
Time bar (total: 16.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 74.8% | 0.2% | 0% | 24.9% | 0% | 3 |
| 0% | 0% | 37.4% | 0.2% | 0% | 62.3% | 0% | 4 |
| 0% | 0% | 18.7% | 0.2% | 0% | 81.1% | 0% | 5 |
| 0% | 0% | 18.7% | 0.2% | 0% | 81.1% | 0% | 6 |
| 0% | 0% | 18.7% | 0.2% | 0% | 81.1% | 0% | 7 |
| 10% | 1.6% | 14% | 0.2% | 0% | 84.2% | 0% | 8 |
| 10% | 1.6% | 14% | 0.2% | 0% | 84.2% | 0% | 9 |
| 10% | 1.6% | 14% | 0.2% | 0% | 84.2% | 0% | 10 |
| 10% | 1.6% | 14% | 0.2% | 0% | 84.2% | 0% | 11 |
| 20% | 3.1% | 12.5% | 0.2% | 0% | 84.2% | 0% | 12 |
Compiled 22 to 16 computations (27.3% saved)
ival-log: 19.0ms (43.5% of total)ival-sub: 9.0ms (20.6% of total)ival-add: 9.0ms (20.6% of total)ival-mult: 5.0ms (11.5% of total)const: 1.0ms (2.3% of total)backward-pass: 0.0ms (0% of total)| 1.3s | 8256× | 0 | valid |
| 247.0ms | 2015× | 0 | invalid |
ival-log: 401.0ms (43.4% of total)ival-add: 256.0ms (27.7% of total)ival-sub: 128.0ms (13.9% of total)ival-mult: 122.0ms (13.2% of total)const: 13.0ms (1.4% of total)backward-pass: 4.0ms (0.4% of total)| 2× | egg-herbie |
| 4028× | fma-lowering-fma.f32 |
| 4028× | fma-lowering-fma.f64 |
| 3424× | fmm-def |
| 1726× | sum5-define |
| 1680× | sum4-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 351 |
| 1 | 261 | 324 |
| 2 | 942 | 317 |
| 3 | 4808 | 317 |
| 0 | 15 | 16 |
| 1 | 28 | 15 |
| 2 | 75 | 15 |
| 3 | 253 | 15 |
| 4 | 774 | 14 |
| 5 | 4050 | 14 |
| 6 | 6634 | 14 |
| 7 | 7448 | 14 |
| 8 | 7767 | 14 |
| 9 | 7789 | 14 |
| 10 | 7789 | 14 |
| 0 | 9260 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
| Outputs |
|---|
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
| Inputs |
|---|
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
(+ (- (+ (log (+ (neg x) y)) (log z)) t) (* (- a 1/2) (log t))) |
(+ (- (+ (log (+ x (neg y))) (log z)) t) (* (- a 1/2) (log t))) |
(+ (- (+ (log (+ x y)) (log (neg z))) t) (* (- a 1/2) (log t))) |
(+ (- (+ (log (+ x y)) (log z)) (neg t)) (* (- a 1/2) (log (neg t)))) |
(+ (- (+ (log (+ x y)) (log z)) t) (* (- (neg a) 1/2) (log t))) |
(neg (+ (- (+ (log (+ (neg x) y)) (log z)) t) (* (- a 1/2) (log t)))) |
(neg (+ (- (+ (log (+ x (neg y))) (log z)) t) (* (- a 1/2) (log t)))) |
(neg (+ (- (+ (log (+ x y)) (log (neg z))) t) (* (- a 1/2) (log t)))) |
(neg (+ (- (+ (log (+ x y)) (log z)) (neg t)) (* (- a 1/2) (log (neg t))))) |
(neg (+ (- (+ (log (+ x y)) (log z)) t) (* (- (neg a) 1/2) (log t)))) |
(+ (- (+ (log (+ y x)) (log z)) t) (* (- a 1/2) (log t))) |
(+ (- (+ (log (+ z y)) (log x)) t) (* (- a 1/2) (log t))) |
(+ (- (+ (log (+ t y)) (log z)) x) (* (- a 1/2) (log x))) |
(+ (- (+ (log (+ a y)) (log z)) t) (* (- x 1/2) (log t))) |
(+ (- (+ (log (+ x z)) (log y)) t) (* (- a 1/2) (log t))) |
(+ (- (+ (log (+ x t)) (log z)) y) (* (- a 1/2) (log y))) |
(+ (- (+ (log (+ x a)) (log z)) t) (* (- y 1/2) (log t))) |
(+ (- (+ (log (+ x y)) (log t)) z) (* (- a 1/2) (log z))) |
(+ (- (+ (log (+ x y)) (log a)) t) (* (- z 1/2) (log t))) |
(+ (- (+ (log (+ x y)) (log z)) a) (* (- t 1/2) (log a))) |
| Outputs |
|---|
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
(+ (- (log z) t) (fma (+ a -1/2) (log t) (log (+ x y)))) |
(+ (- (+ (log (+ (neg x) y)) (log z)) t) (* (- a 1/2) (log t))) |
(+ (- (log z) t) (fma (+ a -1/2) (log t) (log (- y x)))) |
(+ (- (+ (log (+ x (neg y))) (log z)) t) (* (- a 1/2) (log t))) |
(+ (log z) (- (log (- x y)) (fma (log t) (- 1/2 a) t))) |
(+ (- (+ (log (+ x y)) (log (neg z))) t) (* (- a 1/2) (log t))) |
(sum4 (log (+ x y)) (log (neg z)) (neg t) (* (+ a -1/2) (log t))) |
(+ (- (+ (log (+ x y)) (log z)) (neg t)) (* (- a 1/2) (log (neg t)))) |
(sum4 (log (+ x y)) (log z) t (* (+ a -1/2) (log (neg t)))) |
(+ (- (+ (log (+ x y)) (log z)) t) (* (- (neg a) 1/2) (log t))) |
(+ (- (log z) t) (fma (log t) (- -1/2 a) (log (+ x y)))) |
(neg (+ (- (+ (log (+ (neg x) y)) (log z)) t) (* (- a 1/2) (log t)))) |
(- (fma (log t) (- 1/2 a) t) (+ (log z) (log (- y x)))) |
(neg (+ (- (+ (log (+ x (neg y))) (log z)) t) (* (- a 1/2) (log t)))) |
(- (fnmsub (+ a -1/2) (log t) (- (log z) t)) (log (- x y))) |
(neg (+ (- (+ (log (+ x y)) (log (neg z))) t) (* (- a 1/2) (log t)))) |
(+ (fnmsub (+ a -1/2) (log t) (log (neg z))) (- t (log (+ x y)))) |
(neg (+ (- (+ (log (+ x y)) (log z)) (neg t)) (* (- a 1/2) (log (neg t))))) |
(fnmsub (+ a -1/2) (log (neg t)) (sum3 (log (+ x y)) (log z) t)) |
(neg (+ (- (+ (log (+ x y)) (log z)) t) (* (- (neg a) 1/2) (log t)))) |
(- (fnmsub (log t) (- -1/2 a) (log (+ x y))) (- (log z) t)) |
(+ (- (+ (log (+ y x)) (log z)) t) (* (- a 1/2) (log t))) |
(+ (- (log z) t) (fma (+ a -1/2) (log t) (log (+ x y)))) |
(+ (- (+ (log (+ z y)) (log x)) t) (* (- a 1/2) (log t))) |
(- (+ (log (+ y z)) (log x)) (fma (log t) (- 1/2 a) t)) |
(+ (- (+ (log (+ t y)) (log z)) x) (* (- a 1/2) (log x))) |
(+ (- (log z) x) (fma (+ a -1/2) (log x) (log (+ y t)))) |
(+ (- (+ (log (+ a y)) (log z)) t) (* (- x 1/2) (log t))) |
(sum4 (log z) (log (+ y a)) (neg t) (* (log t) (+ x -1/2))) |
(+ (- (+ (log (+ x z)) (log y)) t) (* (- a 1/2) (log t))) |
(sum4 (* (+ a -1/2) (log t)) (log (+ x z)) (log y) (neg t)) |
(+ (- (+ (log (+ x t)) (log z)) y) (* (- a 1/2) (log y))) |
(+ (log (+ x t)) (- (log z) (fnmadd (+ a -1/2) (log y) y))) |
(+ (- (+ (log (+ x a)) (log z)) t) (* (- y 1/2) (log t))) |
(+ (log z) (- (log (+ x a)) (fnmadd (log t) (+ y -1/2) t))) |
(+ (- (+ (log (+ x y)) (log t)) z) (* (- a 1/2) (log z))) |
(+ (log t) (- (log (+ x y)) (fnmadd (log z) (+ a -1/2) z))) |
(+ (- (+ (log (+ x y)) (log a)) t) (* (- z 1/2) (log t))) |
(+ (log a) (- (log (+ x y)) (fnmadd (log t) (+ z -1/2) t))) |
(+ (- (+ (log (+ x y)) (log z)) a) (* (- t 1/2) (log a))) |
(+ (log z) (- (log (+ x y)) (fnmadd (log a) (+ t -1/2) a))) |
(sort x y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 6 | 0 | - | 4 | (-1.2876394052919458e+67 2.6162610596432824e+113 4.352504263036157e-121 5.934807261663626e-198 -1.1716703892719915e-275) | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (-.f64 a #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | y |
| 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 | - | z |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
| 0 | 0 | - | 0 | - | (log.f64 z) |
| 0 | 0 | - | 0 | - | (log.f64 (+.f64 x y)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (log.f64 t) |
| 249.0ms | 512× | 0 | valid |
Compiled 149 to 47 computations (68.5% saved)
ival-log: 27.0ms (60.5% of total)ival-add: 8.0ms (17.9% of total)ival-sub: 5.0ms (11.2% of total)ival-mult: 4.0ms (9% of total)const: 1.0ms (2.2% of total)backward-pass: 0.0ms (0% of total)Compiled 21 to 15 computations (28.6% 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))) |
| ▶ | 99.6% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
Compiled 42 to 30 computations (28.6% saved)
| 1× | egg-herbie |
Found 8 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 | 0 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 x y)) |
| ✓ | cost-diff | 0 | (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
| 1924× | fmsub-define |
| 1808× | fnmsub-define |
| 1656× | fmm-def |
| 1600× | fma-lowering-fma.f32 |
| 1600× | fma-lowering-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 119 |
| 1 | 42 | 115 |
| 2 | 127 | 115 |
| 3 | 463 | 113 |
| 4 | 1747 | 113 |
| 5 | 5263 | 113 |
| 0 | 8108 | 113 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a))))) |
(log (+ x y)) |
(+ x y) |
x |
y |
(- (log z) (+ t (* (log t) (- 1/2 a)))) |
(log z) |
z |
(+ t (* (log t) (- 1/2 a))) |
t |
(* (log t) (- 1/2 a)) |
(log t) |
(- 1/2 a) |
1/2 |
a |
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
(- (+ (log (+ x y)) (log z)) t) |
(+ (log (+ x y)) (log z)) |
(log (+ x y)) |
(+ x y) |
x |
y |
(log z) |
z |
t |
(* (- a 1/2) (log t)) |
(- a 1/2) |
a |
1/2 |
(log t) |
| Outputs |
|---|
(+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a))))) |
(+.f64 (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(log (+ x y)) |
(log.f64 (+.f64 x y)) |
(+ x y) |
(+.f64 x y) |
x |
y |
(- (log z) (+ t (* (log t) (- 1/2 a)))) |
(+.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) (-.f64 (log.f64 z) t)) |
(log z) |
(log.f64 z) |
z |
(+ t (* (log t) (- 1/2 a))) |
(-.f64 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
t |
(* (log t) (- 1/2 a)) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) |
(log t) |
(log.f64 t) |
(- 1/2 a) |
(-.f64 #s(literal 1/2 binary64) a) |
1/2 |
#s(literal 1/2 binary64) |
a |
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
(+.f64 (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(- (+ (log (+ x y)) (log z)) t) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(+ (log (+ x y)) (log z)) |
(+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
(log (+ x y)) |
(log.f64 (+.f64 x y)) |
(+ x y) |
(+.f64 x y) |
x |
y |
(log z) |
(log.f64 z) |
z |
t |
(* (- a 1/2) (log t)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(- a 1/2) |
(+.f64 a #s(literal -1/2 binary64)) |
a |
1/2 |
#s(literal 1/2 binary64) |
(log t) |
(log.f64 t) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
| ✓ | accuracy | 99.8% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| ✓ | accuracy | 99.8% | (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)) |
| ✓ | accuracy | 98.9% | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| ✓ | accuracy | 100.0% | (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
| ✓ | accuracy | 99.8% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
| ✓ | accuracy | 99.8% | (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) |
| ✓ | accuracy | 99.7% | (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
| 120.0ms | 256× | 0 | valid |
Compiled 125 to 21 computations (83.2% saved)
ival-add: 11.0ms (37.9% of total)ival-log: 9.0ms (31% of total)ival-sub: 5.0ms (17.2% of total)ival-mult: 3.0ms (10.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a)))))> |
#<alt (log (+ x y))> |
#<alt (+ x y)> |
#<alt (- (log z) (+ t (* (log t) (- 1/2 a))))> |
#<alt (+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t)))> |
#<alt (- (+ (log (+ x y)) (log z)) t)> |
#<alt (+ (log (+ x y)) (log z))> |
#<alt (* (log t) (- 1/2 a))> |
#<alt (+ t (* (log t) (- 1/2 a)))> |
#<alt (* (- a 1/2) (log t))> |
| Outputs |
|---|
#<alt (- (+ (log y) (log z)) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log y) (+ (log z) (/ x y))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (* -1 (log (/ 1 x)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log x) (log z)) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log x) (+ (log z) (/ y x))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (* -1 (log (/ 1 y)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (log (+ x y))) (* (log t) (- 1/2 a)))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))> |
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#<alt y> |
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#<alt x> |
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#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
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#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
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#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))))> |
#<alt (+ (log x) (log z))> |
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#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))> |
#<alt (+ (log -1) (+ (log z) (* -1 (log (/ -1 y)))))> |
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y))))> |
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))))> |
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (* (log t) (- 1/2 a))> |
#<alt (* (log t) (- 1/2 a))> |
#<alt (* (log t) (- 1/2 a))> |
#<alt (* (log t) (- 1/2 a))> |
#<alt (* -1 (* (log (/ 1 t)) (- 1/2 a)))> |
#<alt (* -1 (* (log (/ 1 t)) (- 1/2 a)))> |
#<alt (* -1 (* (log (/ 1 t)) (- 1/2 a)))> |
#<alt (* -1 (* (log (/ 1 t)) (- 1/2 a)))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))> |
#<alt (* 1/2 (log t))> |
#<alt (+ (* -1 (* a (log t))) (* 1/2 (log t)))> |
#<alt (+ (* -1 (* a (log t))) (* 1/2 (log t)))> |
#<alt (+ (* -1 (* a (log t))) (* 1/2 (log t)))> |
#<alt (* -1 (* a (log t)))> |
#<alt (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))> |
#<alt (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))> |
#<alt (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))> |
#<alt (* -1 (* a (log t)))> |
#<alt (* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))> |
#<alt (* (log t) (- 1/2 a))> |
#<alt (+ t (* (log t) (- 1/2 a)))> |
#<alt (+ t (* (log t) (- 1/2 a)))> |
#<alt (+ t (* (log t) (- 1/2 a)))> |
#<alt t> |
#<alt (* t (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))> |
#<alt (* t (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))> |
#<alt (* t (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))> |
#<alt t> |
#<alt (* -1 (* t (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)) 1)))> |
#<alt (* -1 (* t (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)) 1)))> |
#<alt (* -1 (* t (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)) 1)))> |
#<alt (+ t (* 1/2 (log t)))> |
#<alt (+ t (+ (* -1 (* a (log t))) (* 1/2 (log t))))> |
#<alt (+ t (+ (* -1 (* a (log t))) (* 1/2 (log t))))> |
#<alt (+ t (+ (* -1 (* a (log t))) (* 1/2 (log t))))> |
#<alt (* -1 (* a (log t)))> |
#<alt (* a (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* -1 (* a (log t)))> |
#<alt (* -1 (* a (+ (log t) (* -1 (/ (+ t (* 1/2 (log t))) a)))))> |
#<alt (* -1 (* a (+ (log t) (* -1 (/ (+ t (* 1/2 (log t))) a)))))> |
#<alt (* -1 (* a (+ (log t) (* -1 (/ (+ t (* 1/2 (log t))) a)))))> |
#<alt (* -1/2 (log t))> |
#<alt (+ (* -1/2 (log t)) (* a (log t)))> |
#<alt (+ (* -1/2 (log t)) (* a (log t)))> |
#<alt (+ (* -1/2 (log t)) (* a (log t)))> |
#<alt (* a (log t))> |
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))> |
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))> |
#<alt (* a (+ (log t) (* -1/2 (/ (log t) a))))> |
#<alt (* a (log t))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))))> |
#<alt (* (log t) (- a 1/2))> |
#<alt (* (log t) (- a 1/2))> |
#<alt (* (log t) (- a 1/2))> |
#<alt (* (log t) (- a 1/2))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* -1 (* (log (/ 1 t)) (- a 1/2)))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2))> |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 181.0ms | z | @ | 0 | (+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a))))) |
| 32.0ms | z | @ | -inf | (+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a))))) |
| 22.0ms | t | @ | inf | (* (log t) (- 1/2 a)) |
| 9.0ms | z | @ | inf | (+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a))))) |
| 6.0ms | t | @ | -inf | (* (log t) (- 1/2 a)) |
| 1× | batch-egg-rewrite |
| 3592× | *-lowering-*.f32 |
| 3592× | *-lowering-*.f64 |
| 3076× | /-lowering-/.f32 |
| 3076× | /-lowering-/.f64 |
| 1844× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 82 |
| 1 | 145 | 78 |
| 2 | 1548 | 78 |
| 0 | 8297 | 78 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (log (+ x y)) (- (log z) (+ t (* (log t) (- 1/2 a))))) |
(log (+ x y)) |
(+ x y) |
(- (log z) (+ t (* (log t) (- 1/2 a)))) |
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 1/2) (log t))) |
(- (+ (log (+ x y)) (log z)) t) |
(+ (log (+ x y)) (log z)) |
(* (log t) (- 1/2 a)) |
(+ t (* (log t) (- 1/2 a))) |
(* (- a 1/2) (log t)) |
| Outputs |
|---|
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(+.f64 (log.f64 z) (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (log.f64 (+.f64 x y)))) |
(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(+.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (log.f64 (+.f64 x y))) |
(+.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (fma.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) a)) (log.f64 t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(+.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (-.f64 #s(literal 1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(+.f64 (log.f64 (*.f64 (+.f64 x y) z)) (-.f64 #s(literal 0 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(+.f64 (fma.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t))))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))))) |
(+.f64 (fma.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))))) |
(+.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x y) z))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t))))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))))) |
(+.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x y) z))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))))) |
(-.f64 (log.f64 z) (-.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (log.f64 (+.f64 x y)))) |
(-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (-.f64 (log.f64 z) t) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) (/.f64 (pow.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(fma.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y)))))) (-.f64 #s(literal 0 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t (+.f64 t (log.f64 (*.f64 (+.f64 x y) z)))))) (neg.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (+.f64 (+.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))) (log.f64 (+.f64 x y))) |
(fma.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x y) z))) (-.f64 #s(literal 0 binary64) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t (log.f64 (*.f64 (+.f64 x y) z)))) (neg.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (log.f64 (+.f64 x y))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (-.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (log.f64 (+.f64 x y)))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x y)) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))))) |
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(pow.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y))))) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 x y) z)) (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 (/.f64 z (+.f64 x y))))))) |
(*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x y) z)))) |
(+.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) (*.f64 (log.f64 t) (-.f64 #s(literal 0 binary64) a))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 t)) (*.f64 (-.f64 #s(literal 0 binary64) a) (log.f64 t))) |
(fma.f64 (log.f64 t) #s(literal 1/2 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 0 binary64) a))) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 t) (*.f64 (-.f64 #s(literal 0 binary64) a) (log.f64 t))) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a)) |
(/.f64 (neg.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) a))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a))) (log.f64 t))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t))) (neg.f64 (+.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t)) |
(+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(+.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t) |
(-.f64 (/.f64 (*.f64 t t) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (/.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(fma.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a) t) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) a) (log.f64 t) t) |
(/.f64 (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))) |
(/.f64 (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (-.f64 (*.f64 t t) (*.f64 (*.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (-.f64 (*.f64 t t) (*.f64 (*.f64 t (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 t t)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)) |
(/.f64 (-.f64 (*.f64 (*.f64 t t) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (*.f64 (-.f64 t (*.f64 (log.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)))) (pow.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 t t))) (neg.f64 (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t))) |
(pow.f64 (/.f64 (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t))) (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t))))) |
(*.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(+.f64 (*.f64 (log.f64 t) a) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 a (log.f64 t)) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) |
(fma.f64 (log.f64 t) a (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(fma.f64 a (log.f64 t) (*.f64 #s(literal -1/2 binary64) (log.f64 t))) |
(/.f64 (*.f64 (log.f64 t) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64))) (+.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 (log.f64 t) (+.f64 (*.f64 a a) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/2 binary64) a)) |
(/.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64)) (log.f64 t)) (+.f64 (*.f64 a a) (+.f64 #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 #s(literal 1/2 binary64) a)) |
(/.f64 (neg.f64 (*.f64 (log.f64 t) (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(/.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 (+.f64 (*.f64 a (*.f64 a a)) #s(literal -1/8 binary64)) (log.f64 t))) (neg.f64 (+.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a a) #s(literal -1/4 binary64)) (log.f64 t))) (neg.f64 (+.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (log.f64 t)) |
| 1× | egg-herbie |
| 4690× | +-lowering-+.f64 |
| 4690× | +-lowering-+.f32 |
| 1702× | fnmadd-define |
| 1692× | *-lowering-*.f32 |
| 1692× | *-lowering-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 5458 |
| 1 | 1643 | 4986 |
| 2 | 6887 | 4912 |
| 0 | 8155 | 4912 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (log y) (log z)) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log y) (+ (log z) (/ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (* -1 (log (/ 1 x)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (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 t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (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 t) (- 1/2 a)))) |
(- (+ (log x) (log z)) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log x) (+ (log z) (/ y x))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (* -1 (log (/ 1 y)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (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 t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (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 t) (- 1/2 a)))) |
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (log (+ x y))) (* (log t) (- 1/2 a))) |
(- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a))) |
(- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a))) |
(- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a))) |
(* -1 t) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (log z) (log (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (log z) (log (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (log z) (log (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t))))) |
(- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(* a (log t)) |
(* a (- (+ (/ (log z) a) (/ (log (+ x y)) a)) (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(* a (- (+ (/ (log z) a) (/ (log (+ x y)) a)) (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(* a (- (+ (/ (log z) a) (/ (log (+ x y)) a)) (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(* a (log t)) |
(* -1 (* a (- (* -1 (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a)) (log t)))) |
(* -1 (* a (- (* -1 (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a)) (log t)))) |
(* -1 (* a (- (* -1 (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a)) (log t)))) |
(log y) |
(+ (log y) (/ x y)) |
(+ (log y) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(+ (log y) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ y x)) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ y x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) |
