))))) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) |
(- (pow (log (* y z)) 2) (pow t 2)) |
(- (+ (* 2 (/ (* x (log (* y z))) y)) (pow (log (* y z)) 2)) (pow t 2)) |
(- (+ (* x (+ (* 2 (/ (log (* y z)) y)) (* x (+ (* -1 (/ (log (* y z)) (pow y 2))) (/ 1 (pow y 2)))))) (pow (log (* y z)) 2)) (pow t 2)) |
(- (+ (* x (+ (* 2 (/ (log (* y z)) y)) (* x (+ (* -1 (/ (log (* y z)) (pow y 2))) (+ (* x (- (* 2/3 (/ (log (* y z)) (pow y 3))) (/ 1 (pow y 3)))) (/ 1 (pow y 2))))))) (pow (log (* y z)) 2)) (pow t 2)) |
(pow (log (* y z)) 2) |
(+ (* 2 (/ (* x (log (* y z))) y)) (pow (log (* y z)) 2)) |
(+ (* x (+ (* 2 (/ (log (* y z)) y)) (* x (+ (* -1 (/ (log (* y z)) (pow y 2))) (/ 1 (pow y 2)))))) (pow (log (* y z)) 2)) |
(+ (* x (+ (* 2 (/ (log (* y z)) y)) (* x (+ (* -1 (/ (log (* y z)) (pow y 2))) (+ (* x (- (* 2/3 (/ (log (* y z)) (pow y 3))) (/ 1 (pow y 3)))) (/ 1 (pow y 2))))))) (pow (log (* y z)) 2)) |
(/ (+ (* (pow (log t) 3) (pow (- a 1/2) 3)) (pow (- (log (* y z)) t) 3)) (+ (* (log t) (* (- a 1/2) (- (+ t (* (log t) (- a 1/2))) (log (* y z))))) (pow (- (log (* y z)) t) 2))) |
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(* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 3) (pow (- a 1/2) 3)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(* -1 (* t (+ 1 (* -1 (/ (log y) t))))) |
(+ (log -1) (* -1 (log (/ -1 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 y) (+ (log z) (* -1/2 (log t)))) t) |
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(+ (log z) (* -1/2 (log t))) |
(+ (log z) (+ (* -1/2 (log t)) (* a (log t)))) |
-1/2 |
(- a 1/2) |
(+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) |
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(+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3)) |
(+ (* -1/8 (pow (log t) 3)) (+ (* 3/4 (* a (pow (log t) 3))) (pow (- (log (* z (+ x y))) t) 3))) |
(+ (* -1/8 (pow (log t) 3)) (+ (* a (+ (* -3/2 (* a (pow (log t) 3))) (* 3/4 (pow (log t) 3)))) (pow (- (log (* z (+ x y))) t) 3))) |
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(* -1/8 (pow (log t) 3)) |
(+ (* -1/8 (pow (log t) 3)) (* 3/4 (* a (pow (log t) 3)))) |
(+ (* -1/8 (pow (log t) 3)) (* a (+ (* -3/2 (* a (pow (log t) 3))) (* 3/4 (pow (log t) 3))))) |
(+ (* -1/8 (pow (log t) 3)) (* a (+ (* 3/4 (pow (log t) 3)) (* a (+ (* -3/2 (pow (log t) 3)) (* a (pow (log t) 3))))))) |
(* -1/2 (log t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log z) a)))) |
a |
(* a (- 1 (* 1/2 (/ 1 a)))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a))))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (+ x y)) a)))) |
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(* (pow a 2) (* (log t) (+ t (log (* z (+ x y)))))) |
(* (pow a 2) (- (+ (* (log t) (+ t (log (* z (+ x y))))) (/ (pow (log (* z (+ x y))) 2) a)) (/ (pow t 2) a))) |
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(* a (- (+ (log t) (+ (* -3/2 (/ (log t) a)) (/ (log (* z (+ x y))) a))) (+ (* -1 (/ (log t) a)) (/ t a)))) |
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(* a (- (+ (log t) (+ (* -3/2 (/ (log t) a)) (+ (* -1/8 (/ (log t) (pow a 3))) (+ (* 3/4 (/ (log t) (pow a 2))) (+ (/ (log (* z (+ x y))) a) (/ (pow (- (log (* z (+ x y))) t) 3) (* (pow a 3) (pow (log t) 2)))))))) (+ (* -1 (/ (log t) a)) (+ (* -1/2 (/ (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))) (pow a 2))) (+ (/ t a) (+ (/ (* (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t))))) (* (pow a 3) (pow (log t) 2))) (+ (/ (* (- (* 3/4 (log t)) (+ (* -1/2 (- (+ t (* -1/2 (log t))) (log (* z (+ x y))))) (+ (/ (* (- (+ t (* -1 (log t))) (log (* z (+ x y)))) (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t))))) (log t)) (/ (pow (- (log (* z (+ x y))) t) 2) (log t))))) (- (+ t (* -1 (log t))) (log (* z (+ x y))))) (* (pow a 3) (log t))) (+ (/ (* (- (+ t (* -1 (log t))) (log (* z (+ x y)))) (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t))))) (* (pow a 2) (log t))) (/ (pow (- (log (* z (+ x y))) t) 2) (* (pow a 2) (log t))))))))))) |
(* (pow a 3) (pow (log t) 3)) |
(* (pow a 3) (+ (* -3/2 (/ (pow (log t) 3) a)) (pow (log t) 3))) |
(* (pow a 3) (+ (* -3/2 (/ (pow (log t) 3) a)) (+ (* 3/4 (/ (pow (log t) 3) (pow a 2))) (pow (log t) 3)))) |
(* (pow a 3) (+ (* -3/2 (/ (pow (log t) 3) a)) (+ (* -1/8 (/ (pow (log t) 3) (pow a 3))) (+ (* 3/4 (/ (pow (log t) 3) (pow a 2))) (+ (/ (pow (- (log (* z (+ x y))) t) 3) (pow a 3)) (pow (log t) 3)))))) |
(* (pow a 3) (+ (* -3/2 (/ (pow (log t) 3) a)) (+ (* -1/8 (/ (pow (log t) 3) (pow a 3))) (+ (* 3/4 (/ (pow (log t) 3) (pow a 2))) (pow (log t) 3))))) |
(* a (+ (log t) (* -1/2 (/ (log 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 y) (+ (log z) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log z) (* -1/2 (log t))) a))))) |
(* -1 (* a (- (* 1/2 (/ 1 a)) 1))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (* -1/2 (log t))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a)) (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (/ (- (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a)) (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (- (pow (log (* z (+ x y))) 2) (pow t 2))) (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) a))) a)) (* (log t) (+ t (log (* z (+ x y))))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t)))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (+ (* -3/2 (log t)) (* -1 (/ (- (* -3/4 (log t)) (+ (* -1 (/ (* (- (+ t (* -1 (log t))) (log (* z (+ x y)))) (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t))))) (log t))) (* -1 (/ (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) (log t))))) a)))) (+ t (* -1 (log t)))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* z (+ x y))) (+ (* -3/2 (log t)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (log t)) (/ (pow (- (log (* z (+ x y))) t) 3) (pow (log t) 2))) (+ (* -1 (/ (* (- (* -3/4 (log t)) (+ (* -1 (/ (* (- (+ t (* -1 (log t))) (log (* z (+ x y)))) (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t))))) (log t))) (* -1 (/ (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) (log t))))) (- (+ t (* -1 (log t))) (log (* z (+ x y))))) (log t))) (/ (* (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t))))) (pow (log t) 2)))) a)) (* -3/4 (log t))) (+ (* -1 (/ (* (- (+ t (* -1 (log t))) (log (* z (+ x y)))) (- (+ (log (* z (+ x y))) (* -3/2 (log t))) (+ t (* -1 (log t))))) (log t))) (* -1 (/ (+ (* -1/2 (* (log t) (- (+ t (* -1/2 (log t))) (log (* z (+ x y)))))) (pow (- (log (* z (+ x y))) t) 2)) (log t))))) a)))) (+ t (* -1 (log t)))) a))))) |
(* -1 (* (pow a 3) (+ (* -1 (pow (log t) 3)) (* 3/2 (/ (pow (log t) 3) a))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (pow (log t) 3)) (* 3/4 (/ (pow (log t) 3) a))) a)) (* -1 (pow (log t) 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (pow (log t) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3)) a)) (* -3/4 (pow (log t) 3))) a))) a)) (* -1 (pow (log t) 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (pow (log t) 3)) (* -1 (/ (+ (* -3/4 (pow (log t) 3)) (* 1/8 (/ (pow (log t) 3) a))) a))) a)) (* -1 (pow (log t) 3))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
| Outputs |
|---|
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(-.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) t) |
(- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(-.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (/.f64 x y)))) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(-.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 z) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(-.f64 (+.f64 (+.f64 (log.f64 y) (log.f64 z)) (fma.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) t) |
(+ (log y) (+ (log z) (* (log t) (- a 1/2)))) |
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) |
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (/.f64 x y)))) |
(+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) |
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))) |
(+ (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))))) |
(+.f64 (+.f64 (log.f64 y) (log.f64 z)) (fma.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(+ (log y) (* (log t) (- a 1/2))) |
(+.f64 (log.f64 y) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) |
(+ (log y) (+ (* (log t) (- a 1/2)) (/ x y))) |
(+.f64 (log.f64 y) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (/.f64 x y))) |
(+ (log y) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2)))) |
(+.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)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(+ (log y) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2)))) |
(+.f64 (log.f64 y) (fma.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (+ 1/2 a) (+ t (log (* y z))))) |
(/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 t (log.f64 (*.f64 y z)))) (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (log.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 t t)))) (*.f64 (+.f64 #s(literal 1/2 binary64) a) (+.f64 t (log.f64 (*.f64 y z))))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
(fma.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log.f64 (*.f64 y z)) y) (+.f64 t (log.f64 (*.f64 y z)))) (/.f64 (/.f64 (*.f64 (log.f64 t) (-.f64 (/.f64 (*.f64 a a) y) (/.f64 #s(literal 1/4 binary64) y))) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 t (log.f64 (*.f64 y z))))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 a y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 t (log.f64 (*.f64 y z)))) (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (log.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 t t)))) (pow.f64 (+.f64 t (log.f64 (*.f64 y z))) #s(literal 2 binary64))))) (fma.f64 (log.f64 t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 t (log.f64 (*.f64 y z)))))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (+ (* x (- (+ (* -1 (/ (log (* y z)) (* (pow y 2) (+ t (log (* y z)))))) (+ (* -1/2 (/ (* (log t) (- (pow a 2) 1/4)) (* (pow y 2) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ 1 (* (pow y 2) (+ t (log (* y z))))))) (+ (* -1/2 (/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (pow y 2) (* (+ 1/2 a) (pow (+ t (log (* y z))) 2))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (* (+ 1/2 a) (+ t (log (* y z)))))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log.f64 (*.f64 y z)) y) (+.f64 t (log.f64 (*.f64 y z)))) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 (*.f64 y z)) (*.f64 y y)) (+.f64 t (log.f64 (*.f64 y z)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 t (log.f64 (*.f64 y z))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 t (log.f64 (*.f64 y z)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 t (log.f64 (*.f64 y z)))) (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (log.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 t t)))) (*.f64 (*.f64 (*.f64 y y) (+.f64 #s(literal 1/2 binary64) a)) (pow.f64 (+.f64 t (log.f64 (*.f64 y z))) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 a y)) (+.f64 #s(literal 1/2 binary64) a)) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log.f64 (*.f64 y z)) y) (+.f64 t (log.f64 (*.f64 y z)))) (/.f64 (/.f64 (*.f64 (log.f64 t) (-.f64 (/.f64 (*.f64 a a) y) (/.f64 #s(literal 1/4 binary64) y))) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 t (log.f64 (*.f64 y z))))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 a y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 t (log.f64 (*.f64 y z)))) (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (log.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 t t)))) (pow.f64 (+.f64 t (log.f64 (*.f64 y z))) #s(literal 2 binary64))))) (+.f64 t (log.f64 (*.f64 y z))))))) (/.f64 (/.f64 (*.f64 (log.f64 t) (-.f64 (/.f64 (*.f64 a a) y) (/.f64 #s(literal 1/4 binary64) y))) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 t (log.f64 (*.f64 y z))))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 a y)) (pow.f64 (+.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 t (log.f64 (*.f64 y z)))) (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (log.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 t t)))) (pow.f64 (+.f64 t (log.f64 (*.f64 y z))) #s(literal 2 binary64)))))) (fma.f64 (log.f64 t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 t (log.f64 (*.f64 y z)))))) |
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(neg.f64 (*.f64 a (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 t) (/.f64 (-.f64 (+.f64 (log.f64 (*.f64 z (+.f64 x y))) (fma.f64 #s(literal -3/2 binary64) (log.f64 t) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) (log.f64 t) (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) t) #s(literal 3 binary64)) (pow.f64 (log.f64 t) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 t)) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (+.f64 t (neg.f64 (log.f64 t))) (log.f64 (*.f64 z (+.f64 x y)))) (/.f64 (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 #s(literal 3/2 binary64) (log.f64 t))) (+.f64 t (neg.f64 (log.f64 t)))) (log.f64 t)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) (-.f64 (+.f64 t (*.f64 #s(literal -1/2 binary64) (log.f64 t))) (log.f64 (*.f64 z (+.f64 x y)))) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) t) #s(literal 2 binary64))) (log.f64 t))))) (/.f64 (-.f64 (+.f64 t (neg.f64 (log.f64 t))) (log.f64 (*.f64 z (+.f64 x y)))) (log.f64 t))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) (-.f64 (+.f64 t (*.f64 #s(literal -1/2 binary64) (log.f64 t))) (log.f64 (*.f64 z (+.f64 x y)))) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) t) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 #s(literal 3/2 binary64) (log.f64 t))) (+.f64 t (neg.f64 (log.f64 t)))) (pow.f64 (log.f64 t) #s(literal 2 binary64)))))) a) (-.f64 (*.f64 #s(literal -3/4 binary64) (log.f64 t)) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (+.f64 t (neg.f64 (log.f64 t))) (log.f64 (*.f64 z (+.f64 x y)))) (/.f64 (-.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 #s(literal 3/2 binary64) (log.f64 t))) (+.f64 t (neg.f64 (log.f64 t)))) (log.f64 t)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) (-.f64 (+.f64 t (*.f64 #s(literal -1/2 binary64) (log.f64 t))) (log.f64 (*.f64 z (+.f64 x y)))) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) t) #s(literal 2 binary64))) (log.f64 t)))))) a)))) (+.f64 t (neg.f64 (log.f64 t)))) a))))) |
(* -1 (* (pow a 3) (+ (* -1 (pow (log t) 3)) (* 3/2 (/ (pow (log t) 3) a))))) |
(neg.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) a))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (pow (log t) 3)) (* 3/4 (/ (pow (log t) 3) a))) a)) (* -1 (pow (log t) 3))))) |
(neg.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) a))) a) (neg.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (pow (log t) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (log t) 3)) (pow (- (log (* z (+ x y))) t) 3)) a)) (* -3/4 (pow (log t) 3))) a))) a)) (* -1 (pow (log t) 3))))) |
(neg.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 #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 x y))) t) #s(literal 3 binary64))) a) (*.f64 #s(literal -3/4 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)))) a))) a) (neg.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -3/2 (pow (log t) 3)) (* -1 (/ (+ (* -3/4 (pow (log t) 3)) (* 1/8 (/ (pow (log t) 3) a))) a))) a)) (* -1 (pow (log t) 3))))) |
(neg.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -3/4 binary64) (pow.f64 (log.f64 t) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) a))) a))) a) (neg.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal -1 binary64) (log.f64 t) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) a))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 324 |
| 0 | 96 | 321 |
| 1 | 475 | 277 |
| 2 | 3881 | 271 |
| 0 | 8085 | 270 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t)) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) |
(+.f64 #s(literal -1/2 binary64) a) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
(neg.f64 t) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) |
(-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) |
(pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) |
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) |
(-.f64 (log.f64 y) t) |
(log.f64 t) |
(log.f64 (*.f64 z (+.f64 y x))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (log.f64 (*.f64 y (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z))) t)) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 y (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (log.f64 (*.f64 y (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z))) t)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 2 binary64))) (-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) (-.f64 (log.f64 (*.f64 z y)) t))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 y) t) #s(literal 2 binary64)) (pow.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 z)) #s(literal 2 binary64))) (-.f64 (-.f64 (log.f64 y) t) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 z)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 y (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 y (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z))) #s(literal 2 binary64)) (fma.f64 t t (*.f64 (log.f64 (*.f64 y (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z))) t)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) (-.f64 (log.f64 (*.f64 z y)) t))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 z)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 y) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 (/.f64 (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z) y)) t))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (log.f64 y) t) #s(literal 3 binary64)) (pow.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (log.f64 y) t) (-.f64 (-.f64 (log.f64 y) t) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 z))) (pow.f64 (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 z)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 t t)) (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)) (*.f64 (+.f64 (log.f64 y) t) (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))))) (*.f64 (+.f64 (log.f64 y) t) (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 t t)) (fma.f64 (log.f64 z) (log.f64 (/.f64 z (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)))) (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 y) t) (+.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))))) (*.f64 (+.f64 (log.f64 y) t) (fma.f64 (log.f64 z) (log.f64 (/.f64 z (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)))) (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)) (*.f64 (fma.f64 t (+.f64 (log.f64 y) t) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))))) (*.f64 (fma.f64 t (+.f64 (log.f64 y) t) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (log.f64 z) (log.f64 (/.f64 z (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)))) (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64))) (*.f64 (fma.f64 t (+.f64 (log.f64 y) t) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))))) (*.f64 (fma.f64 t (+.f64 (log.f64 y) t) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (fma.f64 (log.f64 z) (log.f64 (/.f64 z (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)))) (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (+.f64 (log.f64 y) t) (*.f64 (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 t t)))) (*.f64 (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)) (+.f64 (log.f64 y) t))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (fma.f64 t (+.f64 (log.f64 y) t) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)) (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)) (fma.f64 t (+.f64 (log.f64 y) t) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (log.f64 y) t) (*.f64 (fma.f64 (log.f64 z) (log.f64 (/.f64 z (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)))) (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 t t)))) (*.f64 (fma.f64 (log.f64 z) (log.f64 (/.f64 z (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)))) (pow.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)) #s(literal 2 binary64))) (+.f64 (log.f64 y) t))) |
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(+.f64 (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3 binary64))) |
(+.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) #s(literal 3 binary64))) |