(log x) |
(+ (log x) (/ y x)) |
(+ (log x) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))) |
(+ (log x) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) |
(* -1 (log (/ 1 y))) |
(+ (* -1 (log (/ 1 y))) (/ x y)) |
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))) |
(+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))) |
(+ (log -1) (* -1 (log (/ -1 y)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (/ x y))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))) |
(+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(- (log z) (+ t (* (log t) (- 1/2 a)))) |
(- (log z) (+ t (* (log t) (- 1/2 a)))) |
(- (log z) (+ t (* (log t) (- 1/2 a)))) |
(- (log z) (+ t (* (log t) (- 1/2 a)))) |
(- (* -1 (log (/ 1 z))) (+ t (* (log t) (- 1/2 a)))) |
(- (* -1 (log (/ 1 z))) (+ t (* (log t) (- 1/2 a)))) |
(- (* -1 (log (/ 1 z))) (+ t (* (log t) (- 1/2 a)))) |
(- (* -1 (log (/ 1 z))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (* -1 (log (/ -1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (* -1 (log (/ -1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (* -1 (log (/ -1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (* -1 (log (/ -1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (log z) (* (log t) (- 1/2 a))) |
(- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a))) |
(- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a))) |
(- (+ (log z) (* -1 t)) (* (log t) (- 1/2 a))) |
(* -1 t) |
(* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))) |
(* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))) |
(* t (- (/ (log z) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (- (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (- (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (- (log z) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t))))) |
(- (log z) (+ t (* 1/2 (log t)))) |
(- (+ (log z) (* a (log t))) (+ t (* 1/2 (log t)))) |
(- (+ (log z) (* a (log t))) (+ t (* 1/2 (log t)))) |
(- (+ (log z) (* a (log t))) (+ t (* 1/2 (log t)))) |
(* a (log t)) |
(* a (- (/ (log z) a) (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(* a (- (/ (log z) a) (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(* a (- (/ (log z) a) (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(* a (log t)) |
(* -1 (* a (- (* -1 (/ (- (log z) (+ t (* 1/2 (log t)))) a)) (log t)))) |
(* -1 (* a (- (* -1 (/ (- (log z) (+ t (* 1/2 (log t)))) a)) (log t)))) |
(* -1 (* a (- (* -1 (/ (- (log z) (+ t (* 1/2 (log t)))) a)) (log t)))) |
(- (+ (log y) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log y) (+ (log z) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(- (+ (log y) (+ (log z) (+ (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- a 1/2))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* (log t) (- a 1/2)) (/ y x)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* (log t) (- a 1/2)) (/ y x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log x) (+ (log z) (* (log t) (- a 1/2)))) t) |
(- (+ (log x) (+ (log z) (+ (* (log t) (- a 1/2)) (/ y x)))) t) |
(- (+ (log x) (+ (log z) (+ (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- a 1/2))))) t) |
(- (+ (log x) (+ (log z) (+ (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (* (log t) (- a 1/2))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* (log t) (- a 1/2)) (/ x y)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* (log t) (- a 1/2)) (/ x y))))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* (log t) (- a 1/2)) (/ x y)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* (log t) (- a 1/2)) (/ x y))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (* (log t) (- a 1/2)))))) t) |
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) |
(- (+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(- (+ (log (+ x y)) (+ (* -1 (log (/ 1 z))) (* (log t) (- a 1/2)))) t) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (+ (* -1 (log (/ -1 z))) (* (log t) (- a 1/2))))) t) |
(+ (log z) (+ (log (+ x y)) (* (log t) (- a 1/2)))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(+ (log z) (+ (log (+ x y)) (+ (* -1 t) (* (log t) (- a 1/2))))) |
(* -1 t) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(* t (- (+ (* -1 (/ (* (log (/ 1 t)) (- a 1/2)) t)) (+ (/ (log z) t) (/ (log (+ x y)) t))) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (+ (log (+ x y)) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)))) t))))) |
(- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(- (+ (log z) (+ (log (+ x y)) (+ (* -1/2 (log t)) (* a (log t))))) t) |
(* a (log t)) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (- (+ (log t) (+ (* -1/2 (/ (log t) a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (/ t a))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* -1 (/ (- (+ (log z) (+ (log (+ x y)) (* -1/2 (log t)))) t) a))))) |
(- (+ (log y) (log z)) t) |
(- (+ (log y) (+ (log z) (/ x y))) t) |
(- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) t) |
(- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) t) |
(- (+ (log z) (* -1 (log (/ 1 x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) t) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) t) |
(- (+ (log x) (log z)) t) |
(- (+ (log x) (+ (log z) (/ y x))) t) |
(- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) t) |
(- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) t) |
(- (+ (log z) (* -1 (log (/ 1 y)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) t) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) t) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) t) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) t) |
(- (+ (log z) (log (+ x y))) t) |
(- (+ (log z) (log (+ x y))) t) |
(- (+ (log z) (log (+ x y))) t) |
(- (+ (log z) (log (+ x y))) t) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) t) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) t) |
(+ (log z) (log (+ x y))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(+ (log z) (+ (log (+ x y)) (* -1 t))) |
(* -1 t) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (+ (log z) (log (+ x y))) t))))) |
(+ (log y) (log z)) |
(+ (log y) (+ (log z) (/ x y))) |
(+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) |
(+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(+ (log z) (* -1 (log (/ 1 x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) |
(+ (log x) (log z)) |
(+ (log x) (+ (log z) (/ y x))) |
(+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) |
(+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) |
(+ (log z) (* -1 (log (/ 1 y)))) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) |
(+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) |
(+ (log z) (log (+ x y))) |
(+ (log z) (log (+ x y))) |
(+ (log z) (log (+ x y))) |
(+ (log z) (log (+ x y))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+ (log (+ x y)) (* -1 (log (/ 1 z)))) |
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) |
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) |
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) |
(+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) |
(* (log t) (- 1/2 a)) |
(* (log t) (- 1/2 a)) |
(* (log t) (- 1/2 a)) |
(* (log t) (- 1/2 a)) |
(* -1 (* (log (/ 1 t)) (- 1/2 a))) |
(* -1 (* (log (/ 1 t)) (- 1/2 a))) |
(* -1 (* (log (/ 1 t)) (- 1/2 a))) |
(* -1 (* (log (/ 1 t)) (- 1/2 a))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) |
(* 1/2 (log t)) |
(+ (* -1 (* a (log t))) (* 1/2 (log t))) |
(+ (* -1 (* a (log t))) (* 1/2 (log t))) |
(+ (* -1 (* a (log t))) (* 1/2 (log t))) |
(* -1 (* a (log t))) |
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))) |
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))) |
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))) |
(* -1 (* a (log t))) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(* (log t) (- 1/2 a)) |
(+ t (* (log t) (- 1/2 a))) |
(+ t (* (log t) (- 1/2 a))) |
(+ t (* (log t) (- 1/2 a))) |
t |
(* t (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))) |
(* t (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))) |
(* t (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))) |
t |
(* -1 (* t (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)) 1))) |
(* -1 (* t (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)) 1))) |
(* -1 (* t (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) t)) 1))) |
(+ t (* 1/2 (log t))) |
(+ t (+ (* -1 (* a (log t))) (* 1/2 (log t)))) |
(+ t (+ (* -1 (* a (log t))) (* 1/2 (log t)))) |
(+ t (+ (* -1 (* a (log t))) (* 1/2 (log t)))) |
(* -1 (* a (log t))) |
(* a (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* -1 (* a (log t))) |
(* -1 (* a (+ (log t) (* -1 (/ (+ t (* 1/2 (log t))) a))))) |
(* -1 (* a (+ (log t) (* -1 (/ (+ t (* 1/2 (log t))) a))))) |
(* -1 (* a (+ (log t) (* -1 (/ (+ t (* 1/2 (log t))) a))))) |
(* -1/2 (log t)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(* a (log t)) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(* a (log t)) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* (log t) (- a 1/2)) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
| Outputs |
|---|
(- (+ (log y) (log z)) (+ t (* (log t) (- 1/2 a)))) |
(+.f64 (log.f64 z) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log y) (+ (log z) (/ x y))) (+ t (* (log t) (- 1/2 a)))) |
(+.f64 (log.f64 z) (+.f64 (/.f64 x y) (-.f64 (-.f64 (log.f64 y) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a)))) |
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(*.f64 (-.f64 (log.f64 t) (/.f64 (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64))) a)) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (log t) (* -1 (/ (+ t (* 1/2 (log t))) a))))) |
(*.f64 (-.f64 (log.f64 t) (/.f64 (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64))) a)) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (log t) (* -1 (/ (+ t (* 1/2 (log t))) a))))) |
(*.f64 (-.f64 (log.f64 t) (/.f64 (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64))) a)) (-.f64 #s(literal 0 binary64) a)) |
(* -1/2 (log t)) |
(*.f64 (log.f64 t) #s(literal -1/2 binary64)) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(+ (* -1/2 (log t)) (* a (log t))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* a (log t)) |
(*.f64 (log.f64 t) a) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 a (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 a (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a))) |
(* a (+ (log t) (* -1/2 (/ (log t) a)))) |
(*.f64 a (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a))) |
(* a (log t)) |
(*.f64 (log.f64 t) a) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (-.f64 #s(literal 0 binary64) a)) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* (log t) (- a 1/2)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (log.f64 t))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (log.f64 t))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (log.f64 t))) |
(* -1 (* (log (/ 1 t)) (- a 1/2))) |
(*.f64 (+.f64 a #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (log.f64 t))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (+.f64 a #s(literal -1/2 binary64))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (+.f64 a #s(literal -1/2 binary64))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (+.f64 a #s(literal -1/2 binary64))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- a 1/2)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (+.f64 a #s(literal -1/2 binary64))) |
Compiled 38570 to 2554 computations (93.4% saved)
25 alts after pruning (25 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 934 | 25 | 959 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 936 | 25 | 961 |
| Status | Accuracy | Program |
|---|---|---|
| 54.1% | (fma.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x y) z))) (neg.f64 (-.f64 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))) | |
| 42.7% | (/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))) | |
| 41.1% | (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (+.f64 #s(literal 1/2 binary64) a))) | |
| 42.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (/.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t))) (+.f64 #s(literal 1/2 binary64) a))) | |
| ▶ | 76.0% | (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
| ▶ | 99.6% | (-.f64 (-.f64 (log.f64 z) t) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) |
| ▶ | 37.8% | (-.f64 #s(literal 0 binary64) t) |
| ▶ | 94.7% | (+.f64 (-.f64 (/.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)))) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 74.9% | (+.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))) | |
| ▶ | 99.6% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 a (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)))) |
| 99.5% | (+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 y)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 34.6% | (+.f64 (-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (log.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) | |
| 79.8% | (+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 41.3% | (+.f64 (log.f64 (+.f64 x y)) (/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (+.f64 (+.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))))) | |
| 41.3% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (/.f64 (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))))) | |
| 59.3% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64))))) | |
| 57.8% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (*.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))))) | |
| 84.6% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))) | |
| 41.2% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) | |
| 40.9% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) | |
| 44.3% | (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a)) | |
| 63.5% | (+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) | |
| 42.7% | (*.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))) | |
| 41.8% | (*.f64 (log.f64 t) a) | |
| 88.7% | (*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (+.f64 (/.f64 t a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)))))) |
Compiled 1452 to 862 computations (40.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.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)))) |
| ✓ | cost-diff | 0 | (-.f64 (/.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)))) t) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 (/.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)))) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) |
| ✓ | cost-diff | 6400 | (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) |
| ✓ | cost-diff | 6656 | (*.f64 a (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a))) |
| ✓ | cost-diff | 6656 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 a (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 x y) z) |
| ✓ | cost-diff | 0 | (log.f64 (*.f64 (+.f64 x y) z)) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) t) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y))) |
| ✓ | cost-diff | 0 | (log.f64 z) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 z) t) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 (log.f64 z) t) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) |
| 2150× | +-lowering-+.f64 |
| 2150× | +-lowering-+.f32 |
| 1954× | --lowering--.f32 |
| 1954× | --lowering--.f64 |
| 1552× | *-lowering-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 325 |
| 1 | 97 | 320 |
| 2 | 316 | 317 |
| 3 | 1217 | 309 |
| 4 | 4800 | 309 |
| 5 | 7509 | 309 |
| 0 | 8067 | 309 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- (log z) t) (- (* (log t) (- 1/2 a)) (log (+ x y)))) |
(- (log z) t) |
(log z) |
z |
t |
(- (* (log t) (- 1/2 a)) (log (+ x y))) |
(* (log t) (- 1/2 a)) |
(log t) |
(- 1/2 a) |
1/2 |
a |
(log (+ x y)) |
(+ x y) |
x |
y |
(- 0 t) |
0 |
t |
(- (- (log (* (+ x y) z)) (* (log t) (- 1/2 a))) t) |
(- (log (* (+ x y) z)) (* (log t) (- 1/2 a))) |
(log (* (+ x y) z)) |
(* (+ x y) z) |
(+ x y) |
x |
y |
z |
(* (log t) (- 1/2 a)) |
(log t) |
t |
(- 1/2 a) |
1/2 |
a |
(+ (- (+ (log (+ x y)) (log z)) t) (* a (+ (log t) (/ (* (log t) -1/2) a)))) |
(- (+ (log (+ x y)) (log z)) t) |
(+ (log (+ x y)) (log z)) |
(log (+ x y)) |
(+ x y) |
x |
y |
(log z) |
z |
t |
(* a (+ (log t) (/ (* (log t) -1/2) a))) |
a |
(+ (log t) (/ (* (log t) -1/2) a)) |
(log t) |
(/ (* (log t) -1/2) a) |
(* (log t) -1/2) |
-1/2 |
(+ (- (/ (- (pow (log z) 2) (pow (log (+ x y)) 2)) (log (/ z (+ x y)))) t) (* (- a 1/2) (log t))) |
(- (/ (- (pow (log z) 2) (pow (log (+ x y)) 2)) (log (/ z (+ x y)))) t) |
(/ (- (pow (log z) 2) (pow (log (+ x y)) 2)) (log (/ z (+ x y)))) |
(- (pow (log z) 2) (pow (log (+ x y)) 2)) |
(pow (log z) 2) |
(log z) |
z |
2 |
(pow (log (+ x y)) 2) |
(log (+ x y)) |
(+ x y) |
x |
y |
(log (/ z (+ x y))) |
(/ z (+ x y)) |
t |
(* (- a 1/2) (log t)) |
(- a 1/2) |
a |
1/2 |
(log t) |
| Outputs |
|---|
(- (- (log z) t) (- (* (log t) (- 1/2 a)) (log (+ x y)))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (log z) t) |
(-.f64 (log.f64 z) t) |
(log z) |
(log.f64 z) |
z |
t |
(- (* (log t) (- 1/2 a)) (log (+ x y))) |
(-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y))) |
(* (log t) (- 1/2 a)) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) |
(log t) |
(log.f64 t) |
(- 1/2 a) |
(-.f64 #s(literal 1/2 binary64) a) |
1/2 |
#s(literal 1/2 binary64) |
a |
(log (+ x y)) |
(log.f64 (+.f64 x y)) |
(+ x y) |
(+.f64 x y) |
x |
y |
(- 0 t) |
(-.f64 #s(literal 0 binary64) t) |
0 |
#s(literal 0 binary64) |
t |
(- (- (log (* (+ x y) z)) (* (log t) (- 1/2 a))) t) |
(+.f64 (log.f64 (*.f64 z (+.f64 x y))) (-.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t)) |
(- (log (* (+ x y) z)) (* (log t) (- 1/2 a))) |
(+.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
(log (* (+ x y) z)) |
(log.f64 (*.f64 z (+.f64 x y))) |
(* (+ x y) z) |
(*.f64 z (+.f64 x y)) |
(+ x y) |
(+.f64 x y) |
x |
y |
z |
(* (log t) (- 1/2 a)) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) |
(log t) |
(log.f64 t) |
t |
(- 1/2 a) |
(-.f64 #s(literal 1/2 binary64) a) |
1/2 |
#s(literal 1/2 binary64) |
a |
(+ (- (+ (log (+ x y)) (log z)) t) (* a (+ (log t) (/ (* (log t) -1/2) a)))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log (+ x y)) (log z)) t) |
(+.f64 (-.f64 (log.f64 z) t) (log.f64 (+.f64 x y))) |
(+ (log (+ x y)) (log z)) |
(+.f64 (log.f64 z) (log.f64 (+.f64 x y))) |
(log (+ x y)) |
(log.f64 (+.f64 x y)) |
(+ x y) |
(+.f64 x y) |
x |
y |
(log z) |
(log.f64 z) |
z |
t |
(* a (+ (log t) (/ (* (log t) -1/2) a))) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
a |
(+ (log t) (/ (* (log t) -1/2) a)) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(log t) |
(log.f64 t) |
(/ (* (log t) -1/2) a) |
(/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) |
(* (log t) -1/2) |
(*.f64 (log.f64 t) #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(+ (- (/ (- (pow (log z) 2) (pow (log (+ x y)) 2)) (log (/ z (+ x y)))) t) (* (- a 1/2) (log t))) |
(+.f64 (/.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 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) t)) |
(- (/ (- (pow (log z) 2) (pow (log (+ x y)) 2)) (log (/ z (+ x y)))) t) |
(-.f64 (/.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)))) t) |
(/ (- (pow (log z) 2) (pow (log (+ x y)) 2)) (log (/ z (+ x y)))) |
(/.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)))) |
(- (pow (log z) 2) (pow (log (+ x y)) 2)) |
(-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64))) |
(pow (log z) 2) |
(pow.f64 (log.f64 z) #s(literal 2 binary64)) |
(log z) |
(log.f64 z) |
z |
2 |
#s(literal 2 binary64) |
(pow (log (+ x y)) 2) |
(pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) |
(log (+ x y)) |
(log.f64 (+.f64 x y)) |
(+ x y) |
(+.f64 x y) |
x |
y |
(log (/ z (+ x y))) |
(log.f64 (/.f64 z (+.f64 x y))) |
(/ z (+ x y)) |
(/.f64 z (+.f64 x y)) |
t |
(* (- a 1/2) (log t)) |
(*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) |
(- a 1/2) |
(+.f64 a #s(literal -1/2 binary64)) |
a |
1/2 |
#s(literal 1/2 binary64) |
(log t) |
(log.f64 t) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.2% | (pow.f64 (log.f64 z) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.2% | (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.1% | (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64))) |
| ✓ | accuracy | 78.1% | (log.f64 (/.f64 z (+.f64 x y))) |
| ✓ | accuracy | 99.8% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 a (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)))) |
| ✓ | accuracy | 99.6% | (*.f64 a (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a))) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) |
| ✓ | accuracy | 98.9% | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 x y) z) |
| ✓ | accuracy | 99.8% | (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) |
| ✓ | accuracy | 99.6% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
| ✓ | accuracy | 76.4% | (log.f64 (*.f64 (+.f64 x y) z)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) t) |
| ✓ | accuracy | 100.0% | (-.f64 (log.f64 z) t) |
| ✓ | accuracy | 99.9% | (-.f64 (-.f64 (log.f64 z) t) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) |
| ✓ | accuracy | 99.8% | (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) |
| ✓ | accuracy | 99.6% | (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y))) |
| 130.0ms | 256× | 0 | valid |
Compiled 335 to 41 computations (87.8% saved)
ival-log: 17.0ms (29.7% of total)ival-sub: 13.0ms (22.7% of total)ival-mult: 9.0ms (15.7% of total)ival-add: 6.0ms (10.5% of total)ival-pow: 6.0ms (10.5% of total)ival-div: 5.0ms (8.7% of total)const: 1.0ms (1.7% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (- (log z) t) (- (* (log t) (- 1/2 a)) (log (+ x y))))> |
#<alt (- (log z) t)> |
#<alt (log z)> |
#<alt (- (* (log t) (- 1/2 a)) (log (+ x y)))> |
#<alt (- 0 t)> |
#<alt (- (- (log (* (+ x y) z)) (* (log t) (- 1/2 a))) t)> |
#<alt (- (log (* (+ x y) z)) (* (log t) (- 1/2 a)))> |
#<alt (log (* (+ x y) z))> |
#<alt (* (+ x y) z)> |
#<alt (+ (- (+ (log (+ x y)) (log z)) t) (* a (+ (log t) (/ (* (log t) -1/2) a))))> |
#<alt (* a (+ (log t) (/ (* (log t) -1/2) a)))> |
#<alt (+ (log t) (/ (* (log t) -1/2) a))> |
#<alt (- (+ (log (+ x y)) (log z)) t)> |
#<alt (+ (- (/ (- (pow (log z) 2) (pow (log (+ x y)) 2)) (log (/ z (+ x y)))) t) (* (- a 1/2) (log t)))> |
#<alt (- (/ (- (pow (log z) 2) (pow (log (+ x y)) 2)) (log (/ z (+ x y)))) t)> |
#<alt (/ (- (pow (log z) 2) (pow (log (+ x y)) 2)) (log (/ z (+ x y))))> |
#<alt (- (pow (log z) 2) (pow (log (+ x y)) 2))> |
#<alt (* (log t) (- 1/2 a))> |
#<alt (+ (log (+ x y)) (log z))> |
#<alt (/ (* (log t) -1/2) a)> |
#<alt (log (/ z (+ x y)))> |
#<alt (pow (log (+ x y)) 2)> |
#<alt (pow (log z) 2)> |
| Outputs |
|---|
#<alt (- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (log (+ x y))) (* (log t) (- 1/2 a)))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a)))> |
#<alt (* -1 t)> |
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))> |
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))> |
#<alt (* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t)))))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (- (+ (log z) (log (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (- (+ (log z) (log (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (- (+ (log z) (log (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t)))))> |
#<alt (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t))))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t))))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t))))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t))))> |
#<alt (* a (log t))> |
#<alt (* a (- (+ (/ (log z) a) (/ (log (+ x y)) a)) (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a)))))> |
#<alt (* a (- (+ (/ (log z) a) (/ (log (+ x y)) a)) (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a)))))> |
#<alt (* a (- (+ (/ (log z) a) (/ (log (+ x y)) a)) (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a)))))> |
#<alt (* a (log t))> |
#<alt (* -1 (* a (- (* -1 (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a)) (log t))))> |
#<alt (* -1 (* a (- (* -1 (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a)) (log t))))> |
#<alt (* -1 (* a (- (* -1 (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a)) (log t))))> |
#<alt (- (+ (log y) (log z)) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log y) (+ (log z) (/ x y))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (* -1 (log (/ 1 x)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log x) (log z)) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log x) (+ (log z) (/ y x))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (* -1 (log (/ 1 y)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (log z) t)> |
#<alt (- (log z) t)> |
#<alt (- (log z) t)> |
#<alt (- (log z) t)> |
#<alt (- (* -1 (log (/ 1 z))) t)> |
#<alt (- (* -1 (log (/ 1 z))) t)> |
#<alt (- (* -1 (log (/ 1 z))) t)> |
#<alt (- (* -1 (log (/ 1 z))) t)> |
#<alt (- (+ (log -1) (* -1 (log (/ -1 z)))) t)> |
#<alt (- (+ (log -1) (* -1 (log (/ -1 z)))) t)> |
#<alt (- (+ (log -1) (* -1 (log (/ -1 z)))) t)> |
#<alt (- (+ (log -1) (* -1 (log (/ -1 z)))) t)> |
#<alt (log z)> |
#<alt (+ (log z) (* -1 t))> |
#<alt (+ (log z) (* -1 t))> |
#<alt (+ (log z) (* -1 t))> |
#<alt (* -1 t)> |
#<alt (* t (- (/ (log z) t) 1))> |
#<alt (* t (- (/ (log z) t) 1))> |
#<alt (* t (- (/ (log z) t) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (log z) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (log z) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (log z) t)))))> |
#<alt (log z)> |
#<alt (log z)> |
#<alt (log z)> |
#<alt (log z)> |
#<alt (* -1 (log (/ 1 z)))> |
#<alt (* -1 (log (/ 1 z)))> |
#<alt (* -1 (log (/ 1 z)))> |
#<alt (* -1 (log (/ 1 z)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 z))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 z))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 z))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 z))))> |
#<alt (- (* (log t) (- 1/2 a)) (log (+ x y)))> |
#<alt (- (* (log t) (- 1/2 a)) (log (+ x y)))> |
#<alt (- (* (log t) (- 1/2 a)) (log (+ x y)))> |
#<alt (- (* (log t) (- 1/2 a)) (log (+ x y)))> |
#<alt (- (* -1 (* (log (/ 1 t)) (- 1/2 a))) (log (+ x y)))> |
#<alt (- (* -1 (* (log (/ 1 t)) (- 1/2 a))) (log (+ x y)))> |
#<alt (- (* -1 (* (log (/ 1 t)) (- 1/2 a))) (log (+ x y)))> |
#<alt (- (* -1 (* (log (/ 1 t)) (- 1/2 a))) (log (+ x y)))> |
#<alt (- (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) (log (+ x y)))> |
#<alt (- (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) (log (+ x y)))> |
#<alt (- (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) (log (+ x y)))> |
#<alt (- (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) (log (+ x y)))> |
#<alt (- (* 1/2 (log t)) (log (+ x y)))> |
#<alt (- (+ (* -1 (* a (log t))) (* 1/2 (log t))) (log (+ x y)))> |
#<alt (- (+ (* -1 (* a (log t))) (* 1/2 (log t))) (log (+ x y)))> |
#<alt (- (+ (* -1 (* a (log t))) (* 1/2 (log t))) (log (+ x y)))> |
#<alt (* -1 (* a (log t)))> |
#<alt (* a (- (+ (* -1 (log t)) (* 1/2 (/ (log t) a))) (/ (log (+ x y)) a)))> |
#<alt (* a (- (+ (* -1 (log t)) (* 1/2 (/ (log t) a))) (/ (log (+ x y)) a)))> |
#<alt (* a (- (+ (* -1 (log t)) (* 1/2 (/ (log t) a))) (/ (log (+ x y)) a)))> |
#<alt (* -1 (* a (log t)))> |
#<alt (* -1 (* a (+ (log t) (* -1 (/ (- (* 1/2 (log t)) (log (+ x y))) a)))))> |
#<alt (* -1 (* a (+ (log t) (* -1 (/ (- (* 1/2 (log t)) (log (+ x y))) a)))))> |
#<alt (* -1 (* a (+ (log t) (* -1 (/ (- (* 1/2 (log t)) (log (+ x y))) a)))))> |
#<alt (- (* (log t) (- 1/2 a)) (log y))> |
#<alt (- (+ (* -1 (/ x y)) (* (log t) (- 1/2 a))) (log y))> |
#<alt (- (+ (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- 1/2 a))) (log y))> |
#<alt (- (+ (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- 1/2 a))) (log y))> |
#<alt (- (* (log t) (- 1/2 a)) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (* -1 (/ y x)) (* (log t) (- 1/2 a))) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (* 1/2 (/ (pow y 2) (pow x 2))) (* (log t) (- 1/2 a))) (+ (* -1 (log (/ 1 x))) (/ y x)))> |
#<alt (- (+ (* -1/3 (/ (pow y 3) (pow x 3))) (* (log t) (- 1/2 a))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))))> |
#<alt (- (* (log t) (- 1/2 a)) (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ (* -1 (/ y x)) (* (log t) (- 1/2 a))) (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ (* -1 (/ (- (* -1/2 (/ (pow y 2) x)) (* -1 y)) x)) (* (log t) (- 1/2 a))) (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow y 3) x)) (* -1/2 (pow y 2))) x)) (* -1 y)) x)) (* (log t) (- 1/2 a))) (+ (log -1) (* -1 (log (/ -1 x)))))> |
#<alt (- (* (log t) (- 1/2 a)) (log x))> |
#<alt (- (+ (* -1 (/ y x)) (* (log t) (- 1/2 a))) (log x))> |
#<alt (- (+ (* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- 1/2 a))) (log x))> |
#<alt (- (+ (* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (* (log t) (- 1/2 a))) (log x))> |
#<alt (- (* (log t) (- 1/2 a)) (* -1 (log (/ 1 y))))> |
#<alt (- (+ (* -1 (/ x y)) (* (log t) (- 1/2 a))) (* -1 (log (/ 1 y))))> |
#<alt (- (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* (log t) (- 1/2 a))) (+ (* -1 (log (/ 1 y))) (/ x y)))> |
#<alt (- (+ (* -1/3 (/ (pow x 3) (pow y 3))) (* (log t) (- 1/2 a))) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))> |
#<alt (- (* (log t) (- 1/2 a)) (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (- (+ (* -1 (/ x y)) (* (log t) (- 1/2 a))) (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (- (+ (* -1 (/ (- (* -1/2 (/ (pow x 2) y)) (* -1 x)) y)) (* (log t) (- 1/2 a))) (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (- (+ (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow x 3) y)) (* -1/2 (pow x 2))) y)) (* -1 x)) y)) (* (log t) (- 1/2 a))) (+ (log -1) (* -1 (log (/ -1 y)))))> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (* -1 t)> |
#<alt (- (log (* y z)) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (* y z)) (/ x y)) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (* y z)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (* y z)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (* -1 (log (/ 1 x)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (/ y x))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (log (* x z)) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (* x z)) (/ y x)) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (* x z)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (* x z)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (* -1 (log (/ 1 y)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y))))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (/ x y))) (+ t (* (log t) (- 1/2 a))))> |
#<alt (- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))) (+ t (* (log t) (- 1/2 a))))> |
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#<alt (+ (log x) (log z))> |
#<alt (+ (log x) (+ (log z) (/ y x)))> |
#<alt (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))))> |
#<alt (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))))> |
#<alt (+ (log z) (* -1 (log (/ 1 y))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y)))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y))))> |
#<alt (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (/ x y)))))> |
#<alt (+ (log -1) (+ (log z) (* -1 (log (/ -1 y)))))> |
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y))))> |
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))))> |
#<alt (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log z) (log (+ x y)))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (+ x y)) (* -1 (log (/ 1 z))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z)))))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (* 1/2 (/ (log (/ 1 t)) a))> |
#<alt (* 1/2 (/ (log (/ 1 t)) a))> |
#<alt (* 1/2 (/ (log (/ 1 t)) a))> |
#<alt (* 1/2 (/ (log (/ 1 t)) a))> |
#<alt (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a))> |
#<alt (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a))> |
#<alt (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a))> |
#<alt (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (* -1/2 (/ (log t) a))> |
#<alt (+ (log z) (log (/ 1 (+ x y))))> |
#<alt (+ (log z) (log (/ 1 (+ x y))))> |
#<alt (+ (log z) (log (/ 1 (+ x y))))> |
#<alt (+ (log z) (log (/ 1 (+ x y))))> |
#<alt (+ (log (/ 1 (+ x y))) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (/ 1 (+ x y))) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (/ 1 (+ x y))) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (/ 1 (+ x y))) (* -1 (log (/ 1 z))))> |
#<alt (+ (log (/ -1 (+ x y))) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (/ -1 (+ x y))) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (/ -1 (+ x y))) (* -1 (log (/ -1 z))))> |
#<alt (+ (log (/ -1 (+ x y))) (* -1 (log (/ -1 z))))> |
#<alt (log (/ z y))> |
#<alt (+ (log (/ z y)) (* -1 (/ x y)))> |
#<alt (+ (log (/ z y)) (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))))> |
#<alt (+ (log (/ z y)) (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))> |
#<alt (+ (log z) (log (/ 1 x)))> |
#<alt (+ (log z) (+ (log (/ 1 x)) (* -1 (/ y x))))> |
#<alt (+ (log z) (+ (log (/ 1 x)) (+ (* -1 (/ y x)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow x 2))))))> |
#<alt (+ (log z) (+ (log (/ 1 x)) (+ (* -1 (/ y x)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow x 2)))))))> |
#<alt (+ (log (* -1 z)) (log (/ -1 x)))> |
#<alt (+ (log (* -1 z)) (+ (log (/ -1 x)) (* -1 (/ y x))))> |
#<alt (+ (log (* -1 z)) (+ (log (/ -1 x)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x))) x))))> |
#<alt (+ (log (* -1 z)) (+ (log (/ -1 x)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) x)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) x))) x))))> |
#<alt (log (/ z x))> |
#<alt (+ (log (/ z x)) (* -1 (/ y x)))> |
#<alt (+ (log (/ z x)) (* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))))> |
#<alt (+ (log (/ z x)) (* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))> |
#<alt (+ (log z) (log (/ 1 y)))> |
#<alt (+ (log z) (+ (log (/ 1 y)) (* -1 (/ x y))))> |
#<alt (+ (log z) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2))))))> |
#<alt (+ (log z) (+ (log (/ 1 y)) (+ (* -1 (/ x y)) (+ (* 1/6 (/ (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3)))) (pow y 3))) (* 1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow y 2)))))))> |
#<alt (+ (log (* -1 z)) (log (/ -1 y)))> |
#<alt (+ (log (* -1 z)) (+ (log (/ -1 y)) (* -1 (/ x y))))> |
#<alt (+ (log (* -1 z)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1/2 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) y))) y))))> |
#<alt (+ (log (* -1 z)) (+ (log (/ -1 y)) (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))) y)) (* 1/2 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) y))) y))))> |
#<alt (pow (log y) 2)> |
#<alt (+ (* 2 (/ (* x (log y)) y)) (pow (log y) 2))> |
#<alt (+ (* x (+ (* 2 (/ (log y) y)) (* x (+ (* -1 (/ (log y) (pow y 2))) (/ 1 (pow y 2)))))) (pow (log y) 2))> |
#<alt (+ (* x (+ (* 2 (/ (log y) y)) (* x (+ (* -1 (/ (log y) (pow y 2))) (+ (* x (- (* 2/3 (/ (log y) (pow y 3))) (/ 1 (pow y 3)))) (/ 1 (pow y 2))))))) (pow (log y) 2))> |
#<alt (pow (log (/ 1 x)) 2)> |
#<alt (+ (* -2 (/ (* y (log (/ 1 x))) x)) (pow (log (/ 1 x)) 2))> |
#<alt (+ (* -2 (/ (* y (log (/ 1 x))) x)) (+ (/ (* (pow y 2) (log (/ 1 x))) (pow x 2)) (+ (/ (pow y 2) (pow x 2)) (pow (log (/ 1 x)) 2))))> |
#<alt (+ (* -2 (/ (* y (log (/ 1 x))) x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (* -2/3 (/ (* (pow y 3) (log (/ 1 x))) (pow x 3))) (+ (/ (* (pow y 2) (log (/ 1 x))) (pow x 2)) (+ (/ (pow y 2) (pow x 2)) (pow (log (/ 1 x)) 2))))))> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)> |
#<alt (+ (* 2 (/ (* y (+ (log -1) (* -1 (log (/ -1 x))))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))> |
#<alt (+ (* -1 (/ (+ (* -2 (* y (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow y 2)) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))> |
#<alt (+ (* -1 (/ (+ (* -2 (* y (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (* -2/3 (* (pow y 3) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow y 3)) x)) (pow y 2))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))> |
#<alt (pow (log x) 2)> |
#<alt (+ (* 2 (/ (* y (log x)) x)) (pow (log x) 2))> |
#<alt (+ (* y (+ (* 2 (/ (log x) x)) (* y (+ (* -1 (/ (log x) (pow x 2))) (/ 1 (pow x 2)))))) (pow (log x) 2))> |
#<alt (+ (* y (+ (* 2 (/ (log x) x)) (* y (+ (* -1 (/ (log x) (pow x 2))) (+ (* y (- (* 2/3 (/ (log x) (pow x 3))) (/ 1 (pow x 3)))) (/ 1 (pow x 2))))))) (pow (log x) 2))> |
#<alt (pow (log (/ 1 y)) 2)> |
#<alt (+ (* -2 (/ (* x (log (/ 1 y))) y)) (pow (log (/ 1 y)) 2))> |
#<alt (+ (* -2 (/ (* x (log (/ 1 y))) y)) (+ (/ (* (pow x 2) (log (/ 1 y))) (pow y 2)) (+ (/ (pow x 2) (pow y 2)) (pow (log (/ 1 y)) 2))))> |
#<alt (+ (* -2 (/ (* x (log (/ 1 y))) y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (* -2/3 (/ (* (pow x 3) (log (/ 1 y))) (pow y 3))) (+ (/ (* (pow x 2) (log (/ 1 y))) (pow y 2)) (+ (/ (pow x 2) (pow y 2)) (pow (log (/ 1 y)) 2))))))> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)> |
#<alt (+ (* 2 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y)) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))> |
#<alt (+ (* -1 (/ (+ (* -2 (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (+ (log -1) (* -1 (log (/ -1 y)))))) (pow x 2)) y))) y)) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))> |
#<alt (+ (* -1 (/ (+ (* -2 (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1 (/ (+ (* -2/3 (* (pow x 3) (+ (log -1) (* -1 (log (/ -1 y)))))) (pow x 3)) y)) (pow x 2))) y))) y)) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2))> |
#<alt (pow (log z) 2)> |
#<alt (pow (log z) 2)> |
#<alt (pow (log z) 2)> |
#<alt (pow (log z) 2)> |
#<alt (pow (log (/ 1 z)) 2)> |
#<alt (pow (log (/ 1 z)) 2)> |
#<alt (pow (log (/ 1 z)) 2)> |
#<alt (pow (log (/ 1 z)) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 z)))) 2)> |
210 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 85.0ms | z | @ | -inf | (+ (- (/ (- (pow (log z) 2) (pow (log (+ x y)) 2)) (log (/ z (+ x y)))) t) (* (- a 1/2) (log t))) |
| 19.0ms | z | @ | 0 | (+ (- (/ (- (pow (log z) 2) (pow (log (+ x y)) 2)) (log (/ z (+ x y)))) t) (* (- a 1/2) (log t))) |
| 14.0ms | z | @ | -inf | (- (- (log (* (+ x y) z)) (* (log t) (- 1/2 a))) t) |
| 11.0ms | t | @ | 0 | (- (log (* (+ x y) z)) (* (log t) (- 1/2 a))) |
| 10.0ms | z | @ | inf | (+ (- (/ (- (pow (log z) 2) (pow (log (+ x y)) 2)) (log (/ z (+ x y)))) t) (* (- a 1/2) (log t))) |
| 1× | batch-egg-rewrite |
| 3894× | fma-lowering-fma.f32 |
| 3894× | fma-lowering-fma.f64 |
| 2128× | +-lowering-+.f64 |
| 2128× | +-lowering-+.f32 |
| 1848× | prod-diff |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 206 |
| 1 | 305 | 187 |
| 2 | 3522 | 186 |
| 0 | 8670 | 186 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (- (log z) t) (- (* (log t) (- 1/2 a)) (log (+ x y)))) |
(- (log z) t) |
(log z) |
(- (* (log t) (- 1/2 a)) (log (+ x y))) |
(- 0 t) |
(- (- (log (* (+ x y) z)) (* (log t) (- 1/2 a))) t) |
(- (log (* (+ x y) z)) (* (log t) (- 1/2 a))) |
(log (* (+ x y) z)) |
(* (+ x y) z) |
(+ (- (+ (log (+ x y)) (log z)) t) (* a (+ (log t) (/ (* (log t) -1/2) a)))) |
(* a (+ (log t) (/ (* (log t) -1/2) a))) |
(+ (log t) (/ (* (log t) -1/2) a)) |
(- (+ (log (+ x y)) (log z)) t) |
(+ (- (/ (- (pow (log z) 2) (pow (log (+ x y)) 2)) (log (/ z (+ x y)))) t) (* (- a 1/2) (log t))) |
(- (/ (- (pow (log z) 2) (pow (log (+ x y)) 2)) (log (/ z (+ x y)))) t) |
(/ (- (pow (log z) 2) (pow (log (+ x y)) 2)) (log (/ z (+ x y)))) |
(- (pow (log z) 2) (pow (log (+ x y)) 2)) |
(* (log t) (- 1/2 a)) |
(+ (log (+ x y)) (log z)) |
(/ (* (log t) -1/2) a) |
(log (/ z (+ x y))) |
(pow (log (+ x y)) 2) |
(pow (log z) 2) |
| Outputs |
|---|
(+.f64 (log.f64 z) (neg.f64 (+.f64 t (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))))) |
(+.f64 (log.f64 z) (-.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y))))) |
(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(+.f64 (-.f64 (log.f64 z) t) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y))))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(+.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (-.f64 #s(literal 0 binary64) t)) |
(+.f64 (log.f64 (*.f64 z (+.f64 x y))) (neg.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(+.f64 (log.f64 (*.f64 z (+.f64 x y))) (-.f64 (*.f64 (log.f64 t) (neg.f64 (-.f64 #s(literal 1/2 binary64) a))) t)) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) (-.f64 (log.f64 z) t)) |
(+.f64 (-.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (log.f64 (+.f64 x y))) |
(+.f64 (+.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) t)) |
(+.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t (+.f64 (log.f64 z) t)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x y)) (+.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))))) (-.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x y)) (+.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y))))))) (-.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x y)) (+.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))))) (-.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)))))) |
(+.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t (+.f64 (log.f64 z) t)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) (-.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y))))) (-.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) (-.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)))))) |
(+.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 z) t)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x y)) (+.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))))) (-.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x y)) (+.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y))))))) (-.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x y)) (+.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))))) (-.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64)))))) |
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(pow.f64 (/.f64 a (*.f64 (log.f64 t) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 (log.f64 t) (/.f64 #s(literal -1/2 binary64) a)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 t) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 t) a)) |
(*.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (log.f64 t)) |
(log.f64 (/.f64 z (+.f64 x y))) |
(+.f64 (log.f64 z) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(+.f64 (log.f64 (/.f64 z (+.f64 x y))) (fma.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64))) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64)) (log.f64 (+.f64 x y)))) |
(-.f64 (log.f64 z) (log.f64 (+.f64 x y))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x y) z))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) z)) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(fma.f64 (pow.f64 (log.f64 z) #s(literal 1/2 binary64)) (pow.f64 (log.f64 z) #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(neg.f64 (log.f64 (/.f64 (+.f64 x y) z))) |
(/.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) (log.f64 (/.f64 z (+.f64 x y)))) (log.f64 (*.f64 z (+.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (log.f64 z) (log.f64 (+.f64 x y)))))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 (+.f64 x y))))) |
(pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x y)))) #s(literal 2 binary64)) |
(*.f64 (log.f64 (+.f64 x y)) (log.f64 (+.f64 x y))) |
(*.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x y)))) (exp.f64 (log.f64 (log.f64 (+.f64 x y))))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 z)))) |
(pow.f64 (log.f64 z) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (log.f64 z))) #s(literal 2 binary64)) |
(*.f64 (log.f64 z) (log.f64 z)) |
(*.f64 (exp.f64 (log.f64 (log.f64 z))) (exp.f64 (log.f64 (log.f64 z)))) |
| 1× | egg-herbie |
| 5120× | +-lowering-+.f64 |
| 5120× | +-lowering-+.f32 |
| 3646× | *-lowering-*.f32 |
| 3646× | *-lowering-*.f64 |
| 2006× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2011 | 28229 |
| 1 | 7377 | 28036 |
| 0 | 8483 | 28036 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (log (+ x y))) (* (log t) (- 1/2 a))) |
(- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a))) |
(- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a))) |
(- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a))) |
(* -1 t) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (log z) (log (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (log z) (log (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (log z) (log (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t))))) |
(- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(* a (log t)) |
(* a (- (+ (/ (log z) a) (/ (log (+ x y)) a)) (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(* a (- (+ (/ (log z) a) (/ (log (+ x y)) a)) (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(* a (- (+ (/ (log z) a) (/ (log (+ x y)) a)) (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(* a (log t)) |
(* -1 (* a (- (* -1 (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a)) (log t)))) |
(* -1 (* a (- (* -1 (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a)) (log t)))) |
(* -1 (* a (- (* -1 (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a)) (log t)))) |
(- (+ (log y) (log z)) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log y) (+ (log z) (/ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (* -1 (log (/ 1 x)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (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 t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (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 t) (- 1/2 a)))) |
(- (+ (log x) (log z)) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log x) (+ (log z) (/ y x))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (* -1 (log (/ 1 y)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (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 t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (/ x y)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y))))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (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 t) (- 1/2 a)))) |
(- (log z) t) |
(- (log z) t) |
(- (log z) t) |
(- (log z) t) |
(- (* -1 (log (/ 1 z))) t) |
(- (* -1 (log (/ 1 z))) t) |
(- (* -1 (log (/ 1 z))) t) |
(- (* -1 (log (/ 1 z))) t) |
(- (+ (log -1) (* -1 (log (/ -1 z)))) t) |
(- (+ (log -1) (* -1 (log (/ -1 z)))) t) |
(- (+ (log -1) (* -1 (log (/ -1 z)))) t) |
(- (+ (log -1) (* -1 (log (/ -1 z)))) t) |
(log z) |
(+ (log z) (* -1 t)) |
(+ (log z) (* -1 t)) |
(+ (log z) (* -1 t)) |
(* -1 t) |
(* t (- (/ (log z) t) 1)) |
(* t (- (/ (log z) t) 1)) |
(* t (- (/ (log z) t) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (log z) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (log z) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (log z) t))))) |
(log z) |
(log z) |
(log z) |
(log z) |
(* -1 (log (/ 1 z))) |
(* -1 (log (/ 1 z))) |
(* -1 (log (/ 1 z))) |
(* -1 (log (/ 1 z))) |
(+ (log -1) (* -1 (log (/ -1 z)))) |