(*.f64 (*.f64 (exp.f64 (log.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))) (exp.f64 (log.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))) (exp.f64 (log.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (log.f64 t) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (log.f64 t)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (-.f64 a #s(literal 1/2 binary64))) (log.f64 t)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (neg.f64 (-.f64 a #s(literal 1/2 binary64))) (log.f64 t)) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 2 binary64)) (-.f64 a #s(literal 1/2 binary64))) (log.f64 t)) |
(*.f64 (*.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 2 binary64)) (log.f64 t)) (-.f64 a #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (log.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (log.f64 t) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 2 binary64)) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 t) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 2 binary64))) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (*.f64 (log.f64 t) (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 2 binary64)))) |
(*.f64 (log.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))) |
(pow.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3 binary64)) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 3/2 binary64) (*.f64 (log.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64) (*.f64 (log.f64 (log.f64 t)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (log.f64 t)) #s(literal 3 binary64) (*.f64 (log.f64 (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3 binary64))))) |
(log.f64 (pow.f64 t (*.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 2 binary64)) (-.f64 a #s(literal 1/2 binary64))))) |
(log.f64 (exp.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) #s(literal 3 binary64)))) |
(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
(*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64)) (log.f64 t)) (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (log.f64 t) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 a a (fma.f64 #s(literal 1/2 binary64) a #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a)) |
(-.f64 (*.f64 a (log.f64 t)) (log.f64 (sqrt.f64 t))) |
(+.f64 (log.f64 (pow.f64 t (/.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 t (/.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal 2 binary64))))) |
(log.f64 (pow.f64 t (-.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 t t))) (neg.f64 (+.f64 (log.f64 y) t))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t (+.f64 (log.f64 y) t) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (log.f64 y) t)) |
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (+.f64 (log.f64 y) t) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (log.f64 y) t)) (/.f64 (*.f64 t t) (+.f64 (log.f64 y) t))) |
(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (fma.f64 t (+.f64 (log.f64 y) t) (pow.f64 (log.f64 y) #s(literal 2 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (+.f64 (log.f64 y) t) (pow.f64 (log.f64 y) #s(literal 2 binary64))))) |
(-.f64 (log.f64 y) t) |
(log.f64 t) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 y x) z))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 y x) z))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 y x) z))) (sqrt.f64 (log.f64 (*.f64 (+.f64 y x) z)))) |
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 y x) z))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (log.f64 (*.f64 (+.f64 y x) z)))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (log.f64 (*.f64 (+.f64 y x) z)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (log.f64 (/.f64 z (+.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 (+.f64 y x) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.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 (log.f64 z) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 y x) z))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (fma.f64 (log.f64 z) (log.f64 z) (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 y x)) (log.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 y x))) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) z)) (log.f64 (-.f64 x y))) |
(-.f64 (log.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z)) (log.f64 (-.f64 y x))) |
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z)) (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z)) (log.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(-.f64 (log.f64 (*.f64 z (*.f64 (+.f64 y x) (-.f64 x y)))) (log.f64 (-.f64 x y))) |
(-.f64 (log.f64 (*.f64 z (*.f64 (+.f64 y x) (-.f64 y x)))) (log.f64 (-.f64 y x))) |
(-.f64 (log.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(-.f64 (log.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (log.f64 (-.f64 (*.f64 z y) (*.f64 z x)))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 z x)))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 y x) z))) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 y x) z)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (*.f64 (+.f64 y x) z))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (+.f64 y x) z))) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (log.f64 (*.f64 (+.f64 y x) z))) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 (log.f64 (*.f64 (+.f64 y x) z))) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 y x))) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 y x))) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))))) |
(+.f64 (log.f64 (+.f64 y x)) (log.f64 z)) |
(+.f64 (log.f64 z) (log.f64 (+.f64 y x))) |
(log.f64 (*.f64 (+.f64 y x) z)) |
Compiled 107 587 to 6 122 computations (94.3% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 199 | 11 | 1 210 |
| Fresh | 11 | 3 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 214 | 15 | 1 229 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (fma.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) (/.f64 (log.f64 t) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) a) (+.f64 #s(literal 1/2 binary64) a)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))) | |
| 14.1% | (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) | |
| 73.4% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) | |
| 58.6% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+.f64 (+.f64 (log.f64 (*.f64 z (+.f64 x y))) (neg.f64 t)) (/.f64 (*.f64 (log.f64 t) (-.f64 (*.f64 a a) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) a)))) | |
| ▶ | 57.1% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
| ▶ | 77.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
| 61.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) | |
| 77.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)))) | |
| ▶ | 99.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)))) |
| ▶ | 89.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) t)) |
| ▶ | 40.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
| ✓ | 39.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
| 18.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) | |
| 23.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) (+.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 #s(literal -1/2 binary64) (log.f64 t))))) | |
| 89.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)))))) |
Compiled 1 175 to 815 computations (30.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) | |
| cost-diff | 0 | (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) t) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) t)) | |
| cost-diff | 0 | (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)) | |
| cost-diff | 0 | (*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) | |
| cost-diff | 2 | (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) | |
| cost-diff | 0 | (log.f64 t) | |
| cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) a) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t)) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) | |
| cost-diff | 0 | (log.f64 t) | |
| cost-diff | 0 | (*.f64 (log.f64 t) a) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) | |
| cost-diff | 0 | (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)) | |
| cost-diff | 0 | (log.f64 z) | |
| cost-diff | 0 | (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t))) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 548 |
| 0 | 113 | 548 |
| 1 | 230 | 538 |
| 2 | 612 | 524 |
| 3 | 2086 | 516 |
| 0 | 8315 | 515 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)))) |
(+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t))) |
(log.f64 z) |
z |
(fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)) |
(log.f64 t) |
t |
(+.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(-.f64 (log.f64 y) t) |
(log.f64 y) |
y |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
(*.f64 (log.f64 t) a) |
(log.f64 t) |
t |
a |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t)) |
(+.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(log.f64 t) |
t |
(-.f64 (log.f64 (*.f64 z y)) t) |
(log.f64 (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
(*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t))) |
t |
(-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)) |
(-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) |
(*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (neg.f64 (log.f64 t)) t) |
(neg.f64 (log.f64 t)) |
(log.f64 t) |
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) |
(-.f64 (*.f64 a a) #s(literal 1/4 binary64)) |
(*.f64 a a) |
a |
#s(literal 1/4 binary64) |
(+.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t) |
(neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) |
(log.f64 (*.f64 z (+.f64 x y))) |
(*.f64 z (+.f64 x y)) |
z |
(+.f64 x y) |
x |
y |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) t)) |
(*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) t) |
(-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) |
(/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) |
(+.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(log.f64 t) |
t |
(log.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(log.f64 z) |
z |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) (log.f64 z))) |
(+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) (log.f64 z)) |
(log.f64 z) |
z |
(fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) |
(log.f64 t) |
t |
(+.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(-.f64 (log.f64 y) t) |
(log.f64 y) |
y |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
(*.f64 (log.f64 t) a) |
(log.f64 t) |
t |
a |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 z y))) t)) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t)) |
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 z y))) t) |
(+.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(log.f64 t) |
t |
(-.f64 (log.f64 (*.f64 z y)) t) |
(log.f64 (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (log.f64 t) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (neg.f64 t))) t)) |
(*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t))) |
(*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (log.f64 t) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (neg.f64 t))) t) |
t |
(-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)) |
(-.f64 (-.f64 (*.f64 (/.f64 (log.f64 t) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (neg.f64 t))) |
(-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (/.f64 (log.f64 t) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) |
(*.f64 (/.f64 (log.f64 t) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (*.f64 (+.f64 (neg.f64 a) #s(literal -1/2 binary64)) t)) |
(/.f64 (neg.f64 (log.f64 t)) t) |
(/.f64 (log.f64 t) (neg.f64 t)) |
(neg.f64 (log.f64 t)) |
(log.f64 t) |
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) |
(-.f64 (*.f64 a a) #s(literal 1/4 binary64)) |
(*.f64 a a) |
a |
#s(literal 1/4 binary64) |
(+.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t) |
(/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (neg.f64 t)) |
(neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) |
(neg.f64 (log.f64 (*.f64 (+.f64 y x) z))) |
(log.f64 (*.f64 z (+.f64 x y))) |
(log.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 z (+.f64 x y)) |
(*.f64 (+.f64 y x) z) |
z |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) t)) |
(*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) t) |
(-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) |
(/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) |
(+.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(log.f64 t) |
t |
(log.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(log.f64 z) |
z |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.27105264512301375 | (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) | |
| accuracy | 0.3268038206944218 | (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) | |
| accuracy | 0.5142879972093406 | (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) | |
| accuracy | 6.469675528208203 | (*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) t) | |
| accuracy | 0.23828125 | (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t) | |
| accuracy | 6.469675528208203 | (*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t))) | |
| accuracy | 13.8195019153896 | (log.f64 (*.f64 z (+.f64 x y))) | |
| accuracy | 17.017241824317278 | (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) | |
| accuracy | 0.0 | (log.f64 t) | |
| accuracy | 0.05196287551631453 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) | |
| accuracy | 0.1956125609259798 | (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t)) | |
| accuracy | 13.819501915389619 | (log.f64 (*.f64 z y)) | |
| accuracy | 0.0 | (log.f64 t) | |
| accuracy | 0.23828125 | (*.f64 (log.f64 t) a) | |
| accuracy | 38.26420609393241 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) | |
| accuracy | 0.01171875 | (-.f64 (log.f64 y) t) | |
| accuracy | 0.05196287551631453 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)))) | |
| accuracy | 0.16015625 | (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)) | |
| accuracy | 0.16369741535990973 | (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t))) |
| 135.0ms | 256× | 0 | valid |
Compiled 475 to 66 computations (86.1% saved)
ival-mult: 28.0ms (29.6% of total)ival-log: 24.0ms (25.4% of total)ival-add: 18.0ms (19% of total)ival-sub: 10.0ms (10.6% of total)ival-div: 8.0ms (8.5% of total)ival-neg: 3.0ms (3.2% of total)ival-pow2: 3.0ms (3.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)))) |
(+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t))) |
(log.f64 z) |
(fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
(*.f64 (log.f64 t) a) |
(log.f64 t) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t)) |
(+.f64 #s(literal -1/2 binary64) a) |
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
(*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t))) |
(-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) t)) |
(*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) t) |
(-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) |
(/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(-.f64 (log.f64 y) t) |
(log.f64 (*.f64 z y)) |
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) |
(log.f64 (*.f64 z (+.f64 x y))) |
(/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) |
| Outputs |
|---|
(- (+ (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 t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (+ 1/2 a) (+ t (log (* y z))))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (+ (* x (- (+ (* -1 (/ (log (* y z)) (* (pow y 2) (+ t (log (* y z)))))) (+ (* -1/2 (/ (* (log t) (- (pow a 2) 1/4)) (* (pow y 2) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ 1 (* (pow y 2) (+ t (log (* y z))))))) (+ (* -1/2 (/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (pow y 2) (* (+ 1/2 a) (pow (+ t (log (* y z))) 2))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (* (+ 1/2 a) (+ t (log (* y z)))))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (+ (* x (- (+ (* -1 (/ (log (* y z)) (* (pow y 2) (+ t (log (* y z)))))) (+ (* -1/2 (/ (* (log t) (- (pow a 2) 1/4)) (* (pow y 2) (* (+ 1/2 a) (+ t (log (* y z))))))) (+ (* x (- (+ (* 1/3 (/ (* (log t) (- (pow a 2) 1/4)) (* (pow y 3) (* (+ 1/2 a) (+ t (log (* y z))))))) (* 2/3 (/ (log (* y z)) (* (pow y 3) (+ t (log (* y z))))))) (+ (* -1/2 (/ (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2)))) (* (pow y 2) (+ t (log (* y z)))))) (+ (* 1/3 (/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (pow y 3) (* (+ 1/2 a) (pow (+ t (log (* y z))) 2))))) (+ (/ 1 (* (pow y 3) (+ t (log (* y z))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (- (+ (* -1 (/ (log (* y z)) (* (pow y 2) (+ t (log (* y z)))))) (+ (* -1/2 (/ (* (log t) (- (pow a 2) 1/4)) (* (pow y 2) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ 1 (* (pow y 2) (+ t (log (* y z))))))) (+ (* -1/2 (/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (pow y 2) (* (+ 1/2 a) (pow (+ t (log (* y z))) 2))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (* (+ 1/2 a) (+ t (log (* y z)))))))) (* (+ 1/2 a) (+ t (log (* y z)))))))))) (/ 1 (* (pow y 2) (+ t (log (* y z)))))))) (+ (* -1/2 (/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (pow y 2) (* (+ 1/2 a) (pow (+ t (log (* y z))) 2))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (* (+ 1/2 a) (+ t (log (* y z)))))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
(* -1 (* t (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))))))) |
(+ (* -1 (* t (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))))))) (/ x y)) |
(+ (* -1 (* t (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))))))) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(+ (* -1 (* t (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))))))) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(* -1 (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a))))))) |
(- (/ x (* t y)) (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a))))))) |
(- (* x (+ (* -1/2 (/ x (* t (pow y 2)))) (/ 1 (* t y)))) (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a))))))) |
(- (* x (+ (* x (- (* 1/3 (/ x (* t (pow y 3)))) (* 1/2 (/ 1 (* t (pow y 2)))))) (/ 1 (* t y)))) (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a))))))) |
(* t (- (+ (/ (log y) t) (+ (/ (log z) t) (/ (* (log t) (- a 1/2)) t))) 1)) |
(+ (* t (- (+ (/ (log y) t) (+ (/ (log z) t) (/ (* (log t) (- a 1/2)) t))) 1)) (/ x y)) |
(+ (* t (- (+ (/ (log y) t) (+ (/ (log z) t) (/ (* (log t) (- a 1/2)) t))) 1)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(+ (* t (- (+ (/ (log y) t) (+ (/ (log z) t) (/ (* (log t) (- a 1/2)) t))) 1)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(- (+ (/ (log y) t) (+ (/ (log z) t) (/ (* (log t) (- a 1/2)) t))) 1) |
(- (+ (/ x (* t y)) (+ (/ (log y) t) (+ (/ (log z) t) (/ (* (log t) (- a 1/2)) t)))) 1) |
(- (+ (* x (+ (* -1/2 (/ x (* t (pow y 2)))) (/ 1 (* t y)))) (+ (/ (log y) t) (+ (/ (log z) t) (/ (* (log t) (- a 1/2)) t)))) 1) |
(- (+ (* x (+ (* x (- (* 1/3 (/ x (* t (pow y 3)))) (* 1/2 (/ 1 (* t (pow y 2)))))) (/ 1 (* t y)))) (+ (/ (log y) t) (+ (/ (log z) t) (/ (* (log t) (- a 1/2)) t)))) 1) |
(/ (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(+ (/ x (* t y)) (+ (/ (log y) t) (+ (/ (log z) t) (/ (* (log t) (- a 1/2)) t)))) |
(+ (* x (+ (* -1/2 (/ x (* t (pow y 2)))) (/ 1 (* t y)))) (+ (/ (log y) t) (+ (/ (log z) t) (/ (* (log t) (- a 1/2)) t)))) |
(+ (* x (+ (* x (- (* 1/3 (/ x (* t (pow y 3)))) (* 1/2 (/ 1 (* t (pow y 2)))))) (/ 1 (* t y)))) (+ (/ (log y) t) (+ (/ (log z) t) (/ (* (log t) (- a 1/2)) t)))) |
(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)))) |
(* -1 (/ (log (* y z)) t)) |
(+ (* -1 (/ x (* t y))) (* -1 (/ (log (* y z)) t))) |
(+ (* -1 (/ (log (* y z)) t)) (* x (- (* 1/2 (/ x (* t (pow y 2)))) (/ 1 (* t y))))) |
(+ (* -1 (/ (log (* y z)) t)) (* x (- (* x (+ (* -1/3 (/ x (* t (pow y 3)))) (* 1/2 (/ 1 (* t (pow y 2)))))) (/ 1 (* t y))))) |
(+ (log y) (* (log t) (- a 1/2))) |
(+ (log y) (+ (* (log t) (- a 1/2)) (/ x y))) |
(+ (log y) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2)))) |
(+ (log y) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2)))) |
(+ (log y) (+ (log z) (* (log t) (- a 1/2)))) |
(+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) |
(+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) |
(+ (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))))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) |
(/ (+ (* (log t) (* (+ t (+ (log z) (* -1 (log (/ 1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2)))) (* (+ 1/2 a) (+ t (+ (log z) (* -1 (log (/ 1 x))))))) |
(- (+ (* 2 (/ (* y (+ (log z) (* -1 (log (/ 1 x))))) (* x (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (/ (* y (* (log t) (- (pow a 2) 1/4))) (* x (* (+ 1/2 a) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2)) (+ t (+ (log z) (* -1 (log (/ 1 x))))))))) (/ (* y (+ (* (log t) (* (+ t (+ (log z) (* -1 (log (/ 1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2))))) (* x (* (+ 1/2 a) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2))))) |
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(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log y) a))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* y z)) a))) (/ t a))) |
a |
(* a (- 1 (* 1/2 (/ 1 a)))) |
(/ (* a (log t)) t) |
(* a (- (* -1/2 (/ (log t) (* a t))) (* -1 (/ (log t) t)))) |
(* a (- (+ (log t) (/ (pow (log (* z (+ x y))) 2) (* a (+ t (log (* z (+ x y))))))) (+ (* 1/2 (/ (log t) a)) (/ (pow t 2) (* a (+ t (log (* z (+ x y))))))))) |
(* a (- (+ (log t) (+ (* -1/4 (/ (log t) (pow a 2))) (+ (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (* (pow a 2) (+ t (log (* z (+ x y))))))) (/ (pow (log (* z (+ x y))) 2) (* a (+ t (log (* z (+ x y))))))))) (+ (* 1/2 (/ (log t) a)) (+ (* 1/2 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) (pow a 2))) (/ (pow t 2) (* a (+ t (log (* z (+ x y)))))))))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (- (+ (* -1/4 (log t)) (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y))))))) (* 1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) (pow a 3))) (+ (* -1/4 (/ (log t) (pow a 2))) (+ (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (* (pow a 2) (+ t (log (* z (+ x y))))))) (/ (pow (log (* z (+ x y))) 2) (* a (+ t (log (* z (+ x y)))))))))) (+ (* 1/2 (/ (log t) a)) (+ (* 1/2 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) (pow a 2))) (/ (pow t 2) (* a (+ t (log (* z (+ x y)))))))))) |
(* a (+ (log t) (* -1 (/ (* t (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t))))) a)))) |
(* a (- (* -1 (/ (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t)))) a)) (* -1 (/ (log t) t)))) |
(* a (+ (log t) (/ (* t (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) a))) |
(* a (- (+ (* -1/2 (/ (log t) (* a t))) (+ (/ (log t) t) (+ (/ (log z) (* a t)) (/ (log (+ x y)) (* a t))))) (/ 1 a))) |
(* a (+ (* -1/2 (/ (log t) (* a t))) (+ (/ (log t) t) (+ (/ (log z) (* a t)) (/ (log (+ x y)) (* a t)))))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (+ x y)) a)))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) 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 y) (+ (log z) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (* -1/2 (log t))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* y z)) (* -1/2 (log t))) t) a))))) |
(* -1 (* a (- (* 1/2 (/ 1 a)) 1))) |
(* -1 (* a (- (* 1/2 (/ (log t) (* a t))) (/ (log t) t)))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a)) (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (/ (- (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a)) (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (/ (* t (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t))))) a)))) |
(* -1 (* a (- (+ (* -1 (/ (log (* z (+ x y))) (* a t))) (+ (* 1/2 (/ (log t) (* a t))) (/ 1 a))) (/ (log t) t)))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) a))))) |
(* -1 (* a (+ (* -1 (/ (log t) t)) (* -1 (/ (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1) a))))) |
(* -1 (* a (+ (* -1 (/ (log t) t)) (* -1 (/ (+ (* -1/2 (/ (log t) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (* -1/2 (log t))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) a))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 71.0ms | x | @ | -inf | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (log z) (+ (* (log t) (+ -1/2 a)) (- (log y) t))) (log z) (+ (* (log t) (+ -1/2 a)) (- (log y) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (log t) a) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (+ -1/2 a) (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (* t (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t))) (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (- (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) 1) t) (- (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) 1) (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) (- (log y) t) (log (* z y)) (/ (- (* a a) 1/4) (+ 1/2 a)) (log (* z (+ x y))) (/ (neg (log (* z (+ x y)))) t) (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z))) |
| 61.0ms | z | @ | -inf | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (log z) (+ (* (log t) (+ -1/2 a)) (- (log y) t))) (log z) (+ (* (log t) (+ -1/2 a)) (- (log y) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (log t) a) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (+ -1/2 a) (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (* t (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t))) (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (- (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) 1) t) (- (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) 1) (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) (- (log y) t) (log (* z y)) (/ (- (* a a) 1/4) (+ 1/2 a)) (log (* z (+ x y))) (/ (neg (log (* z (+ x y)))) t) (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z))) |
| 56.0ms | t | @ | inf | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (log z) (+ (* (log t) (+ -1/2 a)) (- (log y) t))) (log z) (+ (* (log t) (+ -1/2 a)) (- (log y) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (log t) a) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (+ -1/2 a) (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (* t (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t))) (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (- (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) 1) t) (- (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) 1) (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) (- (log y) t) (log (* z y)) (/ (- (* a a) 1/4) (+ 1/2 a)) (log (* z (+ x y))) (/ (neg (log (* z (+ x y)))) t) (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z))) |
| 54.0ms | z | @ | 0 | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (log z) (+ (* (log t) (+ -1/2 a)) (- (log y) t))) (log z) (+ (* (log t) (+ -1/2 a)) (- (log y) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (log t) a) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (+ -1/2 a) (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (* t (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t))) (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (- (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) 1) t) (- (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) 1) (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) (- (log y) t) (log (* z y)) (/ (- (* a a) 1/4) (+ 1/2 a)) (log (* z (+ x y))) (/ (neg (log (* z (+ x y)))) t) (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z))) |
| 54.0ms | t | @ | -inf | ((+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (log z) (+ (* (log t) (+ -1/2 a)) (- (log y) t))) (log z) (+ (* (log t) (+ -1/2 a)) (- (log y) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (log t) a) (log t) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (+ -1/2 a) (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (* t (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t))) (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (* (- (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) 1) t) (- (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) 1) (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) (- (log y) t) (log (* z y)) (/ (- (* a a) 1/4) (+ 1/2 a)) (log (* z (+ x y))) (/ (neg (log (* z (+ x y)))) t) (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1722 | 20653 |
| 1 | 6163 | 20276 |
| 0 | 8099 | 19478 |
| 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 t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (+ 1/2 a) (+ t (log (* y z))))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (+ (* x (- (+ (* -1 (/ (log (* y z)) (* (pow y 2) (+ t (log (* y z)))))) (+ (* -1/2 (/ (* (log t) (- (pow a 2) 1/4)) (* (pow y 2) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ 1 (* (pow y 2) (+ t (log (* y z))))))) (+ (* -1/2 (/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (pow y 2) (* (+ 1/2 a) (pow (+ t (log (* y z))) 2))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (* (+ 1/2 a) (+ t (log (* y z)))))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (+ (* x (- (+ (* -1 (/ (log (* y z)) (* (pow y 2) (+ t (log (* y z)))))) (+ (* -1/2 (/ (* (log t) (- (pow a 2) 1/4)) (* (pow y 2) (* (+ 1/2 a) (+ t (log (* y z))))))) (+ (* x (- (+ (* 1/3 (/ (* (log t) (- (pow a 2) 1/4)) (* (pow y 3) (* (+ 1/2 a) (+ t (log (* y z))))))) (* 2/3 (/ (log (* y z)) (* (pow y 3) (+ t (log (* y z))))))) (+ (* -1/2 (/ (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2)))) (* (pow y 2) (+ t (log (* y z)))))) (+ (* 1/3 (/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (pow y 3) (* (+ 1/2 a) (pow (+ t (log (* y z))) 2))))) (+ (/ 1 (* (pow y 3) (+ t (log (* y z))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (- (+ (* -1 (/ (log (* y z)) (* (pow y 2) (+ t (log (* y z)))))) (+ (* -1/2 (/ (* (log t) (- (pow a 2) 1/4)) (* (pow y 2) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ 1 (* (pow y 2) (+ t (log (* y z))))))) (+ (* -1/2 (/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (pow y 2) (* (+ 1/2 a) (pow (+ t (log (* y z))) 2))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (* (+ 1/2 a) (+ t (log (* y z)))))))) (* (+ 1/2 a) (+ t (log (* y z)))))))))) (/ 1 (* (pow y 2) (+ t (log (* y z)))))))) (+ (* -1/2 (/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (pow y 2) (* (+ 1/2 a) (pow (+ t (log (* y z))) 2))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (* (+ 1/2 a) (+ t (log (* y z)))))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
(* -1 (* t (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))))))) |
(+ (* -1 (* t (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))))))) (/ x y)) |
(+ (* -1 (* t (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))))))) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(+ (* -1 (* t (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))))))) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(* -1 (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a))))))) |
(- (/ x (* t y)) (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a))))))) |
(- (* x (+ (* -1/2 (/ x (* t (pow y 2)))) (/ 1 (* t y)))) (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a))))))) |
(- (* x (+ (* x (- (* 1/3 (/ x (* t (pow y 3)))) (* 1/2 (/ 1 (* t (pow y 2)))))) (/ 1 (* t y)))) (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a))))))) |
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(- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1) |
(/ (+ (log z) (+ (log (+ x y)) (* -1 (* (log (/ 1 t)) (- a 1/2))))) t) |
(* t (- (/ (log y) t) 1)) |
(+ (log (+ x y)) (* -1 (* (log (/ 1 t)) (- a 1/2)))) |
(+ (log z) (+ (log (+ x y)) (* -1 (* (log (/ 1 t)) (- a 1/2))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (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 -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t))))) |
(* a (+ (log -1) (* -1 (log (/ -1 t))))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* y z)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) t))))) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (* t (+ 1/2 a))) |
(* -1 (* t (+ 1 (* -1 (/ (- (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a)) (* -1 (log (* z (+ x y))))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ (* (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4))) (* (pow (log (* z (+ x y))) 2) (+ 1/2 a))) (+ 1/2 a))) (* -1 (* (log (* z (+ x y))) (- (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a)) (* -1 (log (* z (+ x y)))))))) t)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a))) (* -1 (log (* z (+ x y))))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log (* z (+ x y))) (- (* -1 (/ (+ (* (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4))) (* (pow (log (* z (+ x y))) 2) (+ 1/2 a))) (+ 1/2 a))) (* -1 (* (log (* z (+ x y))) (- (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a)) (* -1 (log (* z (+ x y))))))))) t)) (* -1 (/ (+ (* (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4))) (* (pow (log (* z (+ x y))) 2) (+ 1/2 a))) (+ 1/2 a)))) (* -1 (* (log (* z (+ x y))) (- (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a)) (* -1 (log (* z (+ x y)))))))) t)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a))) (* -1 (log (* z (+ x y))))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a))) t))))) |
(- (+ (/ (log (* z (+ x y))) t) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))) 1) |
(- (+ (/ (log z) t) (+ (/ (log (+ x y)) t) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) t))) 1) |
(/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t) |
(* -1 (* t (+ 1 (* -1 (/ (log y) t))))) |
(+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) |
(+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) |
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log y) (* -1/2 (log t))) t) |
(- (+ (log y) (+ (* -1/2 (log t)) (* a (log t)))) t) |
(- (+ (log (* y z)) (* -1/2 (log t))) t) |
(- (+ (log (* y z)) (+ (* -1/2 (log t)) (* a (log t)))) t) |
-1/2 |
(- a 1/2) |
(* -1/2 (/ (log t) t)) |
(- (/ (* a (log t)) t) (* 1/2 (/ (log t) t))) |
(* 2 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) |
(+ (* 2 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* a (- (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))) |
(+ (* 2 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* a (- (+ (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* a (- (* 2 (log t)) (* 2 (- (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))) |
(+ (* 2 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* a (- (+ (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* a (- (+ (* -2 (* a (- (* 2 (log t)) (* 2 (- (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))))) (* 2 (log t))) (* 2 (- (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))) |
(* -1 (* t (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t)))))) |
(+ (* -1 (* t (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t)))))) (* a (log t))) |
(* -1 (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t))))) |
(- (/ (* a (log t)) t) (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t))))) |
(* t (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(+ (* a (log t)) (* t (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1))) |
(- (+ (* -1/2 (/ (log t) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1) |
(- (+ (* -1/2 (/ (log t) t)) (+ (/ (log z) t) (+ (/ (log (+ x y)) t) (/ (* a (log t)) t)))) 1) |
(/ (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(+ (* -1/2 (/ (log t) t)) (+ (/ (log z) t) (+ (/ (log (+ x y)) t) (/ (* a (log t)) t)))) |
(+ (log (+ x y)) (* -1/2 (log t))) |
(+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t)))) |
(+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log y) a))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (* y z)) a))) (/ t a))) |
a |
(* a (- 1 (* 1/2 (/ 1 a)))) |
(/ (* a (log t)) t) |
(* a (- (* -1/2 (/ (log t) (* a t))) (* -1 (/ (log t) t)))) |
(* a (- (+ (log t) (/ (pow (log (* z (+ x y))) 2) (* a (+ t (log (* z (+ x y))))))) (+ (* 1/2 (/ (log t) a)) (/ (pow t 2) (* a (+ t (log (* z (+ x y))))))))) |
(* a (- (+ (log t) (+ (* -1/4 (/ (log t) (pow a 2))) (+ (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (* (pow a 2) (+ t (log (* z (+ x y))))))) (/ (pow (log (* z (+ x y))) 2) (* a (+ t (log (* z (+ x y))))))))) (+ (* 1/2 (/ (log t) a)) (+ (* 1/2 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) (pow a 2))) (/ (pow t 2) (* a (+ t (log (* z (+ x y)))))))))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (- (+ (* -1/4 (log t)) (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y))))))) (* 1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) (pow a 3))) (+ (* -1/4 (/ (log t) (pow a 2))) (+ (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (* (pow a 2) (+ t (log (* z (+ x y))))))) (/ (pow (log (* z (+ x y))) 2) (* a (+ t (log (* z (+ x y)))))))))) (+ (* 1/2 (/ (log t) a)) (+ (* 1/2 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) (pow a 2))) (/ (pow t 2) (* a (+ t (log (* z (+ x y)))))))))) |
(* a (+ (log t) (* -1 (/ (* t (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t))))) a)))) |
(* a (- (* -1 (/ (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t)))) a)) (* -1 (/ (log t) t)))) |
(* a (+ (log t) (/ (* t (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) a))) |
(* a (- (+ (* -1/2 (/ (log t) (* a t))) (+ (/ (log t) t) (+ (/ (log z) (* a t)) (/ (log (+ x y)) (* a t))))) (/ 1 a))) |
(* a (+ (* -1/2 (/ (log t) (* a t))) (+ (/ (log t) t) (+ (/ (log z) (* a t)) (/ (log (+ x y)) (* a t)))))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log (+ x y)) a)))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) 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 y) (+ (log z) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log y) (* -1/2 (log t))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log (* y z)) (* -1/2 (log t))) t) a))))) |
(* -1 (* a (- (* 1/2 (/ 1 a)) 1))) |
(* -1 (* a (- (* 1/2 (/ (log t) (* a t))) (/ (log t) t)))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a)) (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (/ (- (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a)) (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (/ (* t (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t))))) a)))) |
(* -1 (* a (- (+ (* -1 (/ (log (* z (+ x y))) (* a t))) (+ (* 1/2 (/ (log t) (* a t))) (/ 1 a))) (/ (log t) t)))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) a))))) |
(* -1 (* a (+ (* -1 (/ (log t) t)) (* -1 (/ (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1) a))))) |
(* -1 (* a (+ (* -1 (/ (log t) t)) (* -1 (/ (+ (* -1/2 (/ (log t) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log (+ x y)) (* -1/2 (log t))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) a))))) |
| Outputs |
|---|
(- (+ (log y) (+ (log z) (* (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 y)) t) |
(- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(-.f64 (+.f64 (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (/.f64 x y)) (log.f64 z)) (log.f64 y)) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (log.f64 z)) (log.f64 y)) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(-.f64 (+.f64 (+.f64 (log.f64 y) (log.f64 z)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) t) |
(/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (+ 1/2 a) (+ t (log (* y z))))) |
(/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 (log.f64 (*.f64 z y)) t)) (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 (log.f64 (*.f64 z y)) t) (+.f64 #s(literal 1/2 binary64) a))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
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a |
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Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 420 |
| 0 | 113 | 388 |
| 1 | 526 | 365 |
| 2 | 4318 | 361 |
| 0 | 9104 | 360 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)))) |
(+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t))) |
(log.f64 z) |
(fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
(*.f64 (log.f64 t) a) |
(log.f64 t) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
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#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
(*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t))) |
(-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) t)) |
(*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) t) |
(-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) |
(/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) |
(-.f64 (log.f64 y) t) |
(log.f64 (*.f64 z y)) |
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) |
(log.f64 (*.f64 z (+.f64 x y))) |
(/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 z y))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 z y))) t)) |