(+ (log -1) (* -1 (log (/ -1 z)))) |
(+ (log -1) (* -1 (log (/ -1 z)))) |
(+ (log -1) (* -1 (log (/ -1 z)))) |
(- (* (log t) (- 1/2 a)) (log (+ x y))) |
(- (* (log t) (- 1/2 a)) (log (+ x y))) |
(- (* (log t) (- 1/2 a)) (log (+ x y))) |
(- (* (log t) (- 1/2 a)) (log (+ x y))) |
(- (* -1 (* (log (/ 1 t)) (- 1/2 a))) (log (+ x y))) |
(- (* -1 (* (log (/ 1 t)) (- 1/2 a))) (log (+ x y))) |
(- (* -1 (* (log (/ 1 t)) (- 1/2 a))) (log (+ x y))) |
(- (* -1 (* (log (/ 1 t)) (- 1/2 a))) (log (+ x y))) |
(- (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) (log (+ x y))) |
(- (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) (log (+ x y))) |
(- (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) (log (+ x y))) |
(- (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a)) (log (+ x y))) |
(- (* 1/2 (log t)) (log (+ x y))) |
(- (+ (* -1 (* a (log t))) (* 1/2 (log t))) (log (+ x y))) |
(- (+ (* -1 (* a (log t))) (* 1/2 (log t))) (log (+ x y))) |
(- (+ (* -1 (* a (log t))) (* 1/2 (log t))) (log (+ x y))) |
(* -1 (* a (log t))) |
(* a (- (+ (* -1 (log t)) (* 1/2 (/ (log t) a))) (/ (log (+ x y)) a))) |
(* a (- (+ (* -1 (log t)) (* 1/2 (/ (log t) a))) (/ (log (+ x y)) a))) |
(* a (- (+ (* -1 (log t)) (* 1/2 (/ (log t) a))) (/ (log (+ x y)) a))) |
(* -1 (* a (log t))) |
(* -1 (* a (+ (log t) (* -1 (/ (- (* 1/2 (log t)) (log (+ x y))) a))))) |
(* -1 (* a (+ (log t) (* -1 (/ (- (* 1/2 (log t)) (log (+ x y))) a))))) |
(* -1 (* a (+ (log t) (* -1 (/ (- (* 1/2 (log t)) (log (+ x y))) a))))) |
(- (* (log t) (- 1/2 a)) (log y)) |
(- (+ (* -1 (/ x y)) (* (log t) (- 1/2 a))) (log y)) |
(- (+ (* x (- (* 1/2 (/ x (pow y 2))) (/ 1 y))) (* (log t) (- 1/2 a))) (log y)) |
(- (+ (* x (- (* x (+ (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (* (log t) (- 1/2 a))) (log y)) |
(- (* (log t) (- 1/2 a)) (* -1 (log (/ 1 x)))) |
(- (+ (* -1 (/ y x)) (* (log t) (- 1/2 a))) (* -1 (log (/ 1 x)))) |
(- (+ (* 1/2 (/ (pow y 2) (pow x 2))) (* (log t) (- 1/2 a))) (+ (* -1 (log (/ 1 x))) (/ y x))) |
(- (+ (* -1/3 (/ (pow y 3) (pow x 3))) (* (log t) (- 1/2 a))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) |
(- (* (log t) (- 1/2 a)) (+ (log -1) (* -1 (log (/ -1 x))))) |
(- (+ (* -1 (/ y x)) (* (log t) (- 1/2 a))) (+ (log -1) (* -1 (log (/ -1 x))))) |
(- (+ (* -1 (/ (- (* -1/2 (/ (pow y 2) x)) (* -1 y)) x)) (* (log t) (- 1/2 a))) (+ (log -1) (* -1 (log (/ -1 x))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow y 3) x)) (* -1/2 (pow y 2))) x)) (* -1 y)) x)) (* (log t) (- 1/2 a))) (+ (log -1) (* -1 (log (/ -1 x))))) |
(- (* (log t) (- 1/2 a)) (log x)) |
(- (+ (* -1 (/ y x)) (* (log t) (- 1/2 a))) (log x)) |
(- (+ (* y (- (* 1/2 (/ y (pow x 2))) (/ 1 x))) (* (log t) (- 1/2 a))) (log x)) |
(- (+ (* y (- (* y (+ (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (* (log t) (- 1/2 a))) (log x)) |
(- (* (log t) (- 1/2 a)) (* -1 (log (/ 1 y)))) |
(- (+ (* -1 (/ x y)) (* (log t) (- 1/2 a))) (* -1 (log (/ 1 y)))) |
(- (+ (* 1/2 (/ (pow x 2) (pow y 2))) (* (log t) (- 1/2 a))) (+ (* -1 (log (/ 1 y))) (/ x y))) |
(- (+ (* -1/3 (/ (pow x 3) (pow y 3))) (* (log t) (- 1/2 a))) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(- (* (log t) (- 1/2 a)) (+ (log -1) (* -1 (log (/ -1 y))))) |
(- (+ (* -1 (/ x y)) (* (log t) (- 1/2 a))) (+ (log -1) (* -1 (log (/ -1 y))))) |
(- (+ (* -1 (/ (- (* -1/2 (/ (pow x 2) y)) (* -1 x)) y)) (* (log t) (- 1/2 a))) (+ (log -1) (* -1 (log (/ -1 y))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow x 3) y)) (* -1/2 (pow x 2))) y)) (* -1 x)) y)) (* (log t) (- 1/2 a))) (+ (log -1) (* -1 (log (/ -1 y))))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(- (log (* y z)) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* y z)) (/ x y)) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* y z)) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* y z)) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (* -1 (log (/ 1 x)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (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 t) (- 1/2 a)))) |
(- (+ (log (* -1 z)) (* -1 (log (/ -1 x)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (/ y x))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)))) (+ t (* (log t) (- 1/2 a)))) |
(- (log (* x z)) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* x z)) (/ y x)) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* x z)) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* x z)) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (* -1 (log (/ 1 y)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (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 t) (- 1/2 a)))) |
(- (+ (log (* -1 z)) (* -1 (log (/ -1 y)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (/ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* -1 z)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (+ (log (* -1 (+ x y))) (* -1 (log (/ -1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(- (log (* z (+ x y))) (* (log t) (- 1/2 a))) |
(- (+ (log (* z (+ x y))) (* -1 t)) (* (log t) (- 1/2 a))) |
(- (+ (log (* z (+ x y))) (* -1 t)) (* (log t) (- 1/2 a))) |
(- (+ (log (* z (+ x y))) (* -1 t)) (* (log t) (- 1/2 a))) |
(* -1 t) |
(* t (- (/ (log (* z (+ x y))) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))) |
(* t (- (/ (log (* z (+ x y))) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))) |
(* t (- (/ (log (* z (+ x y))) t) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (- (log (* z (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t))))) |
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(+ (* 2 (/ (* y (+ (log -1) (* -1 (log (/ -1 x))))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(+ (* -1 (/ (+ (* -2 (* y (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow y 2)) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(+ (* -1 (/ (+ (* -2 (* y (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* (pow y 2) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (* -2/3 (* (pow y 3) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow y 3)) x)) (pow y 2))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(pow (log x) 2) |
(+ (* 2 (/ (* y (log x)) x)) (pow (log x) 2)) |
(+ (* y (+ (* 2 (/ (log x) x)) (* y (+ (* -1 (/ (log x) (pow x 2))) (/ 1 (pow x 2)))))) (pow (log x) 2)) |
(+ (* y (+ (* 2 (/ (log x) x)) (* y (+ (* -1 (/ (log x) (pow x 2))) (+ (* y (- (* 2/3 (/ (log x) (pow x 3))) (/ 1 (pow x 3)))) (/ 1 (pow x 2))))))) (pow (log x) 2)) |
(pow (log (/ 1 y)) 2) |
(+ (* -2 (/ (* x (log (/ 1 y))) y)) (pow (log (/ 1 y)) 2)) |
(+ (* -2 (/ (* x (log (/ 1 y))) y)) (+ (/ (* (pow x 2) (log (/ 1 y))) (pow y 2)) (+ (/ (pow x 2) (pow y 2)) (pow (log (/ 1 y)) 2)))) |
(+ (* -2 (/ (* x (log (/ 1 y))) y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (* -2/3 (/ (* (pow x 3) (log (/ 1 y))) (pow y 3))) (+ (/ (* (pow x 2) (log (/ 1 y))) (pow y 2)) (+ (/ (pow x 2) (pow y 2)) (pow (log (/ 1 y)) 2)))))) |
(pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) |
(+ (* 2 (/ (* x (+ (log -1) (* -1 (log (/ -1 y))))) y)) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) |
(+ (* -1 (/ (+ (* -2 (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (+ (log -1) (* -1 (log (/ -1 y)))))) (pow x 2)) y))) y)) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) |
(+ (* -1 (/ (+ (* -2 (* x (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (* (pow x 2) (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1 (/ (+ (* -2/3 (* (pow x 3) (+ (log -1) (* -1 (log (/ -1 y)))))) (pow x 3)) y)) (pow x 2))) y))) y)) (pow (+ (log -1) (* -1 (log (/ -1 y)))) 2)) |
(pow (log z) 2) |
(pow (log z) 2) |
(pow (log z) 2) |
(pow (log z) 2) |
(pow (log (/ 1 z)) 2) |
(pow (log (/ 1 z)) 2) |
(pow (log (/ 1 z)) 2) |
(pow (log (/ 1 z)) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) |
| Outputs |
|---|
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log z) (log (+ x y))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log (+ x y)) (* -1 (log (/ 1 z)))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 (+.f64 x y)) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 x y))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 x y))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 x y))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log -1) (+ (log (+ x y)) (* -1 (log (/ -1 z))))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 x y))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log z) (log (+ x y))) (* (log t) (- 1/2 a))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log z) (+ (log (+ x y)) (* -1 t))) (* (log t) (- 1/2 a))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(* -1 t) |
(neg.f64 t) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))) |
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 (+.f64 x y)) t)) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))) |
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 (+.f64 x y)) t)) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))) |
(* t (- (+ (/ (log z) t) (/ (log (+ x y)) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/2 a)) t))))) |
(*.f64 t (-.f64 (+.f64 (/.f64 (log.f64 z) t) (/.f64 (log.f64 (+.f64 x y)) t)) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (log z) (log (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t))))) |
(*.f64 (neg.f64 t) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 (-.f64 #s(literal 1/2 binary64) a) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) t)))))) t)))) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (log z) (log (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t))))) |
(*.f64 (neg.f64 t) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 (-.f64 #s(literal 1/2 binary64) a) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) t)))))) t)))) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (log z) (log (+ x y))) (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/2 a))) t))))) |
(*.f64 (neg.f64 t) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 (-.f64 #s(literal 1/2 binary64) a) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) t)))))) t)))) |
(- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64)))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(-.f64 (+.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 (log.f64 t) a)) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64)))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(-.f64 (+.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 (log.f64 t) a)) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64)))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(-.f64 (+.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 (log.f64 t) a)) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64)))) |
(* a (log t)) |
(*.f64 (log.f64 t) a) |
(* a (- (+ (/ (log z) a) (/ (log (+ x y)) a)) (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(*.f64 a (+.f64 (/.f64 (log.f64 z) a) (-.f64 (/.f64 (log.f64 (+.f64 x y)) a) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) a)) (/.f64 t a)))))) |
(* a (- (+ (/ (log z) a) (/ (log (+ x y)) a)) (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(*.f64 a (+.f64 (/.f64 (log.f64 z) a) (-.f64 (/.f64 (log.f64 (+.f64 x y)) a) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) a)) (/.f64 t a)))))) |
(* a (- (+ (/ (log z) a) (/ (log (+ x y)) a)) (+ (* -1 (log t)) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(*.f64 a (+.f64 (/.f64 (log.f64 z) a) (-.f64 (/.f64 (log.f64 (+.f64 x y)) a) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 t) a)) (/.f64 t a)))))) |
(* a (log t)) |
(*.f64 (log.f64 t) a) |
(* -1 (* a (- (* -1 (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a)) (log t)))) |
(*.f64 (*.f64 #s(literal -1 binary64) a) (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64)))) a)) (log.f64 t))) |
(* -1 (* a (- (* -1 (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a)) (log t)))) |
(*.f64 (*.f64 #s(literal -1 binary64) a) (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64)))) a)) (log.f64 t))) |
(* -1 (* a (- (* -1 (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a)) (log t)))) |
(*.f64 (*.f64 #s(literal -1 binary64) a) (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64)))) a)) (log.f64 t))) |
(- (+ (log y) (log z)) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 y)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log y) (+ (log z) (/ x y))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 z) (/.f64 x y))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log y) (+ (log z) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log y) (+ (log z) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) (+ t (* (log t) (- 1/2 a)))) |
(+.f64 (log.f64 y) (-.f64 (+.f64 (log.f64 z) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))))))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(- (+ (log z) (* -1 (log (/ 1 x)))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 z) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (/ y x))) (+ t (* (log t) (- 1/2 a)))) |
(+.f64 (log.f64 z) (-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(- (+ (log z) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 z) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x))))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (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 t) (- 1/2 a)))) |
(+.f64 (log.f64 z) (-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 x x)) (+.f64 (/.f64 y x) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 x))))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 z)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (/ y x)))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 z)) (+.f64 (/.f64 y x) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log -1) (+ (log z) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x))))) (+ t (* (log t) (- 1/2 a)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (+.f64 (log.f64 z) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (neg.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x)) x)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(- (+ (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 t) (- 1/2 a)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (+.f64 (log.f64 z) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))) x))) x)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(- (+ (log x) (log z)) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 x)) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log x) (+ (log z) (/ y x))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 z) (/.f64 y x))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log x) (+ (log z) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (+.f64 (log.f64 z) (log.f64 x)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x x))))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log x) (+ (log z) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (+.f64 (log.f64 z) (log.f64 x)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log z) (* -1 (log (/ 1 y)))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 z) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(- (+ (log z) (+ (* -1 (log (/ 1 y))) (/ x y))) (+ t (* (log t) (- 1/2 a)))) |
(-.f64 (+.f64 (log.f64 z) (+.f64 (/.f64 x y) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) y))))) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
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(pow (log (/ 1 x)) 2) |
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
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(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
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(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
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(pow (log (/ 1 y)) 2) |
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) |
(+ (* -2 (/ (* x (log (/ 1 y))) y)) (pow (log (/ 1 y)) 2)) |
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(pow (+ (log -1) (* -1 (log (/ -1 y)))) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)))) #s(literal 2 binary64)) |
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(pow (log z) 2) |
(pow.f64 (log.f64 z) #s(literal 2 binary64)) |
(pow (log z) 2) |
(pow.f64 (log.f64 z) #s(literal 2 binary64)) |
(pow (log z) 2) |
(pow.f64 (log.f64 z) #s(literal 2 binary64)) |
(pow (log z) 2) |
(pow.f64 (log.f64 z) #s(literal 2 binary64)) |
(pow (log (/ 1 z)) 2) |
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) |
(pow (log (/ 1 z)) 2) |
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) |
(pow (log (/ 1 z)) 2) |
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) |
(pow (log (/ 1 z)) 2) |
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 z)))) 2) |
(pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)))) #s(literal 2 binary64)) |
Compiled 65441 to 4309 computations (93.4% saved)
36 alts after pruning (36 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1632 | 27 | 1659 |
| Fresh | 11 | 9 | 20 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1648 | 36 | 1684 |
| Status | Accuracy | Program |
|---|---|---|
| 53.3% | (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 x y)))) (*.f64 (log.f64 (*.f64 z (+.f64 x y))) (log.f64 (/.f64 z (+.f64 x y)))) (-.f64 (*.f64 (log.f64 t) (neg.f64 (-.f64 #s(literal 1/2 binary64) a))) t)) | |
| 75.9% | (fma.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) a (-.f64 (log.f64 (*.f64 z (+.f64 x y))) t)) | |
| 42.7% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (/.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t))) (+.f64 #s(literal 1/2 binary64) a))) | |
| 10.5% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)) | |
| 20.3% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t) | |
| 42.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 2 binary64)) (*.f64 t t)))) | |
| 10.5% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))))) | |
| 20.2% | (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) | |
| ▶ | 56.4% | (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
| 75.9% | (-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) | |
| 75.0% | (-.f64 (-.f64 (log.f64 z) t) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) | |
| 59.3% | (-.f64 (-.f64 (log.f64 z) t) (-.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) (log.f64 (+.f64 x y)))) | |
| 79.6% | (-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) | |
| 63.5% | (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) | |
| 55.8% | (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (*.f64 z (+.f64 x y)))))) t) | |
| ▶ | 77.4% | (-.f64 (*.f64 (log.f64 t) a) t) |
| 49.7% | (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) | |
| 63.5% | (-.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) | |
| 79.4% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) #s(literal 2 binary64))) a) (-.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)))) | |
| 71.5% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) #s(literal 3 binary64))) a) (+.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (log.f64 t)))))) | |
| 71.8% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 a (/.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (log.f64 t))))))) | |
| 59.3% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 a (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a))) | |
| 79.7% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) #s(literal 2 binary64))))))) | |
| 79.8% | (+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 41.3% | (+.f64 (log.f64 (+.f64 x y)) (/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (+.f64 (+.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))))) | |
| 41.3% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (/.f64 (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))))) | |
| ▶ | 57.8% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (*.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))))) |
| 41.2% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) | |
| 40.9% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) | |
| 44.3% | (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a)) | |
| 10.5% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) | |
| 20.2% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) | |
| 41.8% | (*.f64 (log.f64 t) a) | |
| 63.1% | (*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))) | |
| ▶ | 88.7% | (*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (+.f64 (/.f64 t a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)))))) |
| ▶ | 37.8% | (neg.f64 t) |
Compiled 1898 to 1144 computations (39.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 (+.f64 x y)) |
| ✓ | cost-diff | 13632 | (*.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
| ✓ | cost-diff | 13632 | (-.f64 (log.f64 z) (*.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))) |
| ✓ | cost-diff | 13632 | (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (*.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 x y) z) |
| ✓ | cost-diff | 0 | (log.f64 (*.f64 (+.f64 x y) z)) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
| ✓ | cost-diff | 0 | (log.f64 t) |
| ✓ | cost-diff | 0 | (*.f64 (log.f64 t) a) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (log.f64 t) a) t) |
| ✓ | cost-diff | -64 | (neg.f64 t) |
| ✓ | cost-diff | 6400 | (+.f64 (/.f64 t a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) |
| ✓ | cost-diff | 6400 | (-.f64 (/.f64 (log.f64 z) a) (+.f64 (/.f64 t a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)))) |
| ✓ | cost-diff | 6400 | (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (+.f64 (/.f64 t a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))))) |
| ✓ | cost-diff | 6400 | (*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (+.f64 (/.f64 t a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)))))) |
| 3754× | *-lowering-*.f32 |
| 3754× | *-lowering-*.f64 |
| 1896× | +-lowering-+.f64 |
| 1896× | +-lowering-+.f32 |
| 1492× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 383 |
| 1 | 117 | 374 |
| 2 | 313 | 360 |
| 3 | 1208 | 320 |
| 4 | 6262 | 320 |
| 0 | 8140 | 320 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a (+ (/ (log (+ y x)) a) (- (/ (log z) a) (+ (/ t a) (- (/ (* (log t) 1/2) a) (log t)))))) |
a |
(+ (/ (log (+ y x)) a) (- (/ (log z) a) (+ (/ t a) (- (/ (* (log t) 1/2) a) (log t))))) |
(/ (log (+ y x)) a) |
(log (+ y x)) |
(+ y x) |
y |
x |
(- (/ (log z) a) (+ (/ t a) (- (/ (* (log t) 1/2) a) (log t)))) |
(/ (log z) a) |
(log z) |
z |
(+ (/ t a) (- (/ (* (log t) 1/2) a) (log t))) |
(/ t a) |
t |
(- (/ (* (log t) 1/2) a) (log t)) |
(/ (* (log t) 1/2) a) |
(* (log t) 1/2) |
(log t) |
1/2 |
(neg t) |
t |
(- (* (log t) a) t) |
(* (log t) a) |
(log t) |
t |
a |
(- (- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) t) |
(- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) |
(log (* (+ x y) z)) |
(* (+ x y) z) |
(+ x y) |
x |
y |
z |
(/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a)) |
(* (- 1/4 (* a a)) (log t)) |
(- 1/4 (* a a)) |
1/4 |
(* a a) |
a |
(log t) |
t |
(+ 1/2 a) |
1/2 |
(+ (log (+ x y)) (- (log z) (* (- (* t t) (pow (* (log t) (- 1/2 a)) 2)) (/ 1 (- t (* (log t) (- 1/2 a))))))) |
(log (+ x y)) |
(+ x y) |
x |
y |
(- (log z) (* (- (* t t) (pow (* (log t) (- 1/2 a)) 2)) (/ 1 (- t (* (log t) (- 1/2 a)))))) |
(log z) |
z |
(* (- (* t t) (pow (* (log t) (- 1/2 a)) 2)) (/ 1 (- t (* (log t) (- 1/2 a))))) |
(- (* t t) (pow (* (log t) (- 1/2 a)) 2)) |
(* t t) |
t |
(pow (* (log t) (- 1/2 a)) 2) |
(* (log t) (- 1/2 a)) |
(log t) |
(- 1/2 a) |
1/2 |
a |
2 |
(/ 1 (- t (* (log t) (- 1/2 a)))) |
1 |
(- t (* (log t) (- 1/2 a))) |
| Outputs |
|---|
(* a (+ (/ (log (+ y x)) a) (- (/ (log z) a) (+ (/ t a) (- (/ (* (log t) 1/2) a) (log t)))))) |