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64))) (-.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 y) t) #s(literal 2 binary64))) (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) (log.f64 z))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 z y))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 z y))) #s(literal 2 binary64)) (fma.f64 t t (*.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 z y))) t)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 y) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (log.f64 y) t) #s(literal 2 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) (*.f64 z y))) t))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (log.f64 (*.f64 z y)) t) (-.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 (/.f64 z (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) y))) t))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) (log.f64 z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) #s(literal 2 binary64))) (+.f64 (log.f64 (/.f64 z (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) y))) t)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 2 binary64))) (+.f64 (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) (*.f64 z y))) t)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) (log.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) (log.f64 z)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) (-.f64 (log.f64 (*.f64 z y)) t))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 (*.f64 z y)) t) (-.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64)))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (+.f64 (-.f64 (log.f64 y) t) (log.f64 z))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t)) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (fma.f64 (log.f64 t) a (-.f64 (log.f64 (*.f64 z y)) t))) |
(fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (+.f64 (-.f64 (log.f64 y) t) (log.f64 z))) |
(fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 (*.f64 z y)) t)) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (fma.f64 (log.f64 t) a (-.f64 (log.f64 (*.f64 z y)) t))) |
(-.f64 (log.f64 (*.f64 z (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) y))) t) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) (*.f64 z y))) t)) (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) (*.f64 z y))) t))) |
(-.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 z (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) y))) t)) (/.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 z (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) y))) t))) |
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 y)) (-.f64 t (log.f64 z))) |
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 z y))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) a)) (log.f64 t))) |
(-.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (neg.f64 (log.f64 t)) (+.f64 #s(literal -1/2 binary64) a))) |
(-.f64 (log.f64 (*.f64 z y)) (-.f64 t (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)))) |
(+.f64 (+.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) (*.f64 (log.f64 t) a)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 3 binary64)) (fma.f64 (-.f64 (log.f64 (*.f64 z y)) t) (-.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z y)) t) #s(literal 3 binary64)) (fma.f64 (-.f64 (log.f64 (*.f64 z y)) t) (-.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) (log.f64 z)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) (log.f64 z)) (pow.f64 (log.f64 z) #s(literal 2 binary64))))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) (fma.f64 (log.f64 t) a (-.f64 (log.f64 (*.f64 z y)) t))) |
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) (+.f64 (-.f64 (log.f64 y) t) (log.f64 z))) |
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) (-.f64 (log.f64 (*.f64 z y)) t)) |
(+.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) (log.f64 z)) |
(+.f64 (-.f64 (log.f64 y) t) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z))) |
(+.f64 (log.f64 z) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t))) |
(log.f64 z) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 y)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 y)) t)) |
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 y) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64))) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 y)) #s(literal 2 binary64)) (fma.f64 t t (*.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 y)) t)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 y) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) y)) t))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (log.f64 y) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (log.f64 y) t) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 y) t) #s(literal 2 binary64))) (+.f64 (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) y)) t)) |
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 y) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (log.f64 y) t) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) (-.f64 (log.f64 y) t))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 y) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 3 binary64))) (fma.f64 (-.f64 (log.f64 y) t) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64)))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 y) t)) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (fma.f64 (log.f64 t) a (-.f64 (log.f64 y) t))) |
(fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (fma.f64 (log.f64 t) a (-.f64 (log.f64 y) t))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) y)) t)) (/.f64 (pow.f64 (-.f64 (log.f64 y) t) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) y)) t))) |
(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 y)) t) |
(-.f64 (-.f64 (log.f64 y) t) (*.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) a)) (log.f64 t))) |
(-.f64 (-.f64 (log.f64 y) t) (*.f64 (neg.f64 (log.f64 t)) (+.f64 #s(literal -1/2 binary64) a))) |
(-.f64 (log.f64 y) (-.f64 t (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)))) |
(+.f64 (+.f64 (-.f64 (log.f64 y) t) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) (*.f64 (log.f64 t) a)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 3 binary64)) (fma.f64 (-.f64 (log.f64 y) t) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (log.f64 y) t) #s(literal 3 binary64)) (fma.f64 (-.f64 (log.f64 y) t) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) (fma.f64 (log.f64 t) a (-.f64 (log.f64 y) t))) |
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(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (/.f64 (+.f64 y x) z)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (fma.f64 (log.f64 z) (log.f64 z) (-.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (fma.f64 (log.f64 z) (log.f64 (/.f64 z (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) (+.f64 y x)))) (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 y x) z))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 y x) z))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))) |
(fma.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 y x) z))) (sqrt.f64 (log.f64 (*.f64 (+.f64 y x) z))) (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 t) (fma.f64 (log.f64 t) a (log.f64 (*.f64 (+.f64 y x) z)))) |
(fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (log.f64 (*.f64 (+.f64 y x) z))) |
(fma.f64 (log.f64 t) #s(literal -1/2 binary64) (fma.f64 (log.f64 t) a (log.f64 (*.f64 (+.f64 y x) z)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (/.f64 (+.f64 y x) z)))) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (/.f64 (+.f64 y x) z))))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) #s(literal 3 binary64)) (fma.f64 (log.f64 z) (log.f64 (/.f64 z (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) (+.f64 y x)))) (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (fma.f64 (log.f64 z) (log.f64 (/.f64 z (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) (+.f64 y x)))) (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) #s(literal 2 binary64))))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (log.f64 (+.f64 y x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 t)) (fma.f64 (log.f64 t) a (log.f64 (*.f64 (+.f64 y x) z)))) |
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) (log.f64 (*.f64 (+.f64 y x) z))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) |
(+.f64 (log.f64 (+.f64 y x)) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z))) |
(+.f64 (log.f64 (*.f64 (+.f64 y x) z)) (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))) |
(+.f64 (log.f64 z) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x)))) |
(log.f64 (*.f64 (*.f64 z (pow.f64 t (+.f64 #s(literal -1/2 binary64) a))) (+.f64 y x))) |
(log.f64 (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 1 binary64)))) |
(log.f64 (*.f64 (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) (+.f64 y x)) z)) |
(log.f64 (*.f64 (*.f64 (+.f64 y x) (pow.f64 t (+.f64 #s(literal -1/2 binary64) a))) z)) |
(log.f64 (*.f64 (+.f64 y x) (*.f64 z (pow.f64 t (+.f64 #s(literal -1/2 binary64) a))))) |
(log.f64 (*.f64 (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 1 binary64)) (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)))) |
(log.f64 (*.f64 (*.f64 (+.f64 y x) z) (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)))) |
(log.f64 (*.f64 z (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) (+.f64 y x)))) |
(log.f64 (*.f64 z (*.f64 (+.f64 y x) (pow.f64 t (+.f64 #s(literal -1/2 binary64) a))))) |
(log.f64 (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) (*.f64 (+.f64 y x) z))) |
Compiled 59 280 to 4 712 computations (92.1% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 749 | 11 | 760 |
| Fresh | 1 | 8 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 752 | 23 | 775 |
| Status | Accuracy | Program |
|---|---|---|
| 51.1% | (fma.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) (/.f64 (log.f64 t) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) a) (+.f64 #s(literal 1/2 binary64) a)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))) | |
| ▶ | 14.1% | (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
| 73.4% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) | |
| 58.6% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+.f64 (+.f64 (log.f64 (*.f64 z (+.f64 x y))) (neg.f64 t)) (/.f64 (*.f64 (log.f64 t) (-.f64 (*.f64 a a) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) a)))) | |
| 47.9% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) | |
| ▶ | 55.0% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
| 16.4% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t #s(approx (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t)) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 (*.f64 z x)) t) (/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) #s(literal 1 binary64)))))) | |
| ✓ | 77.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
| 47.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) | |
| 77.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (log.f64 (*.f64 z y)) (-.f64 t (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))))) | |
| ▶ | 61.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
| ✓ | 99.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)))) |
| 58.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) t (*.f64 t (log.f64 z))) (*.f64 t t)) #s(literal 1 binary64)) t)) | |
| 69.9% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) #s(literal 1 binary64)) t)) | |
| 69.9% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) | |
| 80.4% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 #s(approx (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (+.f64 (log.f64 z) (log.f64 (+.f64 y x)))) t) a) #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 t) t))) a))) #s(literal 1 binary64)) t)) | |
| ✓ | 40.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
| ✓ | 39.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
| 4.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (pow.f64 t a))) | |
| ▶ | 18.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
| 23.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) (+.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 #s(literal -1/2 binary64) (log.f64 t))))) | |
| ▶ | 89.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)))))) |
| 47.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))))) |
Compiled 1 955 to 1 300 computations (33.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) a) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) | |
| cost-diff | 0 | (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y))) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) | |
| cost-diff | 0 | (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)) | |
| cost-diff | 0 | (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)) | |
| cost-diff | 0 | (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z))) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) | |
| cost-diff | 0 | (neg.f64 (*.f64 t t)) | |
| cost-diff | 0 | #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) | |
| cost-diff | 1 | (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a)) | |
| cost-diff | 0 | (*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)))))) | |
| cost-diff | 5 | (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 749 |
| 0 | 139 | 749 |
| 1 | 280 | 731 |
| 2 | 740 | 709 |
| 3 | 2597 | 681 |
| 0 | 8668 | 678 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)))))) |
#s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64))))) |
(*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)))) |
t |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) |
(neg.f64 (log.f64 t)) |
(log.f64 t) |
(/.f64 (-.f64 a #s(literal 1/2 binary64)) t) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)) |
(/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) |
(+.f64 (log.f64 y) (log.f64 z)) |
(log.f64 y) |
y |
(log.f64 z) |
z |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
#s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a)) |
(neg.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(+.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a)) |
(+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) |
(log.f64 (*.f64 z (+.f64 y x))) |
(*.f64 z (+.f64 y x)) |
z |
(+.f64 y x) |
y |
x |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
(log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z))) |
(*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)) |
(+.f64 y x) |
y |
x |
(*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z) |
(pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) |
t |
(+.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
z |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
(*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t))) |
t |
(-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)) |
(-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) |
#s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) |
(*.f64 a (/.f64 (log.f64 t) t)) |
a |
(/.f64 (log.f64 t) t) |
(log.f64 t) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t) |
(neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) |
(log.f64 (*.f64 z (+.f64 x y))) |
(*.f64 z (+.f64 x y)) |
z |
(+.f64 x y) |
x |
y |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) |
(+.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(log.f64 t) |
t |
(log.f64 z) |
z |
#s(approx (- (log y) t) (log.f64 y)) |
(log.f64 y) |
y |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (+.f64 (log.f64 z) (log.f64 y))) t) #s(literal 1 binary64)) t))) |
#s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64))))) |
#s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (+.f64 (log.f64 z) (log.f64 y))) t) #s(literal 1 binary64)) t)) |
(*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (+.f64 (log.f64 z) (log.f64 y))) t) #s(literal 1 binary64)) t) |
t |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64))) |
(-.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (+.f64 (log.f64 z) (log.f64 y))) t) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) |
(*.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (neg.f64 (log.f64 t))) |
(neg.f64 (log.f64 t)) |
(log.f64 t) |
(/.f64 (-.f64 a #s(literal 1/2 binary64)) t) |
(-.f64 a #s(literal 1/2 binary64)) |
a |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)) |
(-.f64 (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t) #s(literal 1 binary64)) |
(/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) |
(/.f64 (+.f64 (log.f64 z) (log.f64 y)) t) |
(+.f64 (log.f64 y) (log.f64 z)) |
(+.f64 (log.f64 z) (log.f64 y)) |
(log.f64 y) |
y |
(log.f64 z) |
z |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (*.f64 t t) (-.f64 #s(literal -1/2 binary64) a))) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (-.f64 a #s(literal -1/2 binary64)))) |
#s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) |
#s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (*.f64 t t) (-.f64 #s(literal -1/2 binary64) a))) |
(*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (*.f64 t t) (-.f64 #s(literal -1/2 binary64) a)) |
(neg.f64 (*.f64 t t)) |
(*.f64 (neg.f64 t) t) |
(*.f64 t t) |
t |
(+.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (-.f64 a #s(literal -1/2 binary64))) |
(+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) |
(+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) |
(log.f64 (*.f64 z (+.f64 y x))) |
(log.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
z |
(+.f64 y x) |
y |
x |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z) (+.f64 y x)))) |
(log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z))) |
(log.f64 (*.f64 (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z) (+.f64 y x))) |
(*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)) |
(*.f64 (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z) |
(pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) |
t |
(+.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
z |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 (/.f64 (log.f64 t) t) a)) #s(literal 1 binary64)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (neg.f64 t))) t)) |
(*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t))) |
(*.f64 (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 (/.f64 (log.f64 t) t) a)) #s(literal 1 binary64)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (neg.f64 t))) t) |
t |
(-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)) |
(-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 (/.f64 (log.f64 t) t) a)) #s(literal 1 binary64)) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (neg.f64 t))) |
(-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) |
(-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 (/.f64 (log.f64 t) t) a)) #s(literal 1 binary64)) |
#s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) |
#s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 (/.f64 (log.f64 t) t) a)) |
(*.f64 a (/.f64 (log.f64 t) t)) |
(*.f64 (/.f64 (log.f64 t) t) a) |
a |
(/.f64 (log.f64 t) t) |
(log.f64 t) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t) |
(/.f64 (log.f64 (*.f64 (+.f64 y x) z)) (neg.f64 t)) |
(neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) |
(neg.f64 (log.f64 (*.f64 (+.f64 y x) z))) |
(log.f64 (*.f64 z (+.f64 x y))) |
(log.f64 (*.f64 (+.f64 y x) z)) |
(*.f64 z (+.f64 x y)) |
(*.f64 (+.f64 y x) z) |
z |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (+.f64 #s(approx (- (log y) t) (log.f64 y)) (log.f64 z)))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (+.f64 #s(approx (- (log y) t) (log.f64 y)) (log.f64 z))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) |
(+.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(log.f64 t) |
t |
(log.f64 z) |
z |
#s(approx (- (log y) t) (log.f64 y)) |
(log.f64 y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05196287551631453 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) | |
| accuracy | 0.140301050779801 | (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y))) | |
| accuracy | 0.15390134254663357 | (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) | |
| accuracy | 14.898114885089626 | #s(approx (- (log y) t) (log.f64 y)) | |
| accuracy | 0.109375 | (/.f64 (log.f64 t) t) | |
| accuracy | 0.11232377930532605 | (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)) | |
| accuracy | 6.787542937638481 | (log.f64 (*.f64 z (+.f64 x y))) | |
| accuracy | 28.132120009267556 | #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) | |
| accuracy | 0.15247553705640288 | (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) | |
| accuracy | 2.1423492055109317 | (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)) | |