(+.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)) (-.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)) (*.f64 a (+.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a))))))) |
a |
(+ (/ (log (+ y x)) a) (- (/ (log z) a) (+ (/ t a) (- (/ (* (log t) 1/2) a) (log t))))) |
(+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (+.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)))))) |
(/ (log (+ y x)) a) |
(/.f64 (log.f64 (+.f64 y x)) a) |
(log (+ y x)) |
(log.f64 (+.f64 y x)) |
(+ y x) |
(+.f64 y x) |
y |
x |
(- (/ (log z) a) (+ (/ t a) (- (/ (* (log t) 1/2) a) (log t)))) |
(-.f64 (/.f64 (log.f64 z) a) (+.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a))))) |
(/ (log z) a) |
(/.f64 (log.f64 z) a) |
(log z) |
(log.f64 z) |
z |
(+ (/ t a) (- (/ (* (log t) 1/2) a) (log t))) |
(+.f64 (/.f64 t a) (*.f64 (log.f64 t) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)))) |
(/ t a) |
(/.f64 t a) |
t |
(- (/ (* (log t) 1/2) a) (log t)) |
(*.f64 (log.f64 t) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(/ (* (log t) 1/2) a) |
(/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) |
(* (log t) 1/2) |
(*.f64 (log.f64 t) #s(literal 1/2 binary64)) |
(log t) |
(log.f64 t) |
1/2 |
#s(literal 1/2 binary64) |
(neg t) |
(-.f64 #s(literal 0 binary64) t) |
t |
(- (* (log t) a) t) |
(-.f64 (*.f64 a (log.f64 t)) t) |
(* (log t) a) |
(*.f64 a (log.f64 t)) |
(log t) |
(log.f64 t) |
t |
a |
(- (- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) t) |
(+.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (-.f64 #s(literal -1/2 binary64) a)) t)) |
(- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) |
(+.f64 (log.f64 (*.f64 z (+.f64 y x))) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (-.f64 #s(literal -1/2 binary64) a))) |
(log (* (+ x y) z)) |
(log.f64 (*.f64 z (+.f64 y x))) |
(* (+ x y) z) |
(*.f64 z (+.f64 y x)) |
(+ x y) |
(+.f64 y x) |
x |
y |
z |
(/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a)) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 a #s(literal 1/2 binary64))) |
(* (- 1/4 (* a a)) (log t)) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(- 1/4 (* a a)) |
(-.f64 #s(literal 1/4 binary64) (*.f64 a a)) |
1/4 |
#s(literal 1/4 binary64) |
(* a a) |
(*.f64 a a) |
a |
(log t) |
(log.f64 t) |
t |
(+ 1/2 a) |
(+.f64 a #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ (log (+ x y)) (- (log z) (* (- (* t t) (pow (* (log t) (- 1/2 a)) 2)) (/ 1 (- t (* (log t) (- 1/2 a))))))) |
(+.f64 (log.f64 (+.f64 y x)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(log (+ x y)) |
(log.f64 (+.f64 y x)) |
(+ x y) |
(+.f64 y x) |
x |
y |
(- (log z) (* (- (* t t) (pow (* (log t) (- 1/2 a)) 2)) (/ 1 (- t (* (log t) (- 1/2 a)))))) |
(-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(log z) |
(log.f64 z) |
z |
(* (- (* t t) (pow (* (log t) (- 1/2 a)) 2)) (/ 1 (- t (* (log t) (- 1/2 a))))) |
(+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(- (* t t) (pow (* (log t) (- 1/2 a)) 2)) |
(-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) |
(* t t) |
(*.f64 t t) |
t |
(pow (* (log t) (- 1/2 a)) 2) |
(pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) |
(* (log t) (- 1/2 a)) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) |
(log t) |
(log.f64 t) |
(- 1/2 a) |
(-.f64 #s(literal 1/2 binary64) a) |
1/2 |
#s(literal 1/2 binary64) |
a |
2 |
#s(literal 2 binary64) |
(/ 1 (- t (* (log t) (- 1/2 a)))) |
(/.f64 #s(literal 1 binary64) (+.f64 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
1 |
#s(literal 1 binary64) |
(- t (* (log t) (- 1/2 a))) |
(+.f64 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (-.f64 (log.f64 z) (*.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))))) |
| ✓ | accuracy | 99.5% | (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) |
| ✓ | accuracy | 94.4% | (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) |
| ✓ | accuracy | 58.3% | (*.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
| ✓ | accuracy | 99.8% | (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) |
| ✓ | accuracy | 99.6% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) |
| ✓ | accuracy | 76.4% | (log.f64 (*.f64 (+.f64 x y) z)) |
| ✓ | accuracy | 75.1% | (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a)) |
| ✓ | accuracy | 100.0% | (log.f64 t) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 (log.f64 t) a) t) |
| ✓ | accuracy | 99.6% | (*.f64 (log.f64 t) a) |
| ✓ | accuracy | 100.0% | (neg.f64 t) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) |
| ✓ | accuracy | 99.6% | (/.f64 (log.f64 (+.f64 y x)) a) |
| ✓ | accuracy | 99.6% | (/.f64 (log.f64 z) a) |
| ✓ | accuracy | 88.8% | (*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (+.f64 (/.f64 t a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)))))) |
| 167.0ms | 256× | 0 | valid |
Compiled 398 to 48 computations (87.9% saved)
ival-mult: 23.0ms (31.1% of total)ival-log: 16.0ms (21.7% of total)ival-div: 11.0ms (14.9% of total)ival-sub: 11.0ms (14.9% of total)ival-add: 8.0ms (10.8% of total)ival-pow: 3.0ms (4.1% of total)const: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* a (+ (/ (log (+ y x)) a) (- (/ (log z) a) (+ (/ t a) (- (/ (* (log t) 1/2) a) (log t))))))> |
#<alt (+ (/ (log (+ y x)) a) (- (/ (log z) a) (+ (/ t a) (- (/ (* (log t) 1/2) a) (log t)))))> |
#<alt (- (/ (log z) a) (+ (/ t a) (- (/ (* (log t) 1/2) a) (log t))))> |
#<alt (+ (/ t a) (- (/ (* (log t) 1/2) a) (log t)))> |
#<alt (neg t)> |
#<alt (- (* (log t) a) t)> |
#<alt (* (log t) a)> |
#<alt (log t)> |
#<alt (- (- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) t)> |
#<alt (- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a)))> |
#<alt (log (* (+ x y) z))> |
#<alt (* (+ x y) z)> |
#<alt (+ (log (+ x y)) (- (log z) (* (- (* t t) (pow (* (log t) (- 1/2 a)) 2)) (/ 1 (- t (* (log t) (- 1/2 a)))))))> |
#<alt (- (log z) (* (- (* t t) (pow (* (log t) (- 1/2 a)) 2)) (/ 1 (- t (* (log t) (- 1/2 a))))))> |
#<alt (* (- (* t t) (pow (* (log t) (- 1/2 a)) 2)) (/ 1 (- t (* (log t) (- 1/2 a)))))> |
#<alt (log (+ x y))> |
#<alt (/ (log z) a)> |
#<alt (/ (log (+ y x)) a)> |
#<alt (/ (* (log t) 1/2) a)> |
#<alt (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))> |
#<alt (* (- 1/4 (* a a)) (log t))> |
#<alt (- (* t t) (pow (* (log t) (- 1/2 a)) 2))> |
#<alt (pow (* (log t) (- 1/2 a)) 2)> |
| Outputs |
|---|
#<alt (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t))))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t))))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t))))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t))))> |
#<alt (* a (log t))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (log t))> |
#<alt (* -1 (* a (- (+ (* -1 (log t)) (+ (* -1 (/ (log z) a)) (* -1 (/ (log (+ x y)) a)))) (+ (* -1 (/ t a)) (* -1/2 (/ (log t) a))))))> |
#<alt (* -1 (* a (- (+ (* -1 (log t)) (+ (* -1 (/ (log z) a)) (* -1 (/ (log (+ x y)) a)))) (+ (* -1 (/ t a)) (* -1/2 (/ (log t) a))))))> |
#<alt (* -1 (* a (- (+ (* -1 (log t)) (+ (* -1 (/ (log z) a)) (* -1 (/ (log (+ x y)) a)))) (+ (* -1 (/ t a)) (* -1/2 (/ (log t) a))))))> |
#<alt (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (+ (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x))> |
#<alt (+ (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))> |
#<alt (+ (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y))> |
#<alt (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y)))> |
#<alt (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y))> |
#<alt (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))))> |
#<alt (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))))> |
#<alt (* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (+ (* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y))> |
#<alt (+ (* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))> |
#<alt (+ (* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x))> |
#<alt (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x)))> |
#<alt (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x))> |
#<alt (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))))> |
#<alt (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* 1/2 (/ (log t) a))))> |
#<alt (+ (* -1 t) (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* 1/2 (/ (log t) a)))))> |
#<alt (+ (* -1 t) (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* 1/2 (/ (log t) a)))))> |
#<alt (+ (* -1 t) (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* 1/2 (/ (log t) a)))))> |
#<alt (* -1 t)> |
#<alt (* t (- (/ (* a (- (+ (* -1 (log (/ 1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* -1/2 (/ (log (/ 1 t)) a)))) t) 1))> |
#<alt (* t (- (/ (* a (- (+ (* -1 (log (/ 1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* -1/2 (/ (log (/ 1 t)) a)))) t) 1))> |
#<alt (* t (- (/ (* a (- (+ (* -1 (log (/ 1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* -1/2 (/ (log (/ 1 t)) a)))) t) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (* a (- (+ (log -1) (+ (* -1 (log (/ -1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (* a (- (+ (log -1) (+ (* -1 (log (/ -1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (* a (- (+ (log -1) (+ (* -1 (log (/ -1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)))) t)))))> |
#<alt (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (/ y (* a x)) (+ (/ (log x) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* y (+ (* -1/2 (/ y (* a (pow x 2)))) (/ 1 (* a x)))) (+ (/ (log x) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* y (+ (* y (- (* 1/3 (/ y (* a (pow x 3)))) (* 1/2 (/ 1 (* a (pow x 2)))))) (/ 1 (* a x)))) (+ (/ (log x) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (+ (/ x (* a y)) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (+ (/ x (* a y)) (/ (log z) a))))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (+ (* 1/3 (/ (pow x 3) (* a (pow y 3)))) (+ (/ x (* a y)) (/ (log z) a)))))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ x (* a y)) (+ (/ (log -1) a) (/ (log z) a))))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1 (/ (+ (* -1 (/ x a)) (* 1/2 (/ (pow x 2) (* a y)))) y)) (+ (/ (log -1) a) (/ (log z) a))))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* 1/3 (/ (pow x 3) (* a y)))) y))) y)) (+ (/ (log -1) a) (/ (log z) a))))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (/ x (* a y)) (+ (/ (log y) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* x (+ (* -1/2 (/ x (* a (pow y 2)))) (/ 1 (* a y)))) (+ (/ (log y) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* x (+ (* x (- (* 1/3 (/ x (* a (pow y 3)))) (* 1/2 (/ 1 (* a (pow y 2)))))) (/ 1 (* a y)))) (+ (/ (log y) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (+ (/ y (* a x)) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (+ (/ y (* a x)) (/ (log z) a))))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (+ (* 1/3 (/ (pow y 3) (* a (pow x 3)))) (+ (/ y (* a x)) (/ (log z) a)))))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ y (* a x)) (+ (/ (log -1) a) (/ (log z) a))))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* 1/2 (/ (pow y 2) (* a x)))) x)) (+ (/ (log -1) a) (/ (log z) a))))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) a)) (* 1/3 (/ (pow y 3) (* a x)))) x))) x)) (+ (/ (log -1) a) (/ (log z) a))))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) a)> |
#<alt (log t)> |
#<alt (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (log t)> |
#<alt (+ (log t) (* -1 (/ (- (+ (* -1 (log z)) (* -1 (log (+ x y)))) (+ (* -1 t) (* -1/2 (log t)))) a)))> |
#<alt (+ (log t) (* -1 (/ (- (+ (* -1 (log z)) (* -1 (log (+ x y)))) (+ (* -1 t) (* -1/2 (log t)))) a)))> |
#<alt (+ (log t) (* -1 (/ (- (+ (* -1 (log z)) (* -1 (log (+ x y)))) (+ (* -1 t) (* -1/2 (log t)))) a)))> |
#<alt (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* 1/2 (/ (log t) a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ t a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (* 1/2 (/ (log t) a)))> |
#<alt (- (+ (log t) (+ (* -1 (/ t a)) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (* 1/2 (/ (log t) a)))> |
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#<alt (* -1 (/ t a))> |
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#<alt (* -1/2 (/ (log (/ 1 t)) a))> |
#<alt (* -1/2 (/ (log (/ 1 t)) a))> |
#<alt (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a))> |
#<alt (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a))> |
#<alt (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a))> |
#<alt (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a))> |
#<alt (* 1/2 (/ (log t) a))> |
#<alt (* 1/2 (/ (log t) a))> |
#<alt (* 1/2 (/ (log t) a))> |
#<alt (* 1/2 (/ (log t) a))> |
#<alt (* 1/2 (/ (log t) a))> |
#<alt (* 1/2 (/ (log t) a))> |
#<alt (* 1/2 (/ (log t) a))> |
#<alt (* 1/2 (/ (log t) a))> |
#<alt (* 1/2 (/ (log t) a))> |
#<alt (* 1/2 (/ (log t) a))> |
#<alt (* 1/2 (/ (log t) a))> |
#<alt (* 1/2 (/ (log t) a))> |
#<alt (* 1/2 (log t))> |
#<alt (+ (* -1 (* a (log t))) (* 1/2 (log t)))> |
#<alt (+ (* -1 (* a (log t))) (* 1/2 (log t)))> |
#<alt (+ (* -1 (* a (log t))) (* 1/2 (log t)))> |
#<alt (* -1 (* a (log t)))> |
#<alt (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))> |
#<alt (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))> |
#<alt (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))> |
#<alt (* -1 (* a (log t)))> |
#<alt (* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))> |
#<alt (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))> |
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))> |
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))> |
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))> |
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (* 1/4 (log t))> |
#<alt (+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))> |
#<alt (+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))> |
#<alt (+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))> |
#<alt (* -1 (* (pow a 2) (log t)))> |
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))> |
#<alt (* -1 (* (pow a 2) (log t)))> |
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (log t) (- 1/4 (pow a 2)))> |
#<alt (* (log t) (- 1/4 (pow a 2)))> |
#<alt (* (log t) (- 1/4 (pow a 2)))> |
#<alt (* (log t) (- 1/4 (pow a 2)))> |
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))> |
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))> |
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))> |
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))> |
#<alt (* -1 (* (pow (log t) 2) (pow (- 1/2 a) 2)))> |
#<alt (- (pow t 2) (* (pow (log t) 2) (pow (- 1/2 a) 2)))> |
#<alt (- (pow t 2) (* (pow (log t) 2) (pow (- 1/2 a) 2)))> |
#<alt (- (pow t 2) (* (pow (log t) 2) (pow (- 1/2 a) 2)))> |
#<alt (pow t 2)> |
#<alt (* (pow t 2) (+ 1 (* -1 (/ (* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2)) (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (* -1 (/ (* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2)) (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (* -1 (/ (* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2)) (pow t 2)))))> |
#<alt (pow t 2)> |
#<alt (* (pow t 2) (+ 1 (* -1 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2)) (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (* -1 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2)) (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1 (* -1 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2)) (pow t 2)))))> |
#<alt (- (pow t 2) (* 1/4 (pow (log t) 2)))> |
#<alt (- (+ (* a (pow (log t) 2)) (pow t 2)) (* 1/4 (pow (log t) 2)))> |
#<alt (- (+ (* a (- (* -1 (* a (pow (log t) 2))) (* -1 (pow (log t) 2)))) (pow t 2)) (* 1/4 (pow (log t) 2)))> |
#<alt (- (+ (* a (- (* -1 (* a (pow (log t) 2))) (* -1 (pow (log t) 2)))) (pow t 2)) (* 1/4 (pow (log t) 2)))> |
#<alt (* -1 (* (pow a 2) (pow (log t) 2)))> |
#<alt (* (pow a 2) (- (/ (pow (log t) 2) a) (pow (log t) 2)))> |
#<alt (* (pow a 2) (- (/ (pow t 2) (pow a 2)) (+ (* -1 (/ (pow (log t) 2) a)) (+ (* 1/4 (/ (pow (log t) 2) (pow a 2))) (pow (log t) 2)))))> |
#<alt (* (pow a 2) (- (/ (pow t 2) (pow a 2)) (+ (* -1 (/ (pow (log t) 2) a)) (+ (* 1/4 (/ (pow (log t) 2) (pow a 2))) (pow (log t) 2)))))> |
#<alt (* -1 (* (pow a 2) (pow (log t) 2)))> |
#<alt (* (pow a 2) (- (/ (pow (log t) 2) a) (pow (log t) 2)))> |
#<alt (* (pow a 2) (- (* -1 (/ (- (* -1 (/ (- (pow t 2) (* 1/4 (pow (log t) 2))) a)) (pow (log t) 2)) a)) (pow (log t) 2)))> |
#<alt (* (pow a 2) (- (* -1 (/ (- (* -1 (/ (- (pow t 2) (* 1/4 (pow (log t) 2))) a)) (pow (log t) 2)) a)) (pow (log t) 2)))> |
#<alt (* (pow (log t) 2) (pow (- 1/2 a) 2))> |
#<alt (* (pow (log t) 2) (pow (- 1/2 a) 2))> |
#<alt (* (pow (log t) 2) (pow (- 1/2 a) 2))> |
#<alt (* (pow (log t) 2) (pow (- 1/2 a) 2))> |
#<alt (* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2))> |
#<alt (* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2))> |
#<alt (* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2))> |
#<alt (* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2))> |
#<alt (* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2))> |
#<alt (* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2))> |
#<alt (* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2))> |
#<alt (* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2))> |
#<alt (* 1/4 (pow (log t) 2))> |
#<alt (+ (* -1 (* a (pow (log t) 2))) (* 1/4 (pow (log t) 2)))> |
#<alt (+ (* 1/4 (pow (log t) 2)) (* a (+ (* -1 (pow (log t) 2)) (* a (pow (log t) 2)))))> |
#<alt (+ (* 1/4 (pow (log t) 2)) (* a (+ (* -1 (pow (log t) 2)) (* a (pow (log t) 2)))))> |
#<alt (* (pow a 2) (pow (log t) 2))> |
#<alt (* (pow a 2) (+ (* -1 (/ (pow (log t) 2) a)) (pow (log t) 2)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (pow (log t) 2) a)) (+ (* 1/4 (/ (pow (log t) 2) (pow a 2))) (pow (log t) 2))))> |
#<alt (* (pow a 2) (+ (* -1 (/ (pow (log t) 2) a)) (+ (* 1/4 (/ (pow (log t) 2) (pow a 2))) (pow (log t) 2))))> |
#<alt (* (pow a 2) (pow (log t) 2))> |
#<alt (* (pow a 2) (+ (* -1 (/ (pow (log t) 2) a)) (pow (log t) 2)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log t) 2) a)) (pow (log t) 2)) a)) (pow (log t) 2)))> |
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log t) 2) a)) (pow (log t) 2)) a)) (pow (log t) 2)))> |
192 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | a | @ | 0 | (/ (log z) a) |
| 8.0ms | a | @ | inf | (/ (log z) a) |
| 7.0ms | t | @ | inf | (- (/ (log z) a) (+ (/ t a) (- (/ (* (log t) 1/2) a) (log t)))) |
| 5.0ms | t | @ | -inf | (+ (log (+ x y)) (- (log z) (* (- (* t t) (pow (* (log t) (- 1/2 a)) 2)) (/ 1 (- t (* (log t) (- 1/2 a))))))) |
| 5.0ms | a | @ | inf | (/ (log (+ y x)) a) |
| 1× | batch-egg-rewrite |
| 3690× | *-lowering-*.f32 |
| 3690× | *-lowering-*.f64 |
| 1778× | /-lowering-/.f32 |
| 1778× | /-lowering-/.f64 |
| 1596× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 270 |
| 1 | 341 | 212 |
| 2 | 3863 | 203 |
| 0 | 8149 | 203 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a (+ (/ (log (+ y x)) a) (- (/ (log z) a) (+ (/ t a) (- (/ (* (log t) 1/2) a) (log t)))))) |
(+ (/ (log (+ y x)) a) (- (/ (log z) a) (+ (/ t a) (- (/ (* (log t) 1/2) a) (log t))))) |
(- (/ (log z) a) (+ (/ t a) (- (/ (* (log t) 1/2) a) (log t)))) |
(+ (/ t a) (- (/ (* (log t) 1/2) a) (log t))) |
(neg t) |
(- (* (log t) a) t) |
(* (log t) a) |
(log t) |
(- (- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) t) |
(- (log (* (+ x y) z)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) |
(log (* (+ x y) z)) |
(* (+ x y) z) |
(+ (log (+ x y)) (- (log z) (* (- (* t t) (pow (* (log t) (- 1/2 a)) 2)) (/ 1 (- t (* (log t) (- 1/2 a))))))) |
(- (log z) (* (- (* t t) (pow (* (log t) (- 1/2 a)) 2)) (/ 1 (- t (* (log t) (- 1/2 a)))))) |
(* (- (* t t) (pow (* (log t) (- 1/2 a)) 2)) (/ 1 (- t (* (log t) (- 1/2 a))))) |
(log (+ x y)) |
(/ (log z) a) |
(/ (log (+ y x)) a) |
(/ (* (log t) 1/2) a) |
(/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a)) |
(* (- 1/4 (* a a)) (log t)) |
(- (* t t) (pow (* (log t) (- 1/2 a)) 2)) |
(pow (* (log t) (- 1/2 a)) 2) |
| Outputs |
|---|
(+.f64 (*.f64 a (/.f64 (log.f64 (+.f64 y x)) a)) (*.f64 a (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)))) |
(+.f64 (*.f64 a (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t))) (*.f64 a (/.f64 (log.f64 (+.f64 y x)) a))) |
(fma.f64 a (/.f64 (log.f64 (+.f64 y x)) a) (*.f64 a (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)))) |
(fma.f64 (/.f64 (log.f64 (+.f64 y x)) a) a (*.f64 a (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 (log.f64 (+.f64 y x)) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 a (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a (/.f64 (log.f64 (+.f64 y x)) a)) (*.f64 a (/.f64 (log.f64 (+.f64 y x)) a))) (-.f64 (*.f64 (*.f64 a (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t))) (*.f64 a (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)))) (*.f64 (*.f64 a (/.f64 (log.f64 (+.f64 y x)) a)) (*.f64 a (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 a (/.f64 (log.f64 (+.f64 y x)) a)) (*.f64 a (/.f64 (log.f64 (+.f64 y x)) a))) (*.f64 (*.f64 a (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t))) (*.f64 a (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t))))) (-.f64 (*.f64 a (/.f64 (log.f64 (+.f64 y x)) a)) (*.f64 a (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t))))) |
(/.f64 (*.f64 a (+.f64 (pow.f64 (/.f64 (log.f64 (+.f64 y x)) a) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (log.f64 (+.f64 y x)) a) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)) (-.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a))))) |
(/.f64 (*.f64 a (-.f64 (pow.f64 (/.f64 (log.f64 (+.f64 y x)) a) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)) #s(literal 2 binary64)))) (+.f64 (-.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 (log.f64 z) t) a)) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (log.f64 (+.f64 y x)) a) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)) #s(literal 3 binary64))) a) (+.f64 (pow.f64 (/.f64 (log.f64 (+.f64 y x)) a) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)) (-.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (+.f64 y x)) a) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)) #s(literal 2 binary64))) a) (+.f64 (-.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 (log.f64 z) t) a)) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)))) |
(*.f64 a (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64))))) (log.f64 t))) |
(*.f64 (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64))))) (log.f64 t)) a) |
(+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t))) |
(+.f64 (/.f64 (log.f64 z) a) (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64)))) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a))) |
(+.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64)))) (log.f64 t)))) |
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64))))) (log.f64 t)) |
(-.f64 (/.f64 (log.f64 z) a) (-.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64)))) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a))) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64)))) (log.f64 t))) |
(-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (+.f64 y x)) a) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 (log.f64 z) t) a)) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)))) (/.f64 (pow.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 (log.f64 z) t) a)) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 (log.f64 z) t) a)) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) |
(-.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 y x)))) (/.f64 t a)) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) |