| accuracy | 8.716723172448354 | (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z))) | |
| accuracy | 14.782057093091192 | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) | |
| accuracy | 0.2099839202451521 | (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a)) | |
| accuracy | 6.150051641958196 | (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) | |
| accuracy | 6.787542937638481 | (log.f64 (*.f64 z (+.f64 y x))) | |
| accuracy | 14.407597756729771 | #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) | |
| accuracy | 0.10546875 | (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) | |
| accuracy | 0.11232377930532605 | (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64))) | |
| accuracy | 0.16796875 | (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) | |
| accuracy | 0.3255006996593004 | (+.f64 (log.f64 y) (log.f64 z)) |
| 242.0ms | 136× | 2 | exit |
| 63.0ms | 119× | 0 | valid |
| 5.0ms | 1× | 5 | exit |
Compiled 576 to 71 computations (87.7% saved)
ival-add: 57.0ms (25.4% of total)adjust: 39.0ms (17.4% of total)ival-mult: 39.0ms (17.4% of total)ival-log: 34.0ms (15.1% of total)ival-pow: 17.0ms (7.6% of total)ival-div: 16.0ms (7.1% of total)ival-sub: 14.0ms (6.2% of total)ival-neg: 6.0ms (2.7% of total)ival-pow2: 4.0ms (1.8% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)))))) |
#s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64))))) |
(*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
#s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) |
(neg.f64 (*.f64 t t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
(log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z))) |
(*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)) |
(+.f64 y x) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
(*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t))) |
(-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)) |
(-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) |
(+.f64 #s(literal -1/2 binary64) a) |
(+.f64 (log.f64 y) (log.f64 z)) |
(*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) |
(/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) |
(log.f64 (*.f64 z (+.f64 y x))) |
(pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) |
#s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) |
(log.f64 (*.f64 z (+.f64 x y))) |
(/.f64 (log.f64 t) t) |
#s(approx (- (log y) t) (log.f64 y)) |
| Outputs |
|---|
(- (+ (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 t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (+ 1/2 a) (+ t (log (* y z))))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (+ (* x (- (+ (* -1 (/ (log (* y z)) (* (pow y 2) (+ t (log (* y z)))))) (+ (* -1/2 (/ (* (log t) (- (pow a 2) 1/4)) (* (pow y 2) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ 1 (* (pow y 2) (+ t (log (* y z))))))) (+ (* -1/2 (/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (pow y 2) (* (+ 1/2 a) (pow (+ t (log (* y z))) 2))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (* (+ 1/2 a) (+ t (log (* y z)))))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (+ (* x (- (+ (* -1 (/ (log (* y z)) (* (pow y 2) (+ t (log (* y z)))))) (+ (* -1/2 (/ (* (log t) (- (pow a 2) 1/4)) (* (pow y 2) (* (+ 1/2 a) (+ t (log (* y z))))))) (+ (* x (- (+ (* 1/3 (/ (* (log t) (- (pow a 2) 1/4)) (* (pow y 3) (* (+ 1/2 a) (+ t (log (* y z))))))) (* 2/3 (/ (log (* y z)) (* (pow y 3) (+ t (log (* y z))))))) (+ (* -1/2 (/ (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2)))) (* (pow y 2) (+ t (log (* y z)))))) (+ (* 1/3 (/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (pow y 3) (* (+ 1/2 a) (pow (+ t (log (* y z))) 2))))) (+ (/ 1 (* (pow y 3) (+ t (log (* y z))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (- (+ (* -1 (/ (log (* y z)) (* (pow y 2) (+ t (log (* y z)))))) (+ (* -1/2 (/ (* (log t) (- (pow a 2) 1/4)) (* (pow y 2) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ 1 (* (pow y 2) (+ t (log (* y z))))))) (+ (* -1/2 (/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (pow y 2) (* (+ 1/2 a) (pow (+ t (log (* y z))) 2))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (* (+ 1/2 a) (+ t (log (* y z)))))))) (* (+ 1/2 a) (+ t (log (* y z)))))))))) (/ 1 (* (pow y 2) (+ t (log (* y z)))))))) (+ (* -1/2 (/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (pow y 2) (* (+ 1/2 a) (pow (+ t (log (* y z))) 2))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (* (+ 1/2 a) (+ t (log (* y z)))))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
(+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) |
(+ (* x (+ (* 2 (/ (* (log (* y z)) (+ 1/2 a)) y)) (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))))) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) |
(+ (* x (+ (* 2 (/ (* (log (* y z)) (+ 1/2 a)) y)) (+ (* x (+ (* -1/2 (/ (* (log t) (- (pow a 2) 1/4)) (pow y 2))) (* (+ 1/2 a) (+ (* -1 (/ (log (* y z)) (pow y 2))) (/ 1 (pow y 2)))))) (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y))))))) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) |
(+ (* x (+ (* 2 (/ (* (log (* y z)) (+ 1/2 a)) y)) (+ (* x (+ (* -1/2 (/ (* (log t) (- (pow a 2) 1/4)) (pow y 2))) (+ (* x (+ (* 1/3 (/ (* (log t) (- (pow a 2) 1/4)) (pow y 3))) (* (+ 1/2 a) (- (* 2/3 (/ (log (* y z)) (pow y 3))) (/ 1 (pow y 3)))))) (* (+ 1/2 a) (+ (* -1 (/ (log (* y z)) (pow y 2))) (/ 1 (pow y 2))))))) (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y))))))) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) |
(log (* y (* z (exp (* (log t) (- a 1/2)))))) |
(+ (log (* y (* z (exp (* (log t) (- a 1/2)))))) (/ x y)) |
(+ (log (* y (* z (exp (* (log t) (- a 1/2)))))) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(+ (log (* y (* z (exp (* (log t) (- a 1/2)))))) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(* y (* z (exp (* (log t) (- a 1/2))))) |
(+ (* x (* z (exp (* (log t) (- a 1/2))))) (* y (* z (exp (* (log t) (- a 1/2)))))) |
y |
(+ x y) |
(* -1 (* t (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))))))) |
(+ (* -1 (* t (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))))))) (/ x y)) |
(+ (* -1 (* t (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))))))) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(+ (* -1 (* t (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))))))) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(* -1 (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a))))))) |
(- (/ x (* t y)) (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a))))))) |
(- (* x (+ (* -1/2 (/ x (* t (pow y 2)))) (/ 1 (* t y)))) (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a))))))) |
(- (* x (+ (* x (- (* 1/3 (/ x (* t (pow y 3)))) (* 1/2 (/ 1 (* t (pow y 2)))))) (/ 1 (* t y)))) (+ 1 (+ (* -1 (/ (log (* y z)) t)) (* -1 (/ (* (log t) (- (pow a 2) 1/4)) (* t (+ 1/2 a))))))) |
(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 t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) |
(/ (+ (* (log t) (* (+ t (+ (log z) (* -1 (log (/ 1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2)))) (* (+ 1/2 a) (+ t (+ (log z) (* -1 (log (/ 1 x))))))) |
(- (+ (* 2 (/ (* y (+ (log z) (* -1 (log (/ 1 x))))) (* x (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (/ (* y (* (log t) (- (pow a 2) 1/4))) (* x (* (+ 1/2 a) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2)) (+ t (+ (log z) (* -1 (log (/ 1 x))))))))) (/ (* y (+ (* (log t) (* (+ t (+ (log z) (* -1 (log (/ 1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2))))) (* x (* (+ 1/2 a) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2))))) |
(- (+ (* -1 (/ (* (pow y 2) (+ (log z) (* -1 (log (/ 1 x))))) (* (pow x 2) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (* -1/2 (/ (* (pow y 2) (* (log t) (- (pow a 2) 1/4))) (* (pow x 2) (* (+ 1/2 a) (+ t (+ (log z) (* -1 (log (/ 1 x))))))))) (+ (* 2 (/ (* y (+ (log z) (* -1 (log (/ 1 x))))) (* x (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (/ (* y (* (log t) (- (pow a 2) 1/4))) (* x (* (+ 1/2 a) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (+ (/ (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2)) (+ t (+ (log z) (* -1 (log (/ 1 x)))))) (/ (pow y 2) (* (pow x 2) (+ t (+ (log z) (* -1 (log (/ 1 x))))))))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* (log t) (* (+ t (+ (log z) (* -1 (log (/ 1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2))))) (* (pow x 2) (* (+ 1/2 a) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2))))) (+ (/ (* y (+ (* (log t) (* (+ t (+ (log z) (* -1 (log (/ 1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2))))) (* x (* (+ 1/2 a) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2)))) (/ (* y (- (+ (* 2 (/ (* y (+ (log z) (* -1 (log (/ 1 x))))) (+ t (+ (log z) (* -1 (log (/ 1 x))))))) (/ (* y (* (log t) (- (pow a 2) 1/4))) (* (+ 1/2 a) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (/ (* y (+ (* (log t) (* (+ t (+ (log z) (* -1 (log (/ 1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2))))) (* (+ 1/2 a) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2))))) (* (pow x 2) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))))) |
(- (+ (* -1 (/ (* (pow y 2) (+ (log z) (* -1 (log (/ 1 x))))) (* (pow x 2) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (* -1 (/ (pow y 3) (* (pow x 3) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (* -1/2 (/ (* (pow y 2) (* (log t) (- (pow a 2) 1/4))) (* (pow x 2) (* (+ 1/2 a) (+ t (+ (log z) (* -1 (log (/ 1 x))))))))) (+ (* 1/3 (/ (* (pow y 3) (* (log t) (- (pow a 2) 1/4))) (* (pow x 3) (* (+ 1/2 a) (+ t (+ (log z) (* -1 (log (/ 1 x))))))))) (+ (* 2/3 (/ (* (pow y 3) (+ (log z) (* -1 (log (/ 1 x))))) (* (pow x 3) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (* 2 (/ (* y (+ (log z) (* -1 (log (/ 1 x))))) (* x (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (/ (* y (* (log t) (- (pow a 2) 1/4))) (* x (* (+ 1/2 a) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (+ (/ (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2)) (+ t (+ (log z) (* -1 (log (/ 1 x)))))) (/ (pow y 2) (* (pow x 2) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))))))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* (log t) (* (+ t (+ (log z) (* -1 (log (/ 1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2))))) (* (pow x 2) (* (+ 1/2 a) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2))))) (+ (* -1/2 (/ (* (pow y 2) (- (+ (* 2 (/ (* y (+ (log z) (* -1 (log (/ 1 x))))) (+ t (+ (log z) (* -1 (log (/ 1 x))))))) (/ (* y (* (log t) (- (pow a 2) 1/4))) (* (+ 1/2 a) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (/ (* y (+ (* (log t) (* (+ t (+ (log z) (* -1 (log (/ 1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2))))) (* (+ 1/2 a) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2))))) (* (pow x 3) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (* 1/3 (/ (* (pow y 3) (+ (* (log t) (* (+ t (+ (log z) (* -1 (log (/ 1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2))))) (* (pow x 3) (* (+ 1/2 a) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2))))) (+ (/ (* y (+ (* (log t) (* (+ t (+ (log z) (* -1 (log (/ 1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2))))) (* x (* (+ 1/2 a) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2)))) (+ (/ (* y (- (+ (* -1 (/ (* (pow y 2) (+ (log z) (* -1 (log (/ 1 x))))) (+ t (+ (log z) (* -1 (log (/ 1 x))))))) (+ (* -1/2 (/ (* (pow y 2) (* (log t) (- (pow a 2) 1/4))) (* (+ 1/2 a) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (/ (pow y 2) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (+ (* -1/2 (/ (* (pow y 2) (+ (* (log t) (* (+ t (+ (log z) (* -1 (log (/ 1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2))))) (* (+ 1/2 a) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2)))) (/ (* y (- (+ (* 2 (/ (* y (+ (log z) (* -1 (log (/ 1 x))))) (+ t (+ (log z) (* -1 (log (/ 1 x))))))) (/ (* y (* (log t) (- (pow a 2) 1/4))) (* (+ 1/2 a) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (/ (* y (+ (* (log t) (* (+ t (+ (log z) (* -1 (log (/ 1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2))))) (* (+ 1/2 a) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2))))) (+ t (+ (log z) (* -1 (log (/ 1 x))))))))) (* (pow x 3) (+ t (+ (log z) (* -1 (log (/ 1 x))))))) (/ (* y (- (+ (* 2 (/ (* y (+ (log z) (* -1 (log (/ 1 x))))) (+ t (+ (log z) (* -1 (log (/ 1 x))))))) (/ (* y (* (log t) (- (pow a 2) 1/4))) (* (+ 1/2 a) (+ t (+ (log z) (* -1 (log (/ 1 x)))))))) (/ (* y (+ (* (log t) (* (+ t (+ (log z) (* -1 (log (/ 1 x))))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (+ (log z) (* -1 (log (/ 1 x)))) 2) (pow t 2))))) (* (+ 1/2 a) (pow (+ t (+ (log z) (* -1 (log (/ 1 x))))) 2))))) (* (pow x 2) (+ t (+ (log z) (* -1 (log (/ 1 x))))))))))))) |
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(* t (- (+ (* -1 (/ (* (log (* z (+ x y))) (* (log (/ 1 t)) (- (pow a 2) 1/4))) (* (pow t 2) (+ 1/2 a)))) (+ (* -1 (/ (* (log (* z (+ x y))) (- (+ (* -1 (/ (* (log (* z (+ x y))) (* (log (/ 1 t)) (- (pow a 2) 1/4))) (+ 1/2 a))) (pow (log (* z (+ x y))) 2)) (* (log (* z (+ x y))) (- (* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (+ 1/2 a))) (* -1 (log (* z (+ x y)))))))) (pow t 3))) (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))) (/ (pow (log (* z (+ x y))) 2) (pow t 2))))) (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (/ (* (log (* z (+ x y))) (- (* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (+ 1/2 a))) (* -1 (log (* z (+ x y)))))) (pow t 2)))))) |
(* (pow t 2) (+ (* -1 (+ 1/2 a)) (* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) t)))) |
(* (pow t 2) (+ (* -1 (+ 1/2 a)) (+ (* -1 (/ (* (log (* z (+ x y))) (* (log (/ 1 t)) (- (pow a 2) 1/4))) (pow t 2))) (+ (* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) t)) (/ (* (pow (log (* z (+ x y))) 2) (+ 1/2 a)) (pow t 2)))))) |
(log (* z (* (exp (* -1 (* (log (/ 1 t)) (- a 1/2)))) (+ x y)))) |
(* z (* (exp (* -1 (* (log (/ 1 t)) (- a 1/2)))) (+ x y))) |
(* t (- (* -1 (/ (+ (* -1 (log (* z (+ x y)))) (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (+ 1/2 a))) t)) 1)) |
(- (* -1 (/ (+ (* -1 (log (* z (+ x y)))) (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (+ 1/2 a))) t)) 1) |
(- (* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))) 1) |
(+ (log z) (* -1 (* (log (/ 1 t)) (- a 1/2)))) |
(/ (* (log (/ 1 t)) (- a 1/2)) t) |
(exp (* -1 (* (log (/ 1 t)) (- a 1/2)))) |
(* -1 (/ (* (log (/ 1 t)) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))) |
(* -1 (/ (log (/ 1 t)) t)) |
(* t (- (/ (log y) t) 1)) |
(- (* -1 (/ (+ (* -1 (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) (* -1 (+ (log y) (log z)))) t)) 1) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (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 -1) (* -1 (log (/ -1 t)))) (- a 1/2)) t)) (* -1 (/ (+ (log y) (log z)) t)))))) |
(* -1 (* t (+ 1 (* -1 (/ (- (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a)) (* -1 (log (* z (+ x y))))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ (* (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4))) (* (pow (log (* z (+ x y))) 2) (+ 1/2 a))) (+ 1/2 a))) (* -1 (* (log (* z (+ x y))) (- (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a)) (* -1 (log (* z (+ x y)))))))) t)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a))) (* -1 (log (* z (+ x y))))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log (* z (+ x y))) (- (* -1 (/ (+ (* (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4))) (* (pow (log (* z (+ x y))) 2) (+ 1/2 a))) (+ 1/2 a))) (* -1 (* (log (* z (+ x y))) (- (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a)) (* -1 (log (* z (+ x y))))))))) t)) (* -1 (/ (+ (* (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4))) (* (pow (log (* z (+ x y))) 2) (+ 1/2 a))) (+ 1/2 a)))) (* -1 (* (log (* z (+ x y))) (- (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a)) (* -1 (log (* z (+ x y)))))))) t)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a))) (* -1 (log (* z (+ x y))))) t))))) |
(* (pow t 2) (+ (* -1 (+ 1/2 a)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) t))) |
(* (pow t 2) (+ (* -1 (+ 1/2 a)) (* -1 (/ (+ (* -1 (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4))) (* -1 (/ (+ (* (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4))) (* (pow (log (* z (+ x y))) 2) (+ 1/2 a))) t))) t)))) |
(log (* z (* (exp (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) (+ x y)))) |
(* z (* (exp (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) (+ x y))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log (* z (+ x y))) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (+ 1/2 a))) t))))) |
(- (+ (/ (log (* z (+ x y))) t) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (* t (+ 1/2 a)))) 1) |
(- (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (* t (+ 1/2 a))) 1) |
(+ (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) |
(* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) t)) |
(exp (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- (pow a 2) 1/4)) (* t (+ 1/2 a))) |
(/ (+ (log -1) (* -1 (log (/ -1 t)))) t) |
(* -1 (* t (+ 1 (* -1 (/ (log y) t))))) |
(- (+ (* -1/2 (/ (log t) t)) (+ (/ (log y) t) (/ (log z) t))) 1) |
(- (+ (* -1/2 (/ (log t) t)) (+ (/ (log y) t) (+ (/ (log z) t) (/ (* a (log t)) t)))) 1) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) |
(- (+ (log y) (+ (log z) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(* t (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log y) t) (/ (log z) t))) 1)) |
(+ (* a (log t)) (* t (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log y) t) (/ (log z) t))) 1))) |
(* -1/2 (pow t 2)) |
(+ (* -1 (* a (pow t 2))) (* -1/2 (pow t 2))) |
(* 2 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) |
(+ (* 2 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* a (- (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))) |
(+ (* 2 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* a (- (+ (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* a (- (* 2 (log t)) (* 2 (- (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))) |
(+ (* 2 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* a (- (+ (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* a (- (+ (* -2 (* a (- (* 2 (log t)) (* 2 (- (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))))) (* 2 (log t))) (* 2 (- (* 2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y)))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))))) (* 4 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y))))))))) |
(+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) |
(+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2))) (* a (- (pow (log (* z (+ x y))) 2) (pow t 2))))) |
(+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2))) (* a (- (+ (* a (* (log t) (+ t (log (* z (+ x y)))))) (pow (log (* z (+ x y))) 2)) (pow t 2))))) |
(log (* (sqrt (/ 1 t)) (* z (+ x y)))) |
(+ (log (* (sqrt (/ 1 t)) (* z (+ x y)))) (* a (log t))) |
(+ (log (* (sqrt (/ 1 t)) (* z (+ x y)))) (* a (+ (log t) (* 1/2 (* a (+ (* -1 (pow (log t) 2)) (pow (log t) 2))))))) |
(+ (log (* (sqrt (/ 1 t)) (* z (+ x y)))) (* a (+ (log t) (* a (+ (* 1/6 (* a (+ (* -3 (pow (log t) 3)) (+ (* 2 (pow (log t) 3)) (pow (log t) 3))))) (* 1/2 (+ (* -1 (pow (log t) 2)) (pow (log t) 2)))))))) |
(* (sqrt (/ 1 t)) (* z (+ x y))) |
(+ (* (sqrt (/ 1 t)) (* z (+ x y))) (* (* a (* z (* (log t) (+ x y)))) (sqrt (/ 1 t)))) |
(+ (* a (+ (* 1/2 (* (* a (* z (* (pow (log t) 2) (+ x y)))) (sqrt (/ 1 t)))) (* (sqrt (/ 1 t)) (* z (* (log t) (+ x y)))))) (* (sqrt (/ 1 t)) (* z (+ x y)))) |
(+ (* a (+ (* a (+ (* 1/6 (* (* a (* z (* (pow (log t) 3) (+ x y)))) (sqrt (/ 1 t)))) (* 1/2 (* (sqrt (/ 1 t)) (* z (* (pow (log t) 2) (+ x y))))))) (* (sqrt (/ 1 t)) (* z (* (log t) (+ x y)))))) (* (sqrt (/ 1 t)) (* z (+ x y)))) |
(* -1 (* t (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t)))))) |
(+ (* -1 (* t (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t)))))) (* a (log t))) |
(* -1 (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t))))) |
(- (/ (* a (log t)) t) (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t))))) |
(* -1 (+ 1 (* 1/2 (/ (log t) t)))) |
(- (/ (* a (log t)) t) (+ 1 (* 1/2 (/ (log t) t)))) |
(+ (log z) (* -1/2 (log t))) |
(+ (log z) (+ (* -1/2 (log t)) (* a (log t)))) |
-1/2 |
(- a 1/2) |
(* 1/2 (/ (log t) t)) |
(+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t))) |
(sqrt (/ 1 t)) |
(+ (sqrt (/ 1 t)) (* (* a (log t)) (sqrt (/ 1 t)))) |
(+ (sqrt (/ 1 t)) (* a (+ (* 1/2 (* (* a (pow (log t) 2)) (sqrt (/ 1 t)))) (* (sqrt (/ 1 t)) (log t))))) |
(+ (sqrt (/ 1 t)) (* a (+ (* a (+ (* 1/6 (* (* a (pow (log t) 3)) (sqrt (/ 1 t)))) (* 1/2 (* (sqrt (/ 1 t)) (pow (log t) 2))))) (* (sqrt (/ 1 t)) (log t))))) |
(* -1/2 (/ (log t) t)) |
(- (/ (* a (log t)) t) (* 1/2 (/ (log t) t))) |
(/ (* a (log t)) t) |
(* a (- (+ (* -1/2 (/ (log t) (* a t))) (+ (/ (log t) t) (+ (/ (log y) (* a t)) (/ (log z) (* a t))))) (/ 1 a))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a))) |
(* a (+ (log t) (/ (* t (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log y) t) (/ (log z) t))) 1)) a))) |
(* -1 (* a (pow t 2))) |
(* a (+ (* -1 (pow t 2)) (* -1/2 (/ (pow t 2) a)))) |
(* a (- (+ (log t) (/ (pow (log (* z (+ x y))) 2) (* a (+ t (log (* z (+ x y))))))) (+ (* 1/2 (/ (log t) a)) (/ (pow t 2) (* a (+ t (log (* z (+ x y))))))))) |
(* a (- (+ (log t) (+ (* -1/4 (/ (log t) (pow a 2))) (+ (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (* (pow a 2) (+ t (log (* z (+ x y))))))) (/ (pow (log (* z (+ x y))) 2) (* a (+ t (log (* z (+ x y))))))))) (+ (* 1/2 (/ (log t) a)) (+ (* 1/2 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) (pow a 2))) (/ (pow t 2) (* a (+ t (log (* z (+ x y)))))))))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (- (+ (* -1/4 (log t)) (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y))))))) (* 1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) (pow a 3))) (+ (* -1/4 (/ (log t) (pow a 2))) (+ (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (* (pow a 2) (+ t (log (* z (+ x y))))))) (/ (pow (log (* z (+ x y))) 2) (* a (+ t (log (* z (+ x y)))))))))) (+ (* 1/2 (/ (log t) a)) (+ (* 1/2 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) (pow a 2))) (/ (pow t 2) (* a (+ t (log (* z (+ x y)))))))))) |
(* (pow a 2) (* (log t) (+ t (log (* z (+ x y)))))) |
(* (pow a 2) (- (+ (* (log t) (+ t (log (* z (+ x y))))) (/ (pow (log (* z (+ x y))) 2) a)) (/ (pow t 2) a))) |
(* (pow a 2) (- (+ (* -1/4 (/ (* (log t) (+ t (log (* z (+ x y))))) (pow a 2))) (+ (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (pow a 2))) (+ (* (log t) (+ t (log (* z (+ x y))))) (/ (pow (log (* z (+ x y))) 2) a)))) (/ (pow t 2) a))) |
(* a (+ (log t) (* -1 (/ (* t (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t))))) a)))) |
(* a (- (* -1 (/ (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t)))) a)) (* -1 (/ (log t) t)))) |
(* a (- (* -1 (/ (+ 1 (* 1/2 (/ (log t) t))) a)) (* -1 (/ (log t) t)))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log z) a)))) |
a |
(* a (- 1 (* 1/2 (/ 1 a)))) |
(* -1 (/ (* a (log t)) t)) |
(* a (+ (* -1 (/ (log t) t)) (* 1/2 (/ (log t) (* a t))))) |
(* a (- (* -1/2 (/ (log t) (* a t))) (* -1 (/ (log t) t)))) |
(* -1 (* a (+ (* -1 (/ (log t) t)) (* -1 (/ (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log y) t) (/ (log z) t))) 1) 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 y) (+ (log z) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log y) t) (/ (log z) t))) 1)) a))))) |
(* -1 (* a (+ (* 1/2 (/ (pow t 2) a)) (pow t 2)))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a)) (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (/ (- (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a)) (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (- (pow (log (* z (+ x y))) 2) (pow t 2))) (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) a))) a)) (* (log t) (+ t (log (* z (+ x y))))))) |
(log (* z (* (exp (* -1 (* (log t) (+ 1/2 (* -1 a))))) (+ x y)))) |
(* z (* (exp (* -1 (* (log t) (+ 1/2 (* -1 a))))) (+ x y))) |
(* -1 (* a (+ (* -1 (log t)) (/ (* t (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t))))) a)))) |
(* -1 (* a (- (+ (* -1 (/ (log (* z (+ x y))) (* a t))) (+ (* 1/2 (/ (log t) (* a t))) (/ 1 a))) (/ (log t) t)))) |
(* -1 (* a (- (+ (* 1/2 (/ (log t) (* a t))) (/ 1 a)) (/ (log t) t)))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log z) (* -1/2 (log t))) a))))) |
(* -1 (* a (- (* 1/2 (/ 1 a)) 1))) |
(* -1 (* a (+ (* -1/2 (/ (log t) (* a t))) (/ (log t) t)))) |
(exp (* -1 (* (log t) (+ 1/2 (* -1 a))))) |
(* -1 (* a (- (* 1/2 (/ (log t) (* a t))) (/ (log t) t)))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 207.0ms | t | @ | 0 | ((+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (* t (+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1))) (* (neg (* t t)) (+ 1/2 a)) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (neg (* t t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log (* (+ y x) (* (pow t (+ -1/2 a)) z))) (* (+ y x) (* (pow t (+ -1/2 a)) z)) (+ y x) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (* t (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t))) (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t)) (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (+ (* (+ -1/2 a) (log t)) (log z)) (+ -1/2 a) (+ (log y) (log z)) (* (neg (log t)) (/ (- a 1/2) t)) (/ (+ (log y) (log z)) t) (log (* z (+ y x))) (pow t (+ -1/2 a)) (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (log (* z (+ x y))) (/ (log t) t) (- (log y) t)) |
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| 71.0ms | z | @ | -inf | ((+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (* t (+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1))) (* (neg (* t t)) (+ 1/2 a)) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (neg (* t t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log (* (+ y x) (* (pow t (+ -1/2 a)) z))) (* (+ y x) (* (pow t (+ -1/2 a)) z)) (+ y x) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (* t (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t))) (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t)) (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (+ (* (+ -1/2 a) (log t)) (log z)) (+ -1/2 a) (+ (log y) (log z)) (* (neg (log t)) (/ (- a 1/2) t)) (/ (+ (log y) (log z)) t) (log (* z (+ y x))) (pow t (+ -1/2 a)) (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (log (* z (+ x y))) (/ (log t) t) (- (log y) t)) |
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| 68.0ms | z | @ | 0 | ((+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (* t (+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1))) (* (neg (* t t)) (+ 1/2 a)) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (neg (* t t)) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log (* (+ y x) (* (pow t (+ -1/2 a)) z))) (* (+ y x) (* (pow t (+ -1/2 a)) z)) (+ y x) (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (* t (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t))) (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t)) (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (+ (* (+ -1/2 a) (log t)) (log z)) (+ -1/2 a) (+ (log y) (log z)) (* (neg (log t)) (/ (- a 1/2) t)) (/ (+ (log y) (log z)) t) (log (* z (+ y x))) (pow t (+ -1/2 a)) (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (log (* z (+ x y))) (/ (log t) t) (- (log y) t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1925 | 20449 |
| 1 | 7016 | 20142 |
| 0 | 8774 | 19434 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
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(+ (log (* (sqrt (/ 1 t)) (* z (+ x y)))) (* a (log t))) |
(+ (log (* (sqrt (/ 1 t)) (* z (+ x y)))) (* a (+ (log t) (* 1/2 (* a (+ (* -1 (pow (log t) 2)) (pow (log t) 2))))))) |
(+ (log (* (sqrt (/ 1 t)) (* z (+ x y)))) (* a (+ (log t) (* a (+ (* 1/6 (* a (+ (* -3 (pow (log t) 3)) (+ (* 2 (pow (log t) 3)) (pow (log t) 3))))) (* 1/2 (+ (* -1 (pow (log t) 2)) (pow (log t) 2)))))))) |
(* (sqrt (/ 1 t)) (* z (+ x y))) |
(+ (* (sqrt (/ 1 t)) (* z (+ x y))) (* (* a (* z (* (log t) (+ x y)))) (sqrt (/ 1 t)))) |
(+ (* a (+ (* 1/2 (* (* a (* z (* (pow (log t) 2) (+ x y)))) (sqrt (/ 1 t)))) (* (sqrt (/ 1 t)) (* z (* (log t) (+ x y)))))) (* (sqrt (/ 1 t)) (* z (+ x y)))) |
(+ (* a (+ (* a (+ (* 1/6 (* (* a (* z (* (pow (log t) 3) (+ x y)))) (sqrt (/ 1 t)))) (* 1/2 (* (sqrt (/ 1 t)) (* z (* (pow (log t) 2) (+ x y))))))) (* (sqrt (/ 1 t)) (* z (* (log t) (+ x y)))))) (* (sqrt (/ 1 t)) (* z (+ x y)))) |
(* -1 (* t (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t)))))) |
(+ (* -1 (* t (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t)))))) (* a (log t))) |
(* -1 (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t))))) |
(- (/ (* a (log t)) t) (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t))))) |
(* -1 (+ 1 (* 1/2 (/ (log t) t)))) |
(- (/ (* a (log t)) t) (+ 1 (* 1/2 (/ (log t) t)))) |
(+ (log z) (* -1/2 (log t))) |
(+ (log z) (+ (* -1/2 (log t)) (* a (log t)))) |
-1/2 |
(- a 1/2) |
(* 1/2 (/ (log t) t)) |
(+ (* -1 (/ (* a (log t)) t)) (* 1/2 (/ (log t) t))) |
(sqrt (/ 1 t)) |
(+ (sqrt (/ 1 t)) (* (* a (log t)) (sqrt (/ 1 t)))) |
(+ (sqrt (/ 1 t)) (* a (+ (* 1/2 (* (* a (pow (log t) 2)) (sqrt (/ 1 t)))) (* (sqrt (/ 1 t)) (log t))))) |
(+ (sqrt (/ 1 t)) (* a (+ (* a (+ (* 1/6 (* (* a (pow (log t) 3)) (sqrt (/ 1 t)))) (* 1/2 (* (sqrt (/ 1 t)) (pow (log t) 2))))) (* (sqrt (/ 1 t)) (log t))))) |
(* -1/2 (/ (log t) t)) |
(- (/ (* a (log t)) t) (* 1/2 (/ (log t) t))) |
(/ (* a (log t)) t) |
(* a (- (+ (* -1/2 (/ (log t) (* a t))) (+ (/ (log t) t) (+ (/ (log y) (* a t)) (/ (log z) (* a t))))) (/ 1 a))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a)))) (/ t a))) |
(* a (+ (log t) (/ (* t (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log y) t) (/ (log z) t))) 1)) a))) |
(* -1 (* a (pow t 2))) |
(* a (+ (* -1 (pow t 2)) (* -1/2 (/ (pow t 2) a)))) |
(* a (- (+ (log t) (/ (pow (log (* z (+ x y))) 2) (* a (+ t (log (* z (+ x y))))))) (+ (* 1/2 (/ (log t) a)) (/ (pow t 2) (* a (+ t (log (* z (+ x y))))))))) |
(* a (- (+ (log t) (+ (* -1/4 (/ (log t) (pow a 2))) (+ (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (* (pow a 2) (+ t (log (* z (+ x y))))))) (/ (pow (log (* z (+ x y))) 2) (* a (+ t (log (* z (+ x y))))))))) (+ (* 1/2 (/ (log t) a)) (+ (* 1/2 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) (pow a 2))) (/ (pow t 2) (* a (+ t (log (* z (+ x y)))))))))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (- (+ (* -1/4 (log t)) (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (+ t (log (* z (+ x y))))))) (* 1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) (pow a 3))) (+ (* -1/4 (/ (log t) (pow a 2))) (+ (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (* (pow a 2) (+ t (log (* z (+ x y))))))) (/ (pow (log (* z (+ x y))) 2) (* a (+ t (log (* z (+ x y)))))))))) (+ (* 1/2 (/ (log t) a)) (+ (* 1/2 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) (pow a 2))) (/ (pow t 2) (* a (+ t (log (* z (+ x y)))))))))) |
(* (pow a 2) (* (log t) (+ t (log (* z (+ x y)))))) |
(* (pow a 2) (- (+ (* (log t) (+ t (log (* z (+ x y))))) (/ (pow (log (* z (+ x y))) 2) a)) (/ (pow t 2) a))) |
(* (pow a 2) (- (+ (* -1/4 (/ (* (log t) (+ t (log (* z (+ x y))))) (pow a 2))) (+ (* 1/2 (/ (- (pow (log (* z (+ x y))) 2) (pow t 2)) (pow a 2))) (+ (* (log t) (+ t (log (* z (+ x y))))) (/ (pow (log (* z (+ x y))) 2) a)))) (/ (pow t 2) a))) |
(* a (+ (log t) (* -1 (/ (* t (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t))))) a)))) |
(* a (- (* -1 (/ (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t)))) a)) (* -1 (/ (log t) t)))) |
(* a (- (* -1 (/ (+ 1 (* 1/2 (/ (log t) t))) a)) (* -1 (/ (log t) t)))) |
(* a (+ (log t) (+ (* -1/2 (/ (log t) a)) (/ (log z) a)))) |
a |
(* a (- 1 (* 1/2 (/ 1 a)))) |
(* -1 (/ (* a (log t)) t)) |
(* a (+ (* -1 (/ (log t) t)) (* 1/2 (/ (log t) (* a t))))) |
(* a (- (* -1/2 (/ (log t) (* a t))) (* -1 (/ (log t) t)))) |
(* -1 (* a (+ (* -1 (/ (log t) t)) (* -1 (/ (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log y) t) (/ (log z) t))) 1) 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 y) (+ (log z) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (* t (- (+ (* -1/2 (/ (log t) t)) (+ (/ (log y) t) (/ (log z) t))) 1)) a))))) |
(* -1 (* a (+ (* 1/2 (/ (pow t 2) a)) (pow t 2)))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a)) (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (/ (- (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a)) (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (- (pow (log (* z (+ x y))) 2) (pow t 2))) (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) a))) a)) (* (log t) (+ t (log (* z (+ x y))))))) |
(log (* z (* (exp (* -1 (* (log t) (+ 1/2 (* -1 a))))) (+ x y)))) |
(* z (* (exp (* -1 (* (log t) (+ 1/2 (* -1 a))))) (+ x y))) |
(* -1 (* a (+ (* -1 (log t)) (/ (* t (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t))))) a)))) |
(* -1 (* a (- (+ (* -1 (/ (log (* z (+ x y))) (* a t))) (+ (* 1/2 (/ (log t) (* a t))) (/ 1 a))) (/ (log t) t)))) |
(* -1 (* a (- (+ (* 1/2 (/ (log t) (* a t))) (/ 1 a)) (/ (log t) t)))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log z) (* -1/2 (log t))) a))))) |
(* -1 (* a (- (* 1/2 (/ 1 a)) 1))) |
(* -1 (* a (+ (* -1/2 (/ (log t) (* a t))) (/ (log t) t)))) |
(exp (* -1 (* (log t) (+ 1/2 (* -1 a))))) |
(* -1 (* a (- (* 1/2 (/ (log t) (* a t))) (/ (log t) t)))) |
| Outputs |
|---|
(- (+ (log y) (+ (log z) (* (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 y)) t) |
(- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(-.f64 (+.f64 (+.f64 (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (/.f64 x y)) (log.f64 z)) (log.f64 y)) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(-.f64 (+.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (log.f64 z)) (log.f64 y)) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(-.f64 (+.f64 (+.f64 (log.f64 y) (log.f64 z)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) t) |
(/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (+ 1/2 a) (+ t (log (* y z))))) |
(/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 (log.f64 (*.f64 z y)) t)) (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 (log.f64 (*.f64 z y)) t) (+.f64 #s(literal 1/2 binary64) a))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
(fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)) (/.f64 (-.f64 (/.f64 (*.f64 a a) y) (/.f64 #s(literal 1/4 binary64) y)) (+.f64 (log.f64 (*.f64 z y)) t)) (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 z y))) (*.f64 (+.f64 (log.f64 (*.f64 z y)) t) y))) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) a) y) (pow.f64 (+.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (log.f64 t) (+.f64 (log.f64 (*.f64 z y)) t)) (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (pow.f64 (+.f64 (log.f64 (*.f64 z y)) t) #s(literal 2 binary64))))) x (fma.f64 (log.f64 t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 (log.f64 (*.f64 z y)) t)))) |
(+ (* x (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (+ (* x (- (+ (* -1 (/ (log (* y z)) (* (pow y 2) (+ t (log (* y z)))))) (+ (* -1/2 (/ (* (log t) (- (pow a 2) 1/4)) (* (pow y 2) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ 1 (* (pow y 2) (+ t (log (* y z))))))) (+ (* -1/2 (/ (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2)))) (* (pow y 2) (* (+ 1/2 a) (pow (+ t (log (* y z))) 2))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (- (+ (* 2 (/ (log (* y z)) (* y (+ t (log (* y z)))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z)))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (* (+ 1/2 a) (+ t (log (* y z)))))))) (/ (* (log t) (- (/ (pow a 2) y) (* 1/4 (/ 1 y)))) (* (+ 1/2 a) (+ t (log (* y z))))))) (/ (* (+ (* 1/2 (/ 1 y)) (/ a y)) (+ (* (log t) (* (+ t (log (* y z))) (- (pow a 2) 1/4))) (* (+ 1/2 a) (- (pow (log (* y z)) 2) (pow t 2))))) (* (pow (+ 1/2 a) 2) (pow (+ t (log (* y z))) 2))))) (+ (/ (* (log t) (- (pow a 2) 1/4)) (+ 1/2 a)) (/ (- (pow (log (* y z)) 2) (pow t 2)) (+ t (log (* y z)))))) |
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(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (/ (- (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) (+ t (log (* z (+ x y)))))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a))) (* -1/2 (- (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))))) a)) (/ (pow (log (* z (+ x y))) 2) (+ t (log (* z (+ x y)))))) (+ (* 1/2 (log t)) (/ (pow t 2) (+ t (log (* z (+ x y))))))) a))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) (/.f64 (*.f64 t t) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) #s(literal 1/2 binary64))) a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) (*.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) (/.f64 (*.f64 t t) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)))) #s(literal -1/2 binary64))) a) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) (fma.f64 (log.f64 t) #s(literal 1/2 binary64) (/.f64 (*.f64 t t) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))))) a) #s(literal -1 binary64) (neg.f64 (log.f64 t)))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (- (pow (log (* z (+ x y))) 2) (pow t 2))) (* -1 (/ (+ (* -1/4 (* (log t) (+ t (log (* z (+ x y)))))) (* 1/2 (- (pow (log (* z (+ x y))) 2) (pow t 2)))) a))) a)) (* (log t) (+ t (log (* z (+ x y))))))) |
(*.f64 (fma.f64 (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (log.f64 t) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 t)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t))) a) #s(literal -1 binary64) (neg.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t)))) a))) (*.f64 a a)) |
(log (* z (* (exp (* -1 (* (log t) (+ 1/2 (* -1 a))))) (+ x y)))) |
(log.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) t) (fma.f64 #s(literal -1 binary64) a #s(literal 1/2 binary64))) (+.f64 x y)) z)) |
(* z (* (exp (* -1 (* (log t) (+ 1/2 (* -1 a))))) (+ x y))) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) t) (fma.f64 #s(literal -1 binary64) a #s(literal 1/2 binary64))) (+.f64 x y)) z) |
(* -1 (* a (+ (* -1 (log t)) (/ (* t (+ 1 (+ (* -1 (/ (log (* z (+ x y))) t)) (* 1/2 (/ (log t) t))))) a)))) |
(*.f64 (neg.f64 a) (fma.f64 t (/.f64 (+.f64 (/.f64 (fma.f64 (log.f64 t) #s(literal 1/2 binary64) (neg.f64 (log.f64 (*.f64 (+.f64 x y) z)))) t) #s(literal 1 binary64)) a) (neg.f64 (log.f64 t)))) |
(* -1 (* a (- (+ (* -1 (/ (log (* z (+ x y))) (* a t))) (+ (* 1/2 (/ (log t) (* a t))) (/ 1 a))) (/ (log t) t)))) |
(*.f64 (neg.f64 a) (-.f64 (+.f64 (/.f64 (fma.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal -1 binary64) (*.f64 (log.f64 t) #s(literal 1/2 binary64))) (*.f64 a t)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (log.f64 t) t))) |
(* -1 (* a (- (+ (* 1/2 (/ (log t) (* a t))) (/ 1 a)) (/ (log t) t)))) |
(*.f64 (neg.f64 a) (-.f64 (fma.f64 (/.f64 (/.f64 (log.f64 t) a) t) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) a)) (/.f64 (log.f64 t) t))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (+ (log z) (* -1/2 (log t))) a))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (log.f64 z)) a) #s(literal -1 binary64) (neg.f64 (log.f64 t)))) |
(* -1 (* a (- (* 1/2 (/ 1 a)) 1))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))) |
(* -1 (* a (+ (* -1/2 (/ (log t) (* a t))) (/ (log t) t)))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (/.f64 (log.f64 t) a) t) #s(literal -1/2 binary64) (/.f64 (log.f64 t) t))) |
(exp (* -1 (* (log t) (+ 1/2 (* -1 a))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) t) (fma.f64 #s(literal -1 binary64) a #s(literal 1/2 binary64))) |
(* -1 (* a (- (* 1/2 (/ (log t) (* a t))) (/ (log t) t)))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) (*.f64 a t)) (/.f64 (log.f64 t) t))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 611 |
| 0 | 140 | 572 |
| 1 | 576 | 548 |
| 2 | 4596 | 543 |
| 0 | 8090 | 536 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)))))) |
#s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64))))) |
(*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
#s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) |
(neg.f64 (*.f64 t t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
(log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z))) |
(*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)) |
(+.f64 y x) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
(*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t))) |
(-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)) |
(-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) |
(+.f64 #s(literal -1/2 binary64) a) |
(+.f64 (log.f64 y) (log.f64 z)) |
(*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) |
(/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) |
(log.f64 (*.f64 z (+.f64 y x))) |
(pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) |
#s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) |
(log.f64 (*.f64 z (+.f64 x y))) |
(/.f64 (log.f64 t) t) |