(-.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 y x)))) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 t a)) |
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(/.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (+.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (log.f64 t)))) (*.f64 (+.f64 a #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (+.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (log.f64 t)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (log.f64 t))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64)) (+.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (log.f64 t))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (log.f64 t))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (log.f64 t)))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (+.f64 a #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (log.f64 t)))) (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (+.f64 a #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (log.f64 t))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal -2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) #s(literal -1 binary64)) |
(*.f64 (log.f64 t) (*.f64 (-.f64 #s(literal 1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) a) (*.f64 (log.f64 t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1/2 binary64) a)) (pow.f64 (log.f64 t) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (pow.f64 (log.f64 t) #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) a) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (pow.f64 (*.f64 (log.f64 t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (exp.f64 (log.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(*.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 t)) (-.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 t)) |
(*.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 0 binary64) (log.f64 t))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 t) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log.f64 t) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a a)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 a (-.f64 a #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 1 binary64)) (pow.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 t)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 1 binary64)) (pow.f64 (log.f64 t) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 4866× | +-lowering-+.f64 |
| 4866× | +-lowering-+.f32 |
| 3430× | *-lowering-*.f32 |
| 3430× | *-lowering-*.f64 |
| 1958× | --lowering--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1216 | 16504 |
| 1 | 4321 | 15347 |
| 0 | 8536 | 15347 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (log t)) |
(* -1 (* a (- (+ (* -1 (log t)) (+ (* -1 (/ (log z) a)) (* -1 (/ (log (+ x y)) a)))) (+ (* -1 (/ t a)) (* -1/2 (/ (log t) a)))))) |
(* -1 (* a (- (+ (* -1 (log t)) (+ (* -1 (/ (log z) a)) (* -1 (/ (log (+ x y)) a)))) (+ (* -1 (/ t a)) (* -1/2 (/ (log t) a)))))) |
(* -1 (* a (- (+ (* -1 (log t)) (+ (* -1 (/ (log z) a)) (* -1 (/ (log (+ x y)) a)))) (+ (* -1 (/ t a)) (* -1/2 (/ (log t) a)))))) |
(* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(+ (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x)) |
(+ (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))) |
(+ (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y)) |
(+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y))) |
(+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y)) |
(+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(+ (* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y)) |
(+ (* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(+ (* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x)) |
(+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x))) |
(+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x)) |
(+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
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t |
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(+ (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) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(* -1 (/ (log (/ 1 z)) a)) |
(* -1 (/ (log (/ 1 z)) a)) |
(* -1 (/ (log (/ 1 z)) a)) |
(* -1 (/ (log (/ 1 z)) a)) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) a) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) a) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) a) |
(/ (+ (log -1) (* -1 (log (/ -1 z)))) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log z) a) |
(/ (log x) a) |
(+ (/ y (* a x)) (/ (log x) a)) |
(+ (* y (+ (* -1/2 (/ y (* a (pow x 2)))) (/ 1 (* a x)))) (/ (log x) a)) |
(+ (* y (+ (* y (- (* 1/3 (/ y (* a (pow x 3)))) (* 1/2 (/ 1 (* a (pow x 2)))))) (/ 1 (* a x)))) (/ (log x) a)) |
(* -1 (/ (log (/ 1 y)) a)) |
(+ (* -1 (/ (log (/ 1 y)) a)) (/ x (* a y))) |
(+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (/ x (* a y)))) |
(+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (+ (* 1/3 (/ (pow x 3) (* a (pow y 3)))) (/ x (* a y))))) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) a) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ x (* a y)) (/ (log -1) a))) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1 (/ (+ (* -1 (/ x a)) (* 1/2 (/ (pow x 2) (* a y)))) y)) (/ (log -1) a))) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* 1/3 (/ (pow x 3) (* a y)))) y))) y)) (/ (log -1) a))) |
(/ (log y) a) |
(+ (/ x (* a y)) (/ (log y) a)) |
(+ (* x (+ (* -1/2 (/ x (* a (pow y 2)))) (/ 1 (* a y)))) (/ (log y) a)) |
(+ (* x (+ (* x (- (* 1/3 (/ x (* a (pow y 3)))) (* 1/2 (/ 1 (* a (pow y 2)))))) (/ 1 (* a y)))) (/ (log y) a)) |
(* -1 (/ (log (/ 1 x)) a)) |
(+ (* -1 (/ (log (/ 1 x)) a)) (/ y (* a x))) |
(+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (/ y (* a x)))) |
(+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (+ (* 1/3 (/ (pow y 3) (* a (pow x 3)))) (/ y (* a x))))) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) a) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ y (* a x)) (/ (log -1) a))) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* 1/2 (/ (pow y 2) (* a x)))) x)) (/ (log -1) a))) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) a)) (* 1/3 (/ (pow y 3) (* a x)))) x))) x)) (/ (log -1) a))) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* -1/2 (/ (log (/ 1 t)) a)) |
(* -1/2 (/ (log (/ 1 t)) a)) |
(* -1/2 (/ (log (/ 1 t)) a)) |
(* -1/2 (/ (log (/ 1 t)) a)) |
(* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) |
(* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) |
(* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) |
(* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (log t)) |
(+ (* -1 (* a (log t))) (* 1/2 (log t))) |
(+ (* -1 (* a (log t))) (* 1/2 (log t))) |
(+ (* -1 (* a (log t))) (* 1/2 (log t))) |
(* -1 (* a (log t))) |
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))) |
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))) |
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))) |
(* -1 (* a (log t))) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(* 1/4 (log t)) |
(+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t))) |
(+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t))) |
(+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t))) |
(* -1 (* (pow a 2) (log t))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(* -1 (* (pow a 2) (log t))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(* (log t) (- 1/4 (pow a 2))) |
(* (log t) (- 1/4 (pow a 2))) |
(* (log t) (- 1/4 (pow a 2))) |
(* (log t) (- 1/4 (pow a 2))) |
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2)))) |
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2)))) |
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2)))) |
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2)))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) |
(* -1 (* (pow (log t) 2) (pow (- 1/2 a) 2))) |
(- (pow t 2) (* (pow (log t) 2) (pow (- 1/2 a) 2))) |
(- (pow t 2) (* (pow (log t) 2) (pow (- 1/2 a) 2))) |
(- (pow t 2) (* (pow (log t) 2) (pow (- 1/2 a) 2))) |
(pow t 2) |
(* (pow t 2) (+ 1 (* -1 (/ (* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2)) (pow t 2))))) |
(* (pow t 2) (+ 1 (* -1 (/ (* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2)) (pow t 2))))) |
(* (pow t 2) (+ 1 (* -1 (/ (* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2)) (pow t 2))))) |
(pow t 2) |
(* (pow t 2) (+ 1 (* -1 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2)) (pow t 2))))) |
(* (pow t 2) (+ 1 (* -1 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2)) (pow t 2))))) |
(* (pow t 2) (+ 1 (* -1 (/ (* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2)) (pow t 2))))) |
(- (pow t 2) (* 1/4 (pow (log t) 2))) |
(- (+ (* a (pow (log t) 2)) (pow t 2)) (* 1/4 (pow (log t) 2))) |
(- (+ (* a (- (* -1 (* a (pow (log t) 2))) (* -1 (pow (log t) 2)))) (pow t 2)) (* 1/4 (pow (log t) 2))) |
(- (+ (* a (- (* -1 (* a (pow (log t) 2))) (* -1 (pow (log t) 2)))) (pow t 2)) (* 1/4 (pow (log t) 2))) |
(* -1 (* (pow a 2) (pow (log t) 2))) |
(* (pow a 2) (- (/ (pow (log t) 2) a) (pow (log t) 2))) |
(* (pow a 2) (- (/ (pow t 2) (pow a 2)) (+ (* -1 (/ (pow (log t) 2) a)) (+ (* 1/4 (/ (pow (log t) 2) (pow a 2))) (pow (log t) 2))))) |
(* (pow a 2) (- (/ (pow t 2) (pow a 2)) (+ (* -1 (/ (pow (log t) 2) a)) (+ (* 1/4 (/ (pow (log t) 2) (pow a 2))) (pow (log t) 2))))) |
(* -1 (* (pow a 2) (pow (log t) 2))) |
(* (pow a 2) (- (/ (pow (log t) 2) a) (pow (log t) 2))) |
(* (pow a 2) (- (* -1 (/ (- (* -1 (/ (- (pow t 2) (* 1/4 (pow (log t) 2))) a)) (pow (log t) 2)) a)) (pow (log t) 2))) |
(* (pow a 2) (- (* -1 (/ (- (* -1 (/ (- (pow t 2) (* 1/4 (pow (log t) 2))) a)) (pow (log t) 2)) a)) (pow (log t) 2))) |
(* (pow (log t) 2) (pow (- 1/2 a) 2)) |
(* (pow (log t) 2) (pow (- 1/2 a) 2)) |
(* (pow (log t) 2) (pow (- 1/2 a) 2)) |
(* (pow (log t) 2) (pow (- 1/2 a) 2)) |
(* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2)) |
(* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2)) |
(* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2)) |
(* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2)) |
(* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2)) |
(* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2)) |
(* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2)) |
(* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2)) |
(* 1/4 (pow (log t) 2)) |
(+ (* -1 (* a (pow (log t) 2))) (* 1/4 (pow (log t) 2))) |
(+ (* 1/4 (pow (log t) 2)) (* a (+ (* -1 (pow (log t) 2)) (* a (pow (log t) 2))))) |
(+ (* 1/4 (pow (log t) 2)) (* a (+ (* -1 (pow (log t) 2)) (* a (pow (log t) 2))))) |
(* (pow a 2) (pow (log t) 2)) |
(* (pow a 2) (+ (* -1 (/ (pow (log t) 2) a)) (pow (log t) 2))) |
(* (pow a 2) (+ (* -1 (/ (pow (log t) 2) a)) (+ (* 1/4 (/ (pow (log t) 2) (pow a 2))) (pow (log t) 2)))) |
(* (pow a 2) (+ (* -1 (/ (pow (log t) 2) a)) (+ (* 1/4 (/ (pow (log t) 2) (pow a 2))) (pow (log t) 2)))) |
(* (pow a 2) (pow (log t) 2)) |
(* (pow a 2) (+ (* -1 (/ (pow (log t) 2) a)) (pow (log t) 2))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log t) 2) a)) (pow (log t) 2)) a)) (pow (log t) 2))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log t) 2) a)) (pow (log t) 2)) a)) (pow (log t) 2))) |
| Outputs |
|---|
(- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) |
(+.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(+.f64 (+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(+.f64 (+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(+.f64 (+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a))) (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t)) |
(* a (log t)) |
(*.f64 (log.f64 t) a) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(*.f64 a (+.f64 (+.f64 (+.f64 (log.f64 t) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 x y)) a)) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(*.f64 a (+.f64 (+.f64 (+.f64 (log.f64 t) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 x y)) a)) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(*.f64 a (+.f64 (+.f64 (+.f64 (log.f64 t) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 x y)) a)) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) |
(* a (log t)) |
(*.f64 (log.f64 t) a) |
(* -1 (* a (- (+ (* -1 (log t)) (+ (* -1 (/ (log z) a)) (* -1 (/ (log (+ x y)) a)))) (+ (* -1 (/ t a)) (* -1/2 (/ (log t) a)))))) |
(*.f64 (-.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 t)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 x y)) a)) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a)) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (- (+ (* -1 (log t)) (+ (* -1 (/ (log z) a)) (* -1 (/ (log (+ x y)) a)))) (+ (* -1 (/ t a)) (* -1/2 (/ (log t) a)))))) |
(*.f64 (-.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 t)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 x y)) a)) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a)) (-.f64 #s(literal 0 binary64) a)) |
(* -1 (* a (- (+ (* -1 (log t)) (+ (* -1 (/ (log z) a)) (* -1 (/ (log (+ x y)) a)))) (+ (* -1 (/ t a)) (* -1/2 (/ (log t) a)))))) |
(*.f64 (-.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 t)) (/.f64 (log.f64 z) a)) (/.f64 (log.f64 (+.f64 x y)) a)) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a)) (-.f64 #s(literal 0 binary64) a)) |
(* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(*.f64 a (+.f64 (+.f64 (log.f64 t) (+.f64 (/.f64 (log.f64 z) a) (/.f64 (log.f64 x) a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) |
(+ (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x)) |
(+.f64 (*.f64 a (+.f64 (+.f64 (log.f64 t) (+.f64 (/.f64 (log.f64 z) a) (/.f64 (log.f64 x) a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) (/.f64 y x)) |
(+ (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))) |
(+.f64 (*.f64 a (+.f64 (+.f64 (log.f64 t) (+.f64 (/.f64 (log.f64 z) a) (/.f64 (log.f64 x) a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) |
(+ (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) |
(+.f64 (*.f64 a (+.f64 (+.f64 (log.f64 t) (+.f64 (/.f64 (log.f64 z) a) (/.f64 (log.f64 x) a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(*.f64 a (+.f64 (+.f64 (log.f64 t) (+.f64 (/.f64 (log.f64 z) a) (/.f64 (log.f64 y) a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))) |
(+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y)) |
(+.f64 (/.f64 x y) (*.f64 a (+.f64 (+.f64 (log.f64 t) (+.f64 (/.f64 (log.f64 z) a) (/.f64 (log.f64 y) a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a)))) |
(+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y))) |
(+.f64 (+.f64 (/.f64 x y) (*.f64 a (+.f64 (+.f64 (log.f64 t) (+.f64 (/.f64 (log.f64 z) a) (/.f64 (log.f64 y) a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 y y))) |
(+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y)))) |
(+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 y y)) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 x y) (*.f64 a (+.f64 (+.f64 (log.f64 t) (+.f64 (/.f64 (log.f64 z) a) (/.f64 (log.f64 y) a))) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(*.f64 a (+.f64 (log.f64 t) (+.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) a) (/.f64 (log.f64 #s(literal -1 binary64)) a)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) a)) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a)))) |
(+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y)) |
(+.f64 (/.f64 x y) (*.f64 a (+.f64 (log.f64 t) (+.f64 (-.f64 (+.f64 (/.f64 (log.f64 z) a) (/.f64 (log.f64 #s(literal -1 binary64)) a)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) a)) (/.f64 (-.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) t) a))))) |
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(* (pow (log t) 2) (pow (- 1/2 a) 2)) |
(*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1/2 binary64) a))) |
(* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2)) |
(*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1/2 binary64) a))) |
(* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2)) |
(*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1/2 binary64) a))) |
(* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2)) |
(*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1/2 binary64) a))) |
(* (pow (log (/ 1 t)) 2) (pow (- 1/2 a) 2)) |
(*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1/2 binary64) a))) |
(* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2)) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1/2 binary64) a)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) #s(literal 2 binary64))) |
(* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2)) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1/2 binary64) a)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) #s(literal 2 binary64))) |
(* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2)) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1/2 binary64) a)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) #s(literal 2 binary64))) |
(* (pow (+ (log -1) (* -1 (log (/ -1 t)))) 2) (pow (- 1/2 a) 2)) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 1/2 binary64) a)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) #s(literal 2 binary64))) |
(* 1/4 (pow (log t) 2)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) |
(+ (* -1 (* a (pow (log t) 2))) (* 1/4 (pow (log t) 2))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (*.f64 a (pow.f64 (log.f64 t) #s(literal 2 binary64)))) |
(+ (* 1/4 (pow (log t) 2)) (* a (+ (* -1 (pow (log t) 2)) (* a (pow (log t) 2))))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (*.f64 a (*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) a)))) |
(+ (* 1/4 (pow (log t) 2)) (* a (+ (* -1 (pow (log t) 2)) (* a (pow (log t) 2))))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (*.f64 a (*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) a)))) |
(* (pow a 2) (pow (log t) 2)) |
(*.f64 (*.f64 a a) (pow.f64 (log.f64 t) #s(literal 2 binary64))) |
(* (pow a 2) (+ (* -1 (/ (pow (log t) 2) a)) (pow (log t) 2))) |
(*.f64 (*.f64 a a) (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) a))) |
(* (pow a 2) (+ (* -1 (/ (pow (log t) 2) a)) (+ (* 1/4 (/ (pow (log t) 2) (pow a 2))) (pow (log t) 2)))) |
(*.f64 (*.f64 a a) (-.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (*.f64 a a))) (/.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) a))) |
(* (pow a 2) (+ (* -1 (/ (pow (log t) 2) a)) (+ (* 1/4 (/ (pow (log t) 2) (pow a 2))) (pow (log t) 2)))) |
(*.f64 (*.f64 a a) (-.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 t) #s(literal 2 binary64))) (*.f64 a a))) (/.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) a))) |
(* (pow a 2) (pow (log t) 2)) |
(*.f64 (*.f64 a a) (pow.f64 (log.f64 t) #s(literal 2 binary64))) |
(* (pow a 2) (+ (* -1 (/ (pow (log t) 2) a)) (pow (log t) 2))) |
(*.f64 (*.f64 a a) (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) a))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log t) 2) a)) (pow (log t) 2)) a)) (pow (log t) 2))) |
(*.f64 (*.f64 a a) (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) #s(literal -1/4 binary64)) a)) a))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log t) 2) a)) (pow (log t) 2)) a)) (pow (log t) 2))) |
(*.f64 (*.f64 a a) (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) #s(literal -1/4 binary64)) a)) a))) |
Compiled 48021 to 3730 computations (92.2% saved)
44 alts after pruning (42 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1382 | 18 | 1400 |
| Fresh | 7 | 24 | 31 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1392 | 44 | 1436 |
| Status | Accuracy | Program |
|---|---|---|
| 75.9% | (fma.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) a (-.f64 (log.f64 (*.f64 z (+.f64 x y))) t)) | |
| 10.5% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)) | |
| 20.3% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t) | |
| 42.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 2 binary64)) (*.f64 t t)))) | |
| 10.5% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))))) | |
| 20.2% | (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) | |
| ▶ | 74.8% | (-.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
| 47.3% | (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a))) t) | |
| 75.9% | (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) t) | |
| 39.0% | (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 1/2 binary64)))) t) | |
| ▶ | 56.3% | (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t) |
| 56.3% | (-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) | |
| 75.9% | (-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) | |
| 59.3% | (-.f64 (-.f64 (log.f64 z) t) (-.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) (log.f64 (+.f64 x y)))) | |
| 79.6% | (-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) | |
| 63.5% | (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) | |
| ✓ | 77.4% | (-.f64 (*.f64 (log.f64 t) a) t) |
| 49.7% | (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) | |
| 63.5% | (-.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) | |
| 79.4% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) #s(literal 2 binary64))) a) (-.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)))) | |
| 71.5% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) #s(literal 3 binary64))) a) (+.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (log.f64 t)))))) | |
| 71.8% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 a (/.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (log.f64 t))))))) | |
| 59.3% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 a (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a))) | |
| 79.8% | (+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 41.3% | (+.f64 (log.f64 (+.f64 x y)) (/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (+.f64 (+.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))))) | |
| 41.2% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) | |
| 40.9% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) | |
| 44.3% | (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a)) | |
| 35.6% | (*.f64 (-.f64 (pow.f64 (*.f64 a (log.f64 t)) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t (*.f64 a (log.f64 t))))) | |
| 10.5% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) | |
| 20.2% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) | |
| 67.1% | (*.f64 (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64))))) (log.f64 t)) a) | |
| 41.8% | (*.f64 (log.f64 t) a) | |
| 51.9% | (*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 t (+.f64 #s(literal 1/2 binary64) a)))))) | |
| 63.1% | (*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))) | |
| ▶ | 62.4% | (*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64))) |
| ▶ | 88.6% | (*.f64 a (fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (log.f64 z) t) (neg.f64 (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a))))) |
| ▶ | 26.8% | (*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) t) a)) |
| 63.0% | (*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 (*.f64 (log.f64 z) (+.f64 (-.f64 (/.f64 t a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t))) (*.f64 a (-.f64 (/.f64 (/.f64 t a) (/.f64 a t)) (pow.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) #s(literal 2 binary64))))) (*.f64 a (+.f64 (-.f64 (/.f64 t a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)))))) | |
| 30.0% | (*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) | |
| 48.4% | (*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) a))) | |
| 30.3% | (*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) | |
| 64.1% | (*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (*.f64 (-.f64 (/.f64 (/.f64 t a) (/.f64 a t)) (pow.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 t a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t))))))) | |
| ✓ | 37.8% | (neg.f64 t) |
Compiled 2174 to 1360 computations (37.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 z) |
| ✓ | cost-diff | 0 | (+.f64 (log.f64 z) (log.f64 y)) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (log.f64 z) (log.f64 y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 x y) z) |
| ✓ | cost-diff | 0 | (log.f64 (*.f64 (+.f64 x y) z)) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t) |
| ✓ | cost-diff | 0 | (*.f64 (log.f64 t) a) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (log.f64 t) a) t) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64)) |
| ✓ | cost-diff | 256 | (*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) t) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 0 binary64) t) a) |
| ✓ | cost-diff | 256 | (*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) t) a)) |
| ✓ | cost-diff | 6400 | (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a)) |
| ✓ | cost-diff | 6464 | (neg.f64 (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a))) |
| ✓ | cost-diff | 12864 | (fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (log.f64 z) t) (neg.f64 (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a)))) |
| ✓ | cost-diff | 12992 | (*.f64 a (fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (log.f64 z) t) (neg.f64 (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a))))) |
| 1916× | fnmsub-define |
| 1842× | +-lowering-+.f64 |
| 1842× | +-lowering-+.f32 |
| 1684× | sum4-define |
| 1334× | sum5-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 362 |
| 1 | 129 | 351 |
| 2 | 365 | 335 |
| 3 | 1460 | 319 |
| 4 | 6851 | 319 |
| 0 | 8196 | 319 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a (+ (* (/ 1 a) (- (log z) t)) (neg (- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a))))) |
a |
(+ (* (/ 1 a) (- (log z) t)) (neg (- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a)))) |
(/ 1 a) |
1 |
(- (log z) t) |
(log z) |
z |
t |
(neg (- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a))) |
(- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a)) |
(- (/ (* (log t) 1/2) a) (log t)) |
(/ (* (log t) 1/2) a) |
(* (log t) 1/2) |
(log t) |
1/2 |
(/ (log (+ y x)) a) |
(log (+ y x)) |
(+ y x) |
y |
x |
(* a (/ (- 0 t) a)) |
a |
(/ (- 0 t) a) |
(- 0 t) |
0 |
t |
(* t (+ (/ (* (log t) a) t) -1)) |
t |
(+ (/ (* (log t) a) t) -1) |
(/ (* (log t) a) t) |
(* (log t) a) |
(log t) |
a |
-1 |
(- (- (log (* (+ x y) z)) (* (/ (log t) (+ a 1/2)) (- 1/4 (* a a)))) t) |
(- (log (* (+ x y) z)) (* (/ (log t) (+ a 1/2)) (- 1/4 (* a a)))) |
(log (* (+ x y) z)) |
(* (+ x y) z) |
(+ x y) |
x |
y |
z |
(* (/ (log t) (+ a 1/2)) (- 1/4 (* a a))) |
(/ (log t) (+ a 1/2)) |
(log t) |
t |
(+ a 1/2) |
a |
1/2 |
(- 1/4 (* a a)) |
1/4 |
(* a a) |
(- (- (+ (log z) (log y)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) t) |
(- (+ (log z) (log y)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) |
(+ (log z) (log y)) |
(log z) |
z |
(log y) |
y |
(/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a)) |
(* (- 1/4 (* a a)) (log t)) |
(- 1/4 (* a a)) |
1/4 |
(* a a) |
a |
(log t) |
t |
(+ 1/2 a) |
1/2 |
| Outputs |
|---|
(* a (+ (* (/ 1 a) (- (log z) t)) (neg (- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a))))) |
(+.f64 (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (/.f64 (log.f64 (+.f64 y x)) a) (*.f64 (log.f64 t) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)))))) |
a |
(+ (* (/ 1 a) (- (log z) t)) (neg (- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a)))) |
(+.f64 (/.f64 (-.f64 (log.f64 z) t) a) (-.f64 (/.f64 (log.f64 (+.f64 y x)) a) (*.f64 (log.f64 t) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a))))) |
(/ 1 a) |
(/.f64 #s(literal 1 binary64) a) |
1 |
#s(literal 1 binary64) |
(- (log z) t) |
(-.f64 (log.f64 z) t) |
(log z) |
(log.f64 z) |
z |
t |
(neg (- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a))) |
(-.f64 (/.f64 (log.f64 (+.f64 y x)) a) (*.f64 (log.f64 t) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)))) |
(- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a)) |
(-.f64 (*.f64 (log.f64 t) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a))) (/.f64 (log.f64 (+.f64 y x)) a)) |
(- (/ (* (log t) 1/2) a) (log t)) |
(*.f64 (log.f64 t) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a))) |
(/ (* (log t) 1/2) a) |
(/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) |
(* (log t) 1/2) |
(*.f64 (log.f64 t) #s(literal 1/2 binary64)) |
(log t) |
(log.f64 t) |
1/2 |
#s(literal 1/2 binary64) |
(/ (log (+ y x)) a) |
(/.f64 (log.f64 (+.f64 y x)) a) |
(log (+ y x)) |
(log.f64 (+.f64 y x)) |
(+ y x) |
(+.f64 y x) |
y |
x |
(* a (/ (- 0 t) a)) |
(-.f64 #s(literal 0 binary64) t) |
a |
(/ (- 0 t) a) |
(/.f64 t (-.f64 #s(literal 0 binary64) a)) |
(- 0 t) |
(-.f64 #s(literal 0 binary64) t) |
0 |
#s(literal 0 binary64) |
t |
(* t (+ (/ (* (log t) a) t) -1)) |
(-.f64 (*.f64 a (log.f64 t)) t) |
t |
(+ (/ (* (log t) a) t) -1) |
(+.f64 (/.f64 (*.f64 a (log.f64 t)) t) #s(literal -1 binary64)) |
(/ (* (log t) a) t) |
(/.f64 (*.f64 a (log.f64 t)) t) |
(* (log t) a) |
(*.f64 a (log.f64 t)) |
(log t) |
(log.f64 t) |
a |
-1 |
#s(literal -1 binary64) |
(- (- (log (* (+ x y) z)) (* (/ (log t) (+ a 1/2)) (- 1/4 (* a a)))) t) |
(+.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (-.f64 #s(literal -1/2 binary64) a)) t)) |
(- (log (* (+ x y) z)) (* (/ (log t) (+ a 1/2)) (- 1/4 (* a a)))) |
(+.f64 (log.f64 (*.f64 z (+.f64 y x))) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (-.f64 #s(literal -1/2 binary64) a))) |
(log (* (+ x y) z)) |
(log.f64 (*.f64 z (+.f64 y x))) |
(* (+ x y) z) |
(*.f64 z (+.f64 y x)) |
(+ x y) |
(+.f64 y x) |
x |
y |
z |
(* (/ (log t) (+ a 1/2)) (- 1/4 (* a a))) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 a #s(literal 1/2 binary64))) |
(/ (log t) (+ a 1/2)) |
(/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) |
(log t) |
(log.f64 t) |
t |
(+ a 1/2) |
(+.f64 a #s(literal 1/2 binary64)) |
a |
1/2 |
#s(literal 1/2 binary64) |
(- 1/4 (* a a)) |
(-.f64 #s(literal 1/4 binary64) (*.f64 a a)) |
1/4 |
#s(literal 1/4 binary64) |
(* a a) |
(*.f64 a a) |
(- (- (+ (log z) (log y)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) t) |
(+.f64 (log.f64 z) (+.f64 (log.f64 y) (-.f64 (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (-.f64 #s(literal -1/2 binary64) a)) t))) |
(- (+ (log z) (log y)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) |
(+.f64 (log.f64 y) (+.f64 (log.f64 z) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (-.f64 #s(literal -1/2 binary64) a)))) |
(+ (log z) (log y)) |
(+.f64 (log.f64 z) (log.f64 y)) |
(log z) |
(log.f64 z) |
z |
(log y) |
(log.f64 y) |
y |
(/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a)) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 a #s(literal 1/2 binary64))) |
(* (- 1/4 (* a a)) (log t)) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(- 1/4 (* a a)) |
(-.f64 #s(literal 1/4 binary64) (*.f64 a a)) |
1/4 |
#s(literal 1/4 binary64) |
(* a a) |
(*.f64 a a) |
a |
(log t) |
(log.f64 t) |
t |
(+ 1/2 a) |
(+.f64 a #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) |
| ✓ | accuracy | 99.6% | (-.f64 (+.f64 (log.f64 z) (log.f64 y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) |
| ✓ | accuracy | 98.9% | (+.f64 (log.f64 z) (log.f64 y)) |
| ✓ | accuracy | 75.1% | (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a)) |
| ✓ | accuracy | 99.8% | (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.6% | (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) |
| ✓ | accuracy | 76.4% | (log.f64 (*.f64 (+.f64 x y) z)) |
| ✓ | accuracy | 75.5% | (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
| ✓ | accuracy | 100.0% | (log.f64 t) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 (log.f64 t) a) t) |
| ✓ | accuracy | 99.6% | (*.f64 (log.f64 t) a) |
| ✓ | accuracy | 84.8% | (*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 0 binary64) t) a) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) t) |
| ✓ | accuracy | 76.0% | (*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) t) a)) |
| ✓ | accuracy | 99.7% | (fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (log.f64 z) t) (neg.f64 (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a)))) |
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) |
| ✓ | accuracy | 99.6% | (/.f64 (log.f64 (+.f64 y x)) a) |
| ✓ | accuracy | 88.8% | (*.f64 a (fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (log.f64 z) t) (neg.f64 (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a))))) |
| 184.0ms | 256× | 0 | valid |
Compiled 370 to 49 computations (86.8% saved)
ival-mult: 46.0ms (44% of total)ival-log: 20.0ms (19.1% of total)ival-div: 13.0ms (12.4% of total)ival-sub: 11.0ms (10.5% of total)ival-add: 9.0ms (8.6% of total)compiled-spec: 4.0ms (3.8% of total)const: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* a (+ (* (/ 1 a) (- (log z) t)) (neg (- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a)))))> |
#<alt (+ (* (/ 1 a) (- (log z) t)) (neg (- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a))))> |
#<alt (neg (- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a)))> |
#<alt (- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a))> |
#<alt (* a (/ (- 0 t) a))> |
#<alt (/ (- 0 t) a)> |
#<alt (- 0 t)> |
#<alt (* t (+ (/ (* (log t) a) t) -1))> |
#<alt (+ (/ (* (log t) a) t) -1)> |
#<alt (/ (* (log t) a) t)> |
#<alt (* (log t) a)> |
#<alt (- (- (log (* (+ x y) z)) (* (/ (log t) (+ a 1/2)) (- 1/4 (* a a)))) t)> |
#<alt (- (log (* (+ x y) z)) (* (/ (log t) (+ a 1/2)) (- 1/4 (* a a))))> |
#<alt (log (* (+ x y) z))> |
#<alt (* (+ x y) z)> |
#<alt (- (- (+ (log z) (log y)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) t)> |
#<alt (- (+ (log z) (log y)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a)))> |
#<alt (+ (log z) (log y))> |
#<alt (log z)> |
#<alt (/ (log (+ y x)) a)> |
#<alt (/ (* (log t) 1/2) a)> |
#<alt (log t)> |
#<alt (* (/ (log t) (+ a 1/2)) (- 1/4 (* a a)))> |
#<alt (/ (log t) (+ a 1/2))> |
#<alt (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))> |
#<alt (* (- 1/4 (* a a)) (log t))> |
| Outputs |
|---|
#<alt (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t))))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t))))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t))))> |
#<alt (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t))))> |
#<alt (* a (log t))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (log t))> |
#<alt (* -1 (* a (- (+ (* -1 (log t)) (+ (* -1 (/ (log (+ x y)) a)) (* -1 (/ (- (log z) t) a)))) (* -1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (- (+ (* -1 (log t)) (+ (* -1 (/ (log (+ x y)) a)) (* -1 (/ (- (log z) t) a)))) (* -1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (- (+ (* -1 (log t)) (+ (* -1 (/ (log (+ x y)) a)) (* -1 (/ (- (log z) t) a)))) (* -1/2 (/ (log t) a)))))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* 1/2 (/ (log t) a))))> |
#<alt (+ (* -1 t) (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* 1/2 (/ (log t) a)))))> |
#<alt (+ (* -1 t) (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* 1/2 (/ (log t) a)))))> |
#<alt (+ (* -1 t) (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* 1/2 (/ (log t) a)))))> |
#<alt (* -1 t)> |
#<alt (* t (- (/ (* a (- (+ (* -1 (log (/ 1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* -1/2 (/ (log (/ 1 t)) a)))) t) 1))> |
#<alt (* t (- (/ (* a (- (+ (* -1 (log (/ 1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* -1/2 (/ (log (/ 1 t)) a)))) t) 1))> |
#<alt (* t (- (/ (* a (- (+ (* -1 (log (/ 1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* -1/2 (/ (log (/ 1 t)) a)))) t) 1))> |
#<alt (* -1 t)> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (* a (- (+ (log -1) (+ (* -1 (log (/ -1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (* a (- (+ (log -1) (+ (* -1 (log (/ -1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)))) t)))))> |
#<alt (* -1 (* t (+ 1 (* -1 (/ (* a (- (+ (log -1) (+ (* -1 (log (/ -1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)))) t)))))> |
#<alt (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (+ (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x))> |
#<alt (+ (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x))))> |
#<alt (+ (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y))> |
#<alt (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y)))> |
#<alt (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y))> |
#<alt (+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))))> |
#<alt (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))))> |
#<alt (* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (+ (* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y))> |
#<alt (+ (* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y))))> |
#<alt (+ (* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x))> |
#<alt (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x)))> |
#<alt (+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x))))> |
#<alt (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))> |
#<alt (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x))> |
#<alt (+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))))> |
#<alt (+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))))> |
#<alt (/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) a)> |
#<alt (/ (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) a)> |
#<alt (log t)> |
#<alt (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))> |
#<alt (log t)> |
#<alt (+ (log t) (* -1 (/ (- (+ (* -1 (log (+ x y))) (* -1 (- (log z) t))) (* -1/2 (log t))) a)))> |
#<alt (+ (log t) (* -1 (/ (- (+ (* -1 (log (+ x y))) (* -1 (- (log z) t))) (* -1/2 (log t))) a)))> |
#<alt (+ (log t) (* -1 (/ (- (+ (* -1 (log (+ x y))) (* -1 (- (log z) t))) (* -1/2 (log t))) a)))> |
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#<alt (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))> |
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))> |
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))> |
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))> |
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (* 1/2 (log t))> |
#<alt (+ (* -1 (* a (log t))) (* 1/2 (log t)))> |
#<alt (+ (* -1 (* a (log t))) (* 1/2 (log t)))> |
#<alt (+ (* -1 (* a (log t))) (* 1/2 (log t)))> |
#<alt (* -1 (* a (log t)))> |
#<alt (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))> |
#<alt (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))> |
#<alt (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))> |
#<alt (* -1 (* a (log t)))> |
#<alt (* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))> |
#<alt (/ (log t) (+ 1/2 a))> |
#<alt (/ (log t) (+ 1/2 a))> |
#<alt (/ (log t) (+ 1/2 a))> |
#<alt (/ (log t) (+ 1/2 a))> |
#<alt (* -1 (/ (log (/ 1 t)) (+ 1/2 a)))> |
#<alt (* -1 (/ (log (/ 1 t)) (+ 1/2 a)))> |
#<alt (* -1 (/ (log (/ 1 t)) (+ 1/2 a)))> |
#<alt (* -1 (/ (log (/ 1 t)) (+ 1/2 a)))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 t)))) (+ 1/2 a))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 t)))) (+ 1/2 a))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 t)))) (+ 1/2 a))> |
#<alt (/ (+ (log -1) (* -1 (log (/ -1 t)))) (+ 1/2 a))> |
#<alt (* 2 (log t))> |
#<alt (+ (* -4 (* a (log t))) (* 2 (log t)))> |
#<alt (+ (* 2 (log t)) (* a (- (* 8 (* a (log t))) (* 4 (log t)))))> |
#<alt (+ (* 2 (log t)) (* a (- (* a (- (* -16 (* a (log t))) (* -8 (log t)))) (* 4 (log t)))))> |
#<alt (/ (log t) a)> |
#<alt (/ (+ (log t) (* -1/2 (/ (log t) a))) a)> |
#<alt (/ (- (+ (log t) (* 1/4 (/ (log t) (pow a 2)))) (* 1/2 (/ (log t) a))) a)> |
#<alt (/ (- (+ (log t) (* -1/8 (/ (log t) (pow a 3)))) (+ (* -1/4 (/ (log t) (pow a 2))) (* 1/2 (/ (log t) a)))) a)> |
#<alt (/ (log t) a)> |
#<alt (* -1 (/ (+ (* -1 (log t)) (* 1/2 (/ (log t) a))) a))> |
#<alt (* -1 (/ (+ (* -1 (log t)) (* -1 (/ (- (* 1/4 (/ (log t) a)) (* 1/2 (log t))) a))) a))> |
#<alt (* -1 (/ (+ (* -1 (log t)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (log t) a)) (* 1/4 (log t))) a)) (* 1/2 (log t))) a))) a))> |
#<alt (* 1/2 (log t))> |
#<alt (+ (* -1 (* a (log t))) (* 1/2 (log t)))> |
#<alt (+ (* -1 (* a (log t))) (* 1/2 (log t)))> |
#<alt (+ (* -1 (* a (log t))) (* 1/2 (log t)))> |
#<alt (* -1 (* a (log t)))> |
#<alt (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))> |
#<alt (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))> |
#<alt (* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a))))> |
#<alt (* -1 (* a (log t)))> |
#<alt (* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))> |
#<alt (* -1 (* a (+ (log t) (* -1/2 (/ (log t) a)))))> |
#<alt (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))> |
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))> |
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))> |
#<alt (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))> |
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))> |
#<alt (* 1/4 (log t))> |
#<alt (+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))> |
#<alt (+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))> |
#<alt (+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t)))> |
#<alt (* -1 (* (pow a 2) (log t)))> |
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))> |
#<alt (* -1 (* (pow a 2) (log t)))> |
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2)))))> |
#<alt (* (log t) (- 1/4 (pow a 2)))> |
#<alt (* (log t) (- 1/4 (pow a 2)))> |
#<alt (* (log t) (- 1/4 (pow a 2)))> |
#<alt (* (log t) (- 1/4 (pow a 2)))> |
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))> |
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))> |
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))> |
#<alt (* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2))))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2)))> |
216 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | y | @ | 0 | (- (- (+ (log z) (log y)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) t) |
| 18.0ms | z | @ | 0 | (- (- (+ (log z) (log y)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) t) |
| 16.0ms | t | @ | 0 | (- (+ (log z) (log y)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) |
| 11.0ms | y | @ | inf | (- (- (+ (log z) (log y)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) t) |
| 9.0ms | t | @ | 0 | (* a (/ (- 0 t) a)) |
| 1× | batch-egg-rewrite |
| 3854× | fma-lowering-fma.f32 |
| 3854× | fma-lowering-fma.f64 |
| 2296× | +-lowering-+.f64 |
| 2296× | +-lowering-+.f32 |
| 2266× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 268 |
| 1 | 364 | 224 |
| 2 | 3706 | 219 |
| 0 | 8499 | 219 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a (+ (* (/ 1 a) (- (log z) t)) (neg (- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a))))) |
(+ (* (/ 1 a) (- (log z) t)) (neg (- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a)))) |
(neg (- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a))) |
(- (- (/ (* (log t) 1/2) a) (log t)) (/ (log (+ y x)) a)) |
(* a (/ (- 0 t) a)) |
(/ (- 0 t) a) |
(- 0 t) |
(* t (+ (/ (* (log t) a) t) -1)) |
(+ (/ (* (log t) a) t) -1) |
(/ (* (log t) a) t) |
(* (log t) a) |
(- (- (log (* (+ x y) z)) (* (/ (log t) (+ a 1/2)) (- 1/4 (* a a)))) t) |
(- (log (* (+ x y) z)) (* (/ (log t) (+ a 1/2)) (- 1/4 (* a a)))) |
(log (* (+ x y) z)) |
(* (+ x y) z) |
(- (- (+ (log z) (log y)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) t) |
(- (+ (log z) (log y)) (/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a))) |
(+ (log z) (log y)) |
(log z) |
(/ (log (+ y x)) a) |
(/ (* (log t) 1/2) a) |
(log t) |
(* (/ (log t) (+ a 1/2)) (- 1/4 (* a a))) |
(/ (log t) (+ a 1/2)) |
(/ (* (- 1/4 (* a a)) (log t)) (+ 1/2 a)) |
(* (- 1/4 (* a a)) (log t)) |
| Outputs |
|---|
(+.f64 (*.f64 a (/.f64 (-.f64 (log.f64 z) t) a)) (*.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)))) |
(+.f64 (*.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a))) (*.f64 a (/.f64 (-.f64 (log.f64 z) t) a))) |
(-.f64 (*.f64 a (/.f64 (-.f64 (log.f64 z) t) a)) (*.f64 (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a)) a)) |
(-.f64 (*.f64 a (/.f64 (-.f64 (log.f64 z) t) a)) (*.f64 a (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a)))) |
(fma.f64 a (/.f64 (-.f64 (log.f64 z) t) a) (*.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)))) |
(fma.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)) (*.f64 a (/.f64 (-.f64 (log.f64 z) t) a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 (log.f64 z) t) a) (*.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)))) |
(fma.f64 (-.f64 (log.f64 z) t) (*.f64 (/.f64 #s(literal 1 binary64) a) a) (*.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)))) |
(fma.f64 (/.f64 (-.f64 (log.f64 z) t) a) a (*.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)))) |
(fma.f64 (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)) a (*.f64 a (/.f64 (-.f64 (log.f64 z) t) a))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a)) a) (*.f64 a (/.f64 (-.f64 (log.f64 z) t) a))) |
(fma.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) (-.f64 (log.f64 z) t) (*.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)))) |
(fma.f64 (*.f64 a (-.f64 (log.f64 z) t)) (/.f64 #s(literal 1 binary64) a) (*.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)))) |
(fma.f64 (*.f64 a #s(literal -1 binary64)) (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a)) (*.f64 a (/.f64 (-.f64 (log.f64 z) t) a))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 (-.f64 (log.f64 z) t) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a (/.f64 (-.f64 (log.f64 z) t) a)) (*.f64 a (/.f64 (-.f64 (log.f64 z) t) a))) (-.f64 (*.f64 (*.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a))) (*.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)))) (*.f64 (*.f64 a (/.f64 (-.f64 (log.f64 z) t) a)) (*.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 a (/.f64 (-.f64 (log.f64 z) t) a)) (*.f64 a (/.f64 (-.f64 (log.f64 z) t) a))) (*.f64 (*.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a))) (*.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a))))) (-.f64 (*.f64 a (/.f64 (-.f64 (log.f64 z) t) a)) (*.f64 a (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a))))) |
(/.f64 (*.f64 a (-.f64 (pow.f64 (/.f64 (-.f64 (log.f64 z) t) a) #s(literal 3 binary64)) (pow.f64 (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (-.f64 (log.f64 z) t) a) #s(literal 2 binary64)) (*.f64 (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)) (-.f64 (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 (-.f64 (log.f64 z) t) a))))) |
(/.f64 (*.f64 a (-.f64 (pow.f64 (/.f64 (-.f64 (log.f64 z) t) a) #s(literal 2 binary64)) (pow.f64 (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 (-.f64 (log.f64 z) t) a) #s(literal 0 binary64)) (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (log.f64 z) t) a) #s(literal 3 binary64)) (pow.f64 (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a)) #s(literal 3 binary64))) a) (+.f64 (pow.f64 (/.f64 (-.f64 (log.f64 z) t) a) #s(literal 2 binary64)) (*.f64 (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)) (-.f64 (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 (-.f64 (log.f64 z) t) a))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (log.f64 z) t) a) #s(literal 2 binary64)) (pow.f64 (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)) #s(literal 2 binary64))) a) (+.f64 (+.f64 (/.f64 (-.f64 (log.f64 z) t) a) #s(literal 0 binary64)) (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a)))) |
(*.f64 a (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a))) |