#s(approx (- (log y) t) (log.f64 y)) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 z y)) t)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 z y)) t)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) (*.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 z y)) t)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 z y)) t)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 z y)) t)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) (-.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) (*.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) (-.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) (*.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 t)) t)) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (neg.f64 (log.f64 t)) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 a #s(literal 1/2 binary64))) (/.f64 (neg.f64 (log.f64 t)) t) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (neg.f64 (log.f64 t)) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (-.f64 a #s(literal 1/2 binary64))) (/.f64 (neg.f64 (log.f64 t)) t) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (neg.f64 (log.f64 t)) t) (neg.f64 (-.f64 a #s(literal 1/2 binary64))) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (neg.f64 (log.f64 t))) #s(literal -1 binary64) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) #s(literal -1 binary64)) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (/.f64 (log.f64 t) t) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (log.f64 t)) (*.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) #s(literal -1 binary64)) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (log.f64 t)) (neg.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) |
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(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #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 (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 (log.f64 (+.f64 x y)) (log.f64 z)) |
(+.f64 (log.f64 z) (log.f64 (+.f64 x y))) |
(log.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(*.f64 (pow.f64 (pow.f64 t #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))) (pow.f64 (pow.f64 t #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 t)) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))) (pow.f64 (neg.f64 (neg.f64 t)) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 t)) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 t)) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fabs.f64 (fabs.f64 t)) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))) (pow.f64 (fabs.f64 (fabs.f64 t)) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 t) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))) (pow.f64 (neg.f64 t) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fabs.f64 t) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))) (pow.f64 (fabs.f64 t) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 t #s(literal 1 binary64)) (/.f64 #s(literal -1/8 binary64) (fma.f64 a (-.f64 a #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) (pow.f64 (pow.f64 t #s(literal 1 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (-.f64 a #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 (*.f64 t t) (/.f64 a #s(literal 2 binary64))) (pow.f64 (*.f64 t t) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 t t) #s(literal -1/4 binary64)) (pow.f64 (*.f64 t t) (/.f64 a #s(literal 2 binary64)))) |
(*.f64 (pow.f64 t (/.f64 #s(literal -1/8 binary64) (fma.f64 a (-.f64 a #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) (pow.f64 t (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (-.f64 a #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 (pow.f64 t #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 t #s(literal 1 binary64)) a)) |
(*.f64 (pow.f64 (pow.f64 t #s(literal 1 binary64)) a) (pow.f64 (pow.f64 t #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 t (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) (neg.f64 (pow.f64 t (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 t (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 t (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 t (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))) (pow.f64 t (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 t a) (pow.f64 t #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (pow.f64 t a)) |
(pow.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1/2 binary64) a)) (neg.f64 (log.f64 t))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1/2 binary64) a)) #s(literal -1 binary64)) (neg.f64 (log.f64 t))) |
(pow.f64 (neg.f64 (pow.f64 t (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 t (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (+.f64 #s(literal -1/2 binary64) a)) (log.f64 t)) |
(pow.f64 (pow.f64 t #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) a)) |
(pow.f64 (pow.f64 t (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 t) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) |
(pow.f64 (fabs.f64 t) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 t t) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))) |
(pow.f64 t (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 t (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) |
(pow.f64 t (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) |
(pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) |
(/.f64 (pow.f64 (pow.f64 t #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) a))) (pow.f64 (pow.f64 t #s(literal 1 binary64)) (/.f64 (*.f64 a a) (-.f64 #s(literal -1/2 binary64) a)))) |
(/.f64 (pow.f64 t (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) a))) (pow.f64 t (/.f64 (*.f64 a a) (-.f64 #s(literal -1/2 binary64) a)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 t) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 #s(literal -1/2 binary64) a))) (log.f64 t))) |
(exp.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (log.f64 t)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 t)) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 t) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 t) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) a) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))) |
(+.f64 (cosh.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))) (sinh.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)))) |
(*.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 (/.f64 (log.f64 t) t) a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 (/.f64 (log.f64 t) t) a))) |
#s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 (/.f64 (log.f64 t) t) a)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64))) (log.f64 (/.f64 z (+.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 (+.f64 x y) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y))) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (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 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (fma.f64 (log.f64 z) (log.f64 z) (-.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x y)) (log.f64 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)))) |
(neg.f64 (neg.f64 (log.f64 (*.f64 (+.f64 x y) z)))) |
(-.f64 (log.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) z)) (log.f64 (-.f64 x y))) |
(-.f64 (log.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z)) (log.f64 (-.f64 y x))) |
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z)) (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z)) (log.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(-.f64 (log.f64 (*.f64 z (*.f64 (+.f64 x y) (-.f64 x y)))) (log.f64 (-.f64 x y))) |
(-.f64 (log.f64 (*.f64 z (*.f64 (+.f64 x y) (-.f64 y x)))) (log.f64 (-.f64 y x))) |
(-.f64 (log.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(-.f64 (log.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (log.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (log.f64 (-.f64 (*.f64 x z) (*.f64 z y)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) (log.f64 (-.f64 (*.f64 z y) (*.f64 x z)))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 z y)))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 x 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 #s(literal 0 binary64) (neg.f64 (log.f64 (*.f64 (+.f64 x y) z)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #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 (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 (log.f64 (+.f64 x y)) (log.f64 z)) |
(+.f64 (log.f64 z) (log.f64 (+.f64 x y))) |
(log.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(log.f64 (*.f64 (+.f64 x y) z)) |
(/.f64 (neg.f64 (log.f64 t)) (neg.f64 t)) |
(/.f64 (log.f64 t) (neg.f64 (neg.f64 t))) |
(/.f64 (log.f64 t) t) |
(neg.f64 (/.f64 (neg.f64 (log.f64 t)) t)) |
#s(approx (- (log y) t) (log.f64 y)) |
Compiled 63 519 to 4 810 computations (92.4% saved)
25 alts after pruning (19 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 802 | 11 | 813 |
| Fresh | 6 | 8 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 811 | 25 | 836 |
| Status | Accuracy | Program |
|---|---|---|
| 15.3% | (/.f64 (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) a) t) (neg.f64 t))) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) | |
| 12.0% | (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) #s(approx (* (neg (* t t)) (+ 1/2 a)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) | |
| 73.4% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) | |
| 58.6% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+.f64 (+.f64 (log.f64 (*.f64 z (+.f64 x y))) (neg.f64 t)) (/.f64 (*.f64 (log.f64 t) (-.f64 (*.f64 a a) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) a)))) | |
| 16.4% | #s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t #s(approx (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t)) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 (*.f64 z x)) t) (/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) #s(literal 1 binary64)))))) | |
| ✓ | 77.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
| 61.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (+.f64 #s(approx (- (log y) t) (log.f64 y)) (log.f64 z)))) | |
| 47.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) | |
| 77.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (log.f64 (*.f64 z y)) (-.f64 t (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))))) | |
| ✓ | 61.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
| 23.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) | |
| ✓ | 99.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)))) |
| 69.9% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) #s(literal 1 binary64)) t)) | |
| ✓ | 40.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
| ✓ | 39.0% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
| 4.7% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (pow.f64 t a))) | |
| 16.5% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 #s(approx (pow t (+ -1/2 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) z)))) | |
| 4.9% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 #s(approx (* (+ y x) (* (pow t (+ -1/2 a)) z)) (*.f64 (*.f64 (pow.f64 t (-.f64 a #s(literal 1/2 binary64))) z) x)))) | |
| 66.1% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (fma.f64 (/.f64 (log.f64 t) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) t) (*.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) t)))) | |
| 69.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (fma.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) t (*.f64 (*.f64 t (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t))))) | |
| 69.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 (fma.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) t))) | |
| 69.8% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)))))) | |
| ✓ | 89.6% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)))))) |
| 30.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t #s(approx (+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1)) (*.f64 a (/.f64 (log.f64 t) t)))))) | |
| 47.2% | #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))))) |
Compiled 3 510 to 1 132 computations (67.7% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t #s(approx (+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1)) (*.f64 a (/.f64 (log.f64 t) t)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 #s(approx (pow t (+ -1/2 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) z)))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) #s(approx (* (neg (* t t)) (+ 1/2 a)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) a) t) (neg.f64 t))) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (pow.f64 t a))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 #s(approx (* (+ y x) (* (pow t (+ -1/2 a)) z)) (*.f64 (*.f64 (pow.f64 t (-.f64 a #s(literal 1/2 binary64))) z) x)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (log.f64 (*.f64 z y)) (-.f64 t (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) #s(literal 1 binary64)) t)) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+.f64 (+.f64 (log.f64 (*.f64 z (+.f64 x y))) (neg.f64 t)) (/.f64 (*.f64 (log.f64 t) (-.f64 (*.f64 a a) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 (fma.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (fma.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) t (*.f64 (*.f64 t (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (fma.f64 (/.f64 (log.f64 t) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) t) (*.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t #s(approx (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t)) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 (*.f64 z x)) t) (/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) #s(literal 1 binary64)))))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (+.f64 #s(approx (- (log y) t) (log.f64 y)) (log.f64 z)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) (+.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 #s(literal -1/2 binary64) (log.f64 t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (* (- a 1/2) (log t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z)) t) #s(literal 1 binary64)) t)) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) t (*.f64 t (log.f64 z))) (*.f64 t t)) #s(literal 1 binary64)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t)) (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 z)) t) #s(literal 1 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 #s(approx (/ (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) t) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 t) (+.f64 (log.f64 z) (log.f64 (+.f64 y x)))) t) a) #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 t) t))) a))) #s(literal 1 binary64)) t)) |
(fma.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) (/.f64 (log.f64 t) (*.f64 (+.f64 (log.f64 (*.f64 (+.f64 y x) z)) t) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) a) (+.f64 #s(literal 1/2 binary64) a)) (-.f64 (log.f64 (*.f64 (+.f64 y x) z)) t))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(+.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 y x) z))) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 z) t) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) a) (*.f64 (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)))) (*.f64 (-.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) t)) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))) (*.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 3 binary64))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) (*.f64 (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 y x))) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (*.f64 (fma.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 y x))) (pow.f64 (log.f64 (+.f64 y x)) #s(literal 2 binary64))) (+.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 3 binary64)) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))) (*.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))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))) (pow.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (*.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))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))) (fma.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t) #s(literal 2 binary64))))) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
11 calls:
| 42.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 37.0ms | (log.f64 z) |
| 31.0ms | (log.f64 (+.f64 x y)) |
| 24.0ms | z |
| 17.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
| 99.6% | 1 | (log.f64 z) |
| 99.6% | 1 | (+.f64 x y) |
| 99.6% | 1 | (log.f64 (+.f64 x y)) |
| 99.6% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 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 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | t |
| 99.6% | 1 | a |
Compiled 40 to 75 computations (-87.5% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t #s(approx (+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1)) (*.f64 a (/.f64 (log.f64 t) t)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 #s(approx (pow t (+ -1/2 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) z)))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) #s(approx (* (neg (* t t)) (+ 1/2 a)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) a) t) (neg.f64 t))) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (pow.f64 t a))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 #s(approx (* (+ y x) (* (pow t (+ -1/2 a)) z)) (*.f64 (*.f64 (pow.f64 t (-.f64 a #s(literal 1/2 binary64))) z) x)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (log.f64 (*.f64 z y)) (-.f64 t (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) #s(literal 1 binary64)) t)) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+.f64 (+.f64 (log.f64 (*.f64 z (+.f64 x y))) (neg.f64 t)) (/.f64 (*.f64 (log.f64 t) (-.f64 (*.f64 a a) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 (fma.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (fma.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) t (*.f64 (*.f64 t (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (fma.f64 (/.f64 (log.f64 t) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) t) (*.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t #s(approx (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t)) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 (*.f64 z x)) t) (/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) #s(literal 1 binary64)))))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (+.f64 #s(approx (- (log y) t) (log.f64 y)) (log.f64 z)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) (+.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 #s(literal -1/2 binary64) (log.f64 t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (+.f64 y x))) (log.f64 z))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) #s(approx (* (- a 1/2) (log t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t)))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t))) |
11 calls:
| 73.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| 63.0ms | x |
| 23.0ms | t |
| 21.0ms | (+.f64 x y) |
| 9.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
| 99.5% | 1 | (log.f64 z) |
| 99.5% | 1 | (+.f64 x y) |
| 99.5% | 1 | (log.f64 (+.f64 x y)) |
| 99.5% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 99.5% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | z |
| 99.5% | 1 | t |
| 99.5% | 1 | a |
Compiled 40 to 75 computations (-87.5% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t #s(approx (+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1)) (*.f64 a (/.f64 (log.f64 t) t)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 #s(approx (pow t (+ -1/2 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) z)))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) #s(approx (* (neg (* t t)) (+ 1/2 a)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) a) t) (neg.f64 t))) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (pow.f64 t a))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 #s(approx (* (+ y x) (* (pow t (+ -1/2 a)) z)) (*.f64 (*.f64 (pow.f64 t (-.f64 a #s(literal 1/2 binary64))) z) x)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (log.f64 (*.f64 z y)) (-.f64 t (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) #s(literal 1 binary64)) t)) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+.f64 (+.f64 (log.f64 (*.f64 z (+.f64 x y))) (neg.f64 t)) (/.f64 (*.f64 (log.f64 t) (-.f64 (*.f64 a a) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 (fma.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (fma.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) t (*.f64 (*.f64 t (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (fma.f64 (/.f64 (log.f64 t) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) t) (*.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t #s(approx (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t)) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 (*.f64 z x)) t) (/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) #s(literal 1 binary64)))))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (+.f64 #s(approx (- (log y) t) (log.f64 y)) (log.f64 z)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) (+.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 #s(literal -1/2 binary64) (log.f64 t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)))) |