(*.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)) a) |
(+.f64 (/.f64 (-.f64 (log.f64 z) t) a) (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a))) |
(+.f64 (+.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)) (/.f64 (-.f64 (log.f64 z) t) a)) |
(+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t))) (/.f64 (log.f64 (+.f64 y x)) a)) |
(+.f64 (-.f64 (/.f64 (-.f64 (log.f64 z) t) a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (+.f64 (log.f64 t) (/.f64 (log.f64 (+.f64 y x)) a))) |
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(*.f64 (/.f64 (log.f64 t) (+.f64 (*.f64 a a) #s(literal -1/4 binary64))) (+.f64 a #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 a a)))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (+.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 a #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (log.f64 t) (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (+.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 (+.f64 a #s(literal 1/2 binary64)) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 a #s(literal 1/2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))))) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 a #s(literal 1/2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 t)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 t)) (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (/.f64 (+.f64 a #s(literal 1/2 binary64)) (log.f64 t)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (log.f64 t)) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (+.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (log.f64 t))) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (+.f64 a #s(literal 1/2 binary64)) (log.f64 t)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (log.f64 t)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 a a)) (+.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (log.f64 t))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 a a)) (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) #s(literal 1 binary64)) (+.f64 a #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (log.f64 t) (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a))))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))))) |
(/.f64 (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (+.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (/.f64 (+.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (log.f64 t) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) |
(*.f64 (log.f64 t) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (log.f64 t) (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) |
(*.f64 (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (-.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 (*.f64 a (*.f64 a a)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 a (+.f64 a #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 (*.f64 a a) #s(literal -1/4 binary64))) (+.f64 a #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (log.f64 t) #s(literal 1/4 binary64)) (*.f64 (log.f64 t) (-.f64 #s(literal 0 binary64) (*.f64 a a)))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 t)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (log.f64 t))) |
(fma.f64 (log.f64 t) #s(literal 1/4 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 0 binary64) (*.f64 a a)))) |
(fma.f64 #s(literal 1/4 binary64) (log.f64 t) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (log.f64 t))) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))))) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (log.f64 t)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 a a) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) |
| 1× | egg-herbie |
| 4808× | +-lowering-+.f64 |
| 4808× | +-lowering-+.f32 |
| 2706× | *-lowering-*.f32 |
| 2706× | *-lowering-*.f64 |
| 2502× | --lowering--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 932 | 14375 |
| 1 | 3332 | 13322 |
| 0 | 8662 | 13322 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(* a (log t)) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (log t)) |
(* -1 (* a (- (+ (* -1 (log t)) (+ (* -1 (/ (log (+ x y)) a)) (* -1 (/ (- (log z) t) a)))) (* -1/2 (/ (log t) a))))) |
(* -1 (* a (- (+ (* -1 (log t)) (+ (* -1 (/ (log (+ x y)) a)) (* -1 (/ (- (log z) t) a)))) (* -1/2 (/ (log t) a))))) |
(* -1 (* a (- (+ (* -1 (log t)) (+ (* -1 (/ (log (+ x y)) a)) (* -1 (/ (- (log z) t) a)))) (* -1/2 (/ (log t) a))))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 z)) a)) (/ (log (+ x y)) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 z)) a)) (+ (/ (log -1) a) (/ (log (+ x y)) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* 1/2 (/ (log t) a)))) |
(+ (* -1 t) (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* 1/2 (/ (log t) a))))) |
(+ (* -1 t) (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* 1/2 (/ (log t) a))))) |
(+ (* -1 t) (* a (- (+ (log t) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* 1/2 (/ (log t) a))))) |
(* -1 t) |
(* t (- (/ (* a (- (+ (* -1 (log (/ 1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* -1/2 (/ (log (/ 1 t)) a)))) t) 1)) |
(* t (- (/ (* a (- (+ (* -1 (log (/ 1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* -1/2 (/ (log (/ 1 t)) a)))) t) 1)) |
(* t (- (/ (* a (- (+ (* -1 (log (/ 1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a))) (* -1/2 (/ (log (/ 1 t)) a)))) t) 1)) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (* a (- (+ (log -1) (+ (* -1 (log (/ -1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (* a (- (+ (log -1) (+ (* -1 (log (/ -1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (* a (- (+ (log -1) (+ (* -1 (log (/ -1 t))) (+ (/ (log z) a) (/ (log (+ x y)) a)))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)))) t))))) |
(* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(+ (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x)) |
(+ (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* y (+ (* -1/2 (/ y (pow x 2))) (/ 1 x)))) |
(+ (* a (- (+ (log t) (+ (/ (log x) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* y (+ (* y (- (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y)) |
(+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y))) |
(+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 y)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y)) |
(+ (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) y))) y)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/3 (/ (pow x 3) y))) y))) y)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(+ (* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ x y)) |
(+ (* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* x (+ (* -1/2 (/ x (pow y 2))) (/ 1 y)))) |
(+ (* a (- (+ (log t) (+ (/ (log y) a) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (* x (+ (* x (- (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x)) |
(+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x))) |
(+ (* -1/2 (/ (pow y 2) (pow x 2))) (+ (* 1/3 (/ (pow y 3) (pow x 3))) (+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ 1 x)) a)) (/ (log z) a))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x)))) |
(* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) |
(+ (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a)))) (/ y x)) |
(+ (* -1 (/ (+ (* -1 y) (* 1/2 (/ (pow y 2) x))) x)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(+ (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1/2 (pow y 2)) (* 1/3 (/ (pow y 3) x))) x))) x)) (* a (- (+ (log t) (+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ (log -1) a) (/ (log z) a)))) (+ (* 1/2 (/ (log t) a)) (/ t a))))) |
(/ (- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) a) |
(/ (- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) a) |
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(log t) |
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(- (+ (log y) (* -1 (log (/ 1 z)))) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log y) (* -1 (log (/ 1 z)))) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log y) (log z)) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log y) (log z)) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log y) (log z)) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log y) (log z)) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log z) (* -1 (log (/ 1 y)))) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log z) (* -1 (log (/ 1 y)))) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log z) (* -1 (log (/ 1 y)))) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log z) (* -1 (log (/ 1 y)))) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) (+ t (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log y) (log z)) (+ t (* 1/2 (log t)))) |
(- (+ (log y) (+ (log z) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(- (+ (log y) (+ (log z) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(- (+ (log y) (+ (log z) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(* a (log t)) |
(* a (- (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a))) (+ (* -1 (log t)) (/ t a)))) |
(* a (- (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a))) (+ (* -1 (log t)) (/ t a)))) |
(* a (- (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a))) (+ (* -1 (log t)) (/ t a)))) |
(* a (log t)) |
(* -1 (* a (- (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a)) (log t)))) |
(* -1 (* a (- (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a)) (log t)))) |
(* -1 (* a (- (* -1 (/ (- (+ (log y) (+ (log z) (* -1/2 (log t)))) t) a)) (log t)))) |
(- (+ (log y) (log z)) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (+ (log z) (* -1 t))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (+ (log z) (* -1 t))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (+ (log z) (* -1 t))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(* -1 t) |
(* t (- (+ (/ (log y) t) (/ (log z) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (* t (+ 1/2 a))))))) |
(* t (- (+ (/ (log y) t) (/ (log z) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (* t (+ 1/2 a))))))) |
(* t (- (+ (/ (log y) t) (/ (log z) t)) (+ 1 (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (* t (+ 1/2 a))))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (log y) (log z)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (log y) (log z)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (- (+ (log y) (log z)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))) t))))) |
(- (+ (log y) (log z)) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (log z)) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (log z)) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (log z)) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (* -1 (log (/ 1 z)))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (* -1 (log (/ 1 z)))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (* -1 (log (/ 1 z)))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (* -1 (log (/ 1 z)))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (log z)) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (log z)) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (log z)) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (log z)) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log z) (* -1 (log (/ 1 y)))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log z) (* -1 (log (/ 1 y)))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log z) (* -1 (log (/ 1 y)))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log z) (* -1 (log (/ 1 y)))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (log z)) (* 1/2 (log t))) |
(- (+ (log y) (+ (log z) (* a (log t)))) (* 1/2 (log t))) |
(- (+ (log y) (+ (log z) (* a (log t)))) (* 1/2 (log t))) |
(- (+ (log y) (+ (log z) (* a (log t)))) (* 1/2 (log t))) |
(* a (log t)) |
(* a (- (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a))) (* -1 (log t)))) |
(* a (- (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a))) (* -1 (log t)))) |
(* a (- (+ (* -1/2 (/ (log t) a)) (+ (/ (log y) a) (/ (log z) a))) (* -1 (log t)))) |
(* a (log t)) |
(* -1 (* a (- (* -1 (/ (+ (log y) (+ (log z) (* -1/2 (log t)))) a)) (log t)))) |
(* -1 (* a (- (* -1 (/ (+ (log y) (+ (log z) (* -1/2 (log t)))) a)) (log t)))) |
(* -1 (* a (- (* -1 (/ (+ (log y) (+ (log z) (* -1/2 (log t)))) a)) (log t)))) |
(- (+ (log y) (log z)) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (log z)) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (log z)) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (log z)) (/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (log z)) (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log y) (log z)) (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log y) (log z)) (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log y) (log z)) (* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a)))) |
(- (+ (log y) (log z)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (log z)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (log z)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(- (+ (log y) (log z)) (/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(+ (log y) (log z)) |
(+ (log y) (log z)) |
(+ (log y) (log z)) |
(+ (log y) (log z)) |
(+ (log y) (* -1 (log (/ 1 z)))) |
(+ (log y) (* -1 (log (/ 1 z)))) |
(+ (log y) (* -1 (log (/ 1 z)))) |
(+ (log y) (* -1 (log (/ 1 z)))) |
(+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) |
(+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) |
(+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) |
(+ (log -1) (+ (log y) (* -1 (log (/ -1 z))))) |
(+ (log y) (log z)) |
(+ (log y) (log z)) |
(+ (log y) (log z)) |
(+ (log y) (log z)) |
(+ (log z) (* -1 (log (/ 1 y)))) |
(+ (log z) (* -1 (log (/ 1 y)))) |
(+ (log z) (* -1 (log (/ 1 y)))) |
(+ (log z) (* -1 (log (/ 1 y)))) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) |
(+ (log -1) (+ (log z) (* -1 (log (/ -1 y))))) |
(log z) |
(log z) |
(log z) |
(log z) |
(* -1 (log (/ 1 z))) |
(* -1 (log (/ 1 z))) |
(* -1 (log (/ 1 z))) |
(* -1 (log (/ 1 z))) |
(+ (log -1) (* -1 (log (/ -1 z)))) |
(+ (log -1) (* -1 (log (/ -1 z)))) |
(+ (log -1) (* -1 (log (/ -1 z)))) |
(+ (log -1) (* -1 (log (/ -1 z)))) |
(/ (log x) a) |
(+ (/ y (* a x)) (/ (log x) a)) |
(+ (* y (+ (* -1/2 (/ y (* a (pow x 2)))) (/ 1 (* a x)))) (/ (log x) a)) |
(+ (* y (+ (* y (- (* 1/3 (/ y (* a (pow x 3)))) (* 1/2 (/ 1 (* a (pow x 2)))))) (/ 1 (* a x)))) (/ (log x) a)) |
(* -1 (/ (log (/ 1 y)) a)) |
(+ (* -1 (/ (log (/ 1 y)) a)) (/ x (* a y))) |
(+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (/ x (* a y)))) |
(+ (* -1 (/ (log (/ 1 y)) a)) (+ (* -1/2 (/ (pow x 2) (* a (pow y 2)))) (+ (* 1/3 (/ (pow x 3) (* a (pow y 3)))) (/ x (* a y))))) |
(/ (+ (log -1) (* -1 (log (/ -1 y)))) a) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (/ x (* a y)) (/ (log -1) a))) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1 (/ (+ (* -1 (/ x a)) (* 1/2 (/ (pow x 2) (* a y)))) y)) (/ (log -1) a))) |
(+ (* -1 (/ (log (/ -1 y)) a)) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* 1/3 (/ (pow x 3) (* a y)))) y))) y)) (/ (log -1) a))) |
(/ (log y) a) |
(+ (/ x (* a y)) (/ (log y) a)) |
(+ (* x (+ (* -1/2 (/ x (* a (pow y 2)))) (/ 1 (* a y)))) (/ (log y) a)) |
(+ (* x (+ (* x (- (* 1/3 (/ x (* a (pow y 3)))) (* 1/2 (/ 1 (* a (pow y 2)))))) (/ 1 (* a y)))) (/ (log y) a)) |
(* -1 (/ (log (/ 1 x)) a)) |
(+ (* -1 (/ (log (/ 1 x)) a)) (/ y (* a x))) |
(+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (/ y (* a x)))) |
(+ (* -1 (/ (log (/ 1 x)) a)) (+ (* -1/2 (/ (pow y 2) (* a (pow x 2)))) (+ (* 1/3 (/ (pow y 3) (* a (pow x 3)))) (/ y (* a x))))) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) a) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (/ y (* a x)) (/ (log -1) a))) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* 1/2 (/ (pow y 2) (* a x)))) x)) (/ (log -1) a))) |
(+ (* -1 (/ (log (/ -1 x)) a)) (+ (* -1 (/ (+ (* -1 (/ y a)) (* -1 (/ (+ (* -1/2 (/ (pow y 2) a)) (* 1/3 (/ (pow y 3) (* a x)))) x))) x)) (/ (log -1) a))) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(/ (log (+ x y)) a) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* -1/2 (/ (log (/ 1 t)) a)) |
(* -1/2 (/ (log (/ 1 t)) a)) |
(* -1/2 (/ (log (/ 1 t)) a)) |
(* -1/2 (/ (log (/ 1 t)) a)) |
(* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) |
(* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) |
(* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) |
(* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 t)))) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(* 1/2 (/ (log t) a)) |
(log t) |
(log t) |
(log t) |
(log t) |
(* -1 (log (/ 1 t))) |
(* -1 (log (/ 1 t))) |
(* -1 (log (/ 1 t))) |
(* -1 (log (/ 1 t))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(+ (log -1) (* -1 (log (/ -1 t)))) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(* 1/2 (log t)) |
(+ (* -1 (* a (log t))) (* 1/2 (log t))) |
(+ (* -1 (* a (log t))) (* 1/2 (log t))) |
(+ (* -1 (* a (log t))) (* 1/2 (log t))) |
(* -1 (* a (log t))) |
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))) |
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))) |
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))) |
(* -1 (* a (log t))) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(/ (log t) (+ 1/2 a)) |
(/ (log t) (+ 1/2 a)) |
(/ (log t) (+ 1/2 a)) |
(/ (log t) (+ 1/2 a)) |
(* -1 (/ (log (/ 1 t)) (+ 1/2 a))) |
(* -1 (/ (log (/ 1 t)) (+ 1/2 a))) |
(* -1 (/ (log (/ 1 t)) (+ 1/2 a))) |
(* -1 (/ (log (/ 1 t)) (+ 1/2 a))) |
(/ (+ (log -1) (* -1 (log (/ -1 t)))) (+ 1/2 a)) |
(/ (+ (log -1) (* -1 (log (/ -1 t)))) (+ 1/2 a)) |
(/ (+ (log -1) (* -1 (log (/ -1 t)))) (+ 1/2 a)) |
(/ (+ (log -1) (* -1 (log (/ -1 t)))) (+ 1/2 a)) |
(* 2 (log t)) |
(+ (* -4 (* a (log t))) (* 2 (log t))) |
(+ (* 2 (log t)) (* a (- (* 8 (* a (log t))) (* 4 (log t))))) |
(+ (* 2 (log t)) (* a (- (* a (- (* -16 (* a (log t))) (* -8 (log t)))) (* 4 (log t))))) |
(/ (log t) a) |
(/ (+ (log t) (* -1/2 (/ (log t) a))) a) |
(/ (- (+ (log t) (* 1/4 (/ (log t) (pow a 2)))) (* 1/2 (/ (log t) a))) a) |
(/ (- (+ (log t) (* -1/8 (/ (log t) (pow a 3)))) (+ (* -1/4 (/ (log t) (pow a 2))) (* 1/2 (/ (log t) a)))) a) |
(/ (log t) a) |
(* -1 (/ (+ (* -1 (log t)) (* 1/2 (/ (log t) a))) a)) |
(* -1 (/ (+ (* -1 (log t)) (* -1 (/ (- (* 1/4 (/ (log t) a)) (* 1/2 (log t))) a))) a)) |
(* -1 (/ (+ (* -1 (log t)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (log t) a)) (* 1/4 (log t))) a)) (* 1/2 (log t))) a))) a)) |
(* 1/2 (log t)) |
(+ (* -1 (* a (log t))) (* 1/2 (log t))) |
(+ (* -1 (* a (log t))) (* 1/2 (log t))) |
(+ (* -1 (* a (log t))) (* 1/2 (log t))) |
(* -1 (* a (log t))) |
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))) |
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))) |
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))) |
(* -1 (* a (log t))) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(* 1/4 (log t)) |
(+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t))) |
(+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t))) |
(+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t))) |
(* -1 (* (pow a 2) (log t))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(* -1 (* (pow a 2) (log t))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(* (log t) (- 1/4 (pow a 2))) |
(* (log t) (- 1/4 (pow a 2))) |
(* (log t) (- 1/4 (pow a 2))) |
(* (log t) (- 1/4 (pow a 2))) |
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2)))) |
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2)))) |
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2)))) |
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2)))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) |
| Outputs |
|---|
(- (+ (log z) (log (+ x y))) (+ t (* 1/2 (log t)))) |
(+.f64 (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) |
(- (+ (log z) (+ (log (+ x y)) (* a (log t)))) (+ t (* 1/2 (log t)))) |
(+.f64 (log.f64 z) (-.f64 (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) t)) |
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(*.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) (neg.f64 a)) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(*.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) (neg.f64 a)) |
(/ (log t) (+ 1/2 a)) |
(/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)) |
(/ (log t) (+ 1/2 a)) |
(/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)) |
(/ (log t) (+ 1/2 a)) |
(/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)) |
(/ (log t) (+ 1/2 a)) |
(/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)) |
(* -1 (/ (log (/ 1 t)) (+ 1/2 a))) |
(/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)) |
(* -1 (/ (log (/ 1 t)) (+ 1/2 a))) |
(/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)) |
(* -1 (/ (log (/ 1 t)) (+ 1/2 a))) |
(/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)) |
(* -1 (/ (log (/ 1 t)) (+ 1/2 a))) |
(/.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) a)) |
(/ (+ (log -1) (* -1 (log (/ -1 t)))) (+ 1/2 a)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 1/2 binary64) a)) |
(/ (+ (log -1) (* -1 (log (/ -1 t)))) (+ 1/2 a)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 1/2 binary64) a)) |
(/ (+ (log -1) (* -1 (log (/ -1 t)))) (+ 1/2 a)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 1/2 binary64) a)) |
(/ (+ (log -1) (* -1 (log (/ -1 t)))) (+ 1/2 a)) |
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (+.f64 #s(literal 1/2 binary64) a)) |
(* 2 (log t)) |
(*.f64 (log.f64 t) #s(literal 2 binary64)) |
(+ (* -4 (* a (log t))) (* 2 (log t))) |
(*.f64 (log.f64 t) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) a))) |
(+ (* 2 (log t)) (* a (- (* 8 (* a (log t))) (* 4 (log t))))) |
(+.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 a (*.f64 (log.f64 t) (+.f64 (*.f64 #s(literal 8 binary64) a) #s(literal -4 binary64))))) |
(+ (* 2 (log t)) (* a (- (* a (- (* -16 (* a (log t))) (* -8 (log t)))) (* 4 (log t))))) |
(+.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 a (+.f64 (*.f64 a (*.f64 (log.f64 t) (+.f64 (*.f64 #s(literal -16 binary64) a) #s(literal 8 binary64)))) (*.f64 (log.f64 t) #s(literal -4 binary64))))) |
(/ (log t) a) |
(/.f64 (log.f64 t) a) |
(/ (+ (log t) (* -1/2 (/ (log t) a))) a) |
(/.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) a) |
(/ (- (+ (log t) (* 1/4 (/ (log t) (pow a 2)))) (* 1/2 (/ (log t) a))) a) |
(/.f64 (+.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal 1/4 binary64)) (*.f64 a a))) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) a) |
(/ (- (+ (log t) (* -1/8 (/ (log t) (pow a 3)))) (+ (* -1/4 (/ (log t) (pow a 2))) (* 1/2 (/ (log t) a)))) a) |
(/.f64 (+.f64 (+.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 #s(literal -1/8 binary64) (log.f64 t)) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 (log.f64 t) #s(literal 1/4 binary64)) (*.f64 a a))) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) a) |
(/ (log t) a) |
(/.f64 (log.f64 t) a) |
(* -1 (/ (+ (* -1 (log t)) (* 1/2 (/ (log t) a))) a)) |
(/.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) a) |
(* -1 (/ (+ (* -1 (log t)) (* -1 (/ (- (* 1/4 (/ (log t) a)) (* 1/2 (log t))) a))) a)) |
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (+.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/4 binary64)) a) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) a)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (log t)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (log t) a)) (* 1/4 (log t))) a)) (* 1/2 (log t))) a))) a)) |
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 t)) a) (*.f64 (log.f64 t) #s(literal -1/4 binary64))) (neg.f64 a)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) a)) (