11 calls:
| 27.0ms | y |
| 26.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| 12.0ms | (log.f64 (+.f64 x y)) |
| 9.0ms | x |
| 9.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
| 99.5% | 1 | (log.f64 z) |
| 99.5% | 1 | (+.f64 x y) |
| 99.5% | 1 | (log.f64 (+.f64 x y)) |
| 99.5% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 99.5% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | z |
| 99.5% | 1 | t |
| 99.5% | 1 | a |
Compiled 40 to 75 computations (-87.5% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t #s(approx (+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1)) (*.f64 a (/.f64 (log.f64 t) t)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 #s(approx (pow t (+ -1/2 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) z)))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) #s(approx (* (neg (* t t)) (+ 1/2 a)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) a) t) (neg.f64 t))) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (pow.f64 t a))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 #s(approx (* (+ y x) (* (pow t (+ -1/2 a)) z)) (*.f64 (*.f64 (pow.f64 t (-.f64 a #s(literal 1/2 binary64))) z) x)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (log.f64 (*.f64 z y)) (-.f64 t (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) #s(literal 1 binary64)) t)) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+.f64 (+.f64 (log.f64 (*.f64 z (+.f64 x y))) (neg.f64 t)) (/.f64 (*.f64 (log.f64 t) (-.f64 (*.f64 a a) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 (fma.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (fma.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) t (*.f64 (*.f64 t (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (fma.f64 (/.f64 (log.f64 t) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) t) (*.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t #s(approx (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t)) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 (*.f64 z x)) t) (/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) #s(literal 1 binary64)))))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (+.f64 #s(approx (- (log y) t) (log.f64 y)) (log.f64 z)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log (+ y x))) (log z)) (+.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 #s(literal -1/2 binary64) (log.f64 t))))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
11 calls:
| 37.0ms | y |
| 12.0ms | z |
| 11.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 11.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| 11.0ms | (log.f64 (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
| 86.7% | 2 | (log.f64 z) |
| 86.7% | 2 | z |
| 79.8% | 2 | (+.f64 x y) |
| 79.8% | 2 | (log.f64 (+.f64 x y)) |
| 92.5% | 3 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 85.4% | 2 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 77.9% | 1 | x |
| 79.8% | 2 | y |
| 89.4% | 3 | t |
| 82.0% | 3 | a |
Compiled 40 to 75 computations (-87.5% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t #s(approx (+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1)) (*.f64 a (/.f64 (log.f64 t) t)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 #s(approx (pow t (+ -1/2 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) z)))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) #s(approx (* (neg (* t t)) (+ 1/2 a)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) a) t) (neg.f64 t))) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (pow.f64 t a))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 #s(approx (* (+ y x) (* (pow t (+ -1/2 a)) z)) (*.f64 (*.f64 (pow.f64 t (-.f64 a #s(literal 1/2 binary64))) z) x)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (log.f64 (*.f64 z y)) (-.f64 t (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 (*.f64 (+.f64 y x) z))) t) #s(literal 1 binary64)) t)) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (+.f64 (+.f64 (log.f64 (*.f64 z (+.f64 x y))) (neg.f64 t)) (/.f64 (*.f64 (log.f64 t) (-.f64 (*.f64 a a) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t (fma.f64 (/.f64 (-.f64 a #s(literal 1/2 binary64)) t) (log.f64 t) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 (fma.f64 (/.f64 (log.f64 t) t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64))) t))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 a (/.f64 (log.f64 t) t))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 #s(approx (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) (*.f64 (/.f64 (log.f64 t) t) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (fma.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) t (*.f64 (*.f64 t (log.f64 t)) (/.f64 (-.f64 a #s(literal 1/2 binary64)) t))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (fma.f64 (/.f64 (log.f64 t) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) t) (*.f64 (-.f64 (/.f64 (log.f64 (*.f64 z y)) t) #s(literal 1 binary64)) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t)) t) (/.f64 (log.f64 (*.f64 (+.f64 y x) z)) t)) #s(literal 1 binary64)) t)) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t #s(approx (- (- (neg (* (/ (neg (log t)) t) (/ (- (* a a) 1/4) (+ 1/2 a)))) 1) (/ (neg (log (* z (+ x y)))) t)) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 (*.f64 z x)) t) (/.f64 (*.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (log.f64 t)) (*.f64 (+.f64 #s(literal 1/2 binary64) a) t))) #s(literal 1 binary64)))))) |
#s(approx (/ (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (* (+ t (log (* z (+ y x)))) (+ 1/2 a))) (*.f64 t (-.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 t)) t) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 x y)))) t)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) |
| Outputs |
|---|
(-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
4 calls:
| 59.0ms | z |
| 8.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 8.0ms | (log.f64 z) |
| 8.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 2 | (log.f64 z) |
| 81.3% | 2 | z |
| 80.0% | 2 | t |
| 85.8% | 2 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
Compiled 11 to 25 computations (-127.3% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t #s(approx (+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1)) (*.f64 a (/.f64 (log.f64 t) t)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 #s(approx (pow t (+ -1/2 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) z)))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) #s(approx (* (neg (* t t)) (+ 1/2 a)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) a) t) (neg.f64 t))) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (pow.f64 t a))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 #s(approx (* (+ y x) (* (pow t (+ -1/2 a)) z)) (*.f64 (*.f64 (pow.f64 t (-.f64 a #s(literal 1/2 binary64))) z) x)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (log.f64 (*.f64 z y)) (-.f64 t (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))))) |
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
| Outputs |
|---|
(fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
1 calls:
| 5.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 2 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
Compiled 7 to 9 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t #s(approx (+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1)) (*.f64 a (/.f64 (log.f64 t) t)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 #s(approx (pow t (+ -1/2 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) z)))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) #s(approx (* (neg (* t t)) (+ 1/2 a)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) a) t) (neg.f64 t))) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (pow.f64 t a))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 #s(approx (* (+ y x) (* (pow t (+ -1/2 a)) z)) (*.f64 (*.f64 (pow.f64 t (-.f64 a #s(literal 1/2 binary64))) z) x)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (-.f64 (log.f64 (*.f64 z y)) (-.f64 t (*.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t))))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
1 calls:
| 5.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 2 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
Compiled 7 to 9 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t #s(approx (+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1)) (*.f64 a (/.f64 (log.f64 t) t)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 #s(approx (pow t (+ -1/2 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) z)))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) #s(approx (* (neg (* t t)) (+ 1/2 a)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) a) t) (neg.f64 t))) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (pow.f64 t a))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 #s(approx (* (+ y x) (* (pow t (+ -1/2 a)) z)) (*.f64 (*.f64 (pow.f64 t (-.f64 a #s(literal 1/2 binary64))) z) x)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
1 calls:
| 4.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 2 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
Compiled 7 to 9 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t #s(approx (+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1)) (*.f64 a (/.f64 (log.f64 t) t)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 #s(approx (pow t (+ -1/2 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) z)))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) #s(approx (* (neg (* t t)) (+ 1/2 a)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) a) t) (neg.f64 t))) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (pow.f64 t a))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 #s(approx (* (+ y x) (* (pow t (+ -1/2 a)) z)) (*.f64 (*.f64 (pow.f64 t (-.f64 a #s(literal 1/2 binary64))) z) x)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 #s(approx (+ -1/2 a) #s(literal -1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 (pow.f64 t (+.f64 #s(literal -1/2 binary64) a)) z)))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
11 calls:
| 37.0ms | t |
| 4.0ms | x |
| 4.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 4.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 4.0ms | (log.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.6% | 3 | x |
| 57.8% | 5 | (+.f64 x y) |
| 57.8% | 5 | (log.f64 (+.f64 x y)) |
| 57.8% | 5 | y |
| 74.0% | 2 | t |
| 73.2% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
| 73.2% | 3 | a |
| 61.6% | 4 | (log.f64 z) |
| 61.6% | 4 | z |
| 72.9% | 3 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 61.0% | 3 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
Compiled 40 to 75 computations (-87.5% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t #s(approx (+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1)) (*.f64 a (/.f64 (log.f64 t) t)))))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 #s(approx (pow t (+ -1/2 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) z)))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) #s(approx (* (neg (* t t)) (+ 1/2 a)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (neg.f64 (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a))) (*.f64 (+.f64 t (log.f64 (*.f64 z (+.f64 y x)))) (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (/.f64 #s(approx (+ (* (- (pow (log (* z (+ y x))) 2) (* t t)) (+ 1/2 a)) (* (+ t (log (* z (+ y x)))) (* (- (* a a) 1/4) (log t)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) a) t) (neg.f64 t))) (+.f64 #s(literal 1/2 binary64) a)) (+.f64 (log.f64 (*.f64 (+.f64 x y) z)) t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (pow.f64 t a))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 #s(approx (pow t (+ -1/2 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) z)))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
4 calls:
| 7.0ms | t |
| 3.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 3.0ms | a |
| 3.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.7% | 3 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 63.6% | 3 | a |
| 63.6% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
| 62.6% | 2 | t |
Compiled 21 to 32 computations (-52.4% saved)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (+ (* (+ -1/2 a) (log t)) (log z)) (- (log y) t)) (*.f64 t #s(approx (+ (* -1 (* (neg (log t)) (/ (- a 1/2) t))) (- (/ (+ (log y) (log z)) t) 1)) (*.f64 a (/.f64 (log.f64 t) t)))))) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
2 calls:
| 2.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 2 | t |
| 56.7% | 2 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
Compiled 17 to 20 computations (-17.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
| Outputs |
|---|
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
11 calls:
| 8.0ms | (log.f64 z) |
| 1.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 1.0ms | (log.f64 (+.f64 x y)) |
| 1.0ms | t |
| 1.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.0% | 1 | x |
| 39.0% | 1 | (+.f64 x y) |
| 39.0% | 1 | (log.f64 (+.f64 x y)) |
| 39.0% | 1 | y |
| 39.0% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 39.0% | 1 | (log.f64 z) |
| 39.0% | 1 | z |
| 39.0% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 39.0% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
| 39.0% | 1 | a |
| 39.0% | 1 | t |
Compiled 40 to 75 computations (-87.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 673.7202627148938 | 673.9998777481306 |
| 0.0ms | -769.8507388867622 | -720.4468787190758 |
Compiled 19 to 23 computations (-21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 673.7202627148938 | 673.9998777481306 |
Compiled 19 to 23 computations (-21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 673.7202627148938 | 673.9998777481306 |
Compiled 19 to 23 computations (-21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 673.7202627148938 | 673.9998777481306 |
Compiled 19 to 23 computations (-21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 673.7202627148938 | 673.9998777481306 |
Compiled 19 to 23 computations (-21.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 28489333507921704.0 | 6.501228642718388e+21 |
| 17.0ms | 144× | 0 | valid |
Compiled 559 to 464 computations (17% saved)
ival-log: 5.0ms (41.7% of total)ival-sub: 4.0ms (33.3% of total)ival-add: 2.0ms (16.7% of total)ival-mult: 1.0ms (8.3% 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 | 689.018536644868 | 736.1293965357927 |
| 0.0ms | -8754938996108.539 | -13745216236.465513 |
Compiled 19 to 23 computations (-21.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 28489333507921704.0 | 6.501228642718388e+21 |
| 5.0ms | 48× | 0 | valid |
Compiled 379 to 356 computations (6.1% saved)
ival-log: 2.0ms (63.4% of total)ival-add: 1.0ms (31.7% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 596 |
| 1 | 139 | 596 |
| 2 | 197 | 596 |
| 3 | 340 | 596 |
| 4 | 550 | 596 |
| 5 | 736 | 596 |
| 6 | 856 | 596 |
| 7 | 970 | 596 |
| 8 | 1034 | 596 |
| 9 | 1073 | 596 |
| 10 | 1285 | 596 |
| 11 | 4211 | 596 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -750 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 2963403739181875/4398046511104 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 2963403739181875/4398046511104 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 2963403739181875/4398046511104 binary64)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 2963403739181875/4398046511104 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 2963403739181875/4398046511104 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a))) |
(if (<=.f64 t #s(literal 3250000000000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))) |
(if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -5000000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 700 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 #s(approx (pow t (+ -1/2 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) z)))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)))) |
(if (<=.f64 t #s(literal 3700000000000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) (-.f64 (log.f64 y) t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (log.f64 z) (fma.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a) (-.f64 (log.f64 y) t)))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -750 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) (if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 2963403739181875/4398046511104 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))))) |
(if (or (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal -750 binary64)) (not (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 2963403739181875/4398046511104 binary64)))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (log.f64 z)) #s(approx (- (log y) t) (log.f64 y)))) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 2963403739181875/4398046511104 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 2963403739181875/4398046511104 binary64)) (fma.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t) (-.f64 (log.f64 (*.f64 z (+.f64 y x))) t)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 2963403739181875/4398046511104 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (+.f64 (-.f64 (log.f64 (*.f64 z y)) t) (*.f64 (log.f64 t) (+.f64 #s(literal -1/2 binary64) a)))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a))) |
(if (<=.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) #s(literal 2963403739181875/4398046511104 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (fma.f64 (+.f64 #s(literal -1/2 binary64) a) (log.f64 t) (-.f64 (log.f64 (*.f64 z y)) t))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a))) |
(if (<=.f64 t #s(literal 3250000000000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) #s(approx (+ (* (+ -1/2 a) (log t)) (- (log (* z y)) t)) (fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (log.f64 (*.f64 z y))))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))) |
(if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal -5000000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 700 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 #s(approx (pow t (+ -1/2 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) z)))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)))) |
(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 -5000000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) (if (<=.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) #s(literal 700 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (log.f64 (*.f64 (+.f64 y x) (*.f64 #s(approx (pow t (+ -1/2 a)) (sqrt.f64 (pow.f64 t #s(literal -1 binary64)))) z)))) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)))) |
(if (<=.f64 t #s(literal 3700000000000000000 binary64)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (*.f64 (log.f64 t) a)) #s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t))) |
#s(approx (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) (neg.f64 t)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1722 | 20653 |
| 1 | 6163 | 20276 |
| 0 | 8099 | 19478 |
| 0 | 15 | 44 |
| 0 | 24 | 41 |
| 1 | 102 | 41 |
| 2 | 808 | 40 |
| 0 | 8201 | 40 |
| 0 | 58 | 324 |
| 0 | 96 | 321 |
| 1 | 475 | 277 |
| 2 | 3881 | 271 |
| 0 | 8085 | 270 |
| 0 | 382 | 2283 |
| 1 | 1144 | 2143 |
| 2 | 4341 | 2059 |
| 0 | 8907 | 1952 |
| 0 | 1925 | 20449 |
| 1 | 7016 | 20142 |
| 0 | 8774 | 19434 |
| 0 | 2843 | 43979 |
| 0 | 8177 | 42685 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 020 to 465 computations (54.4% saved)
(sort x y)
Compiled 1 320 to 324 computations (75.5% saved)
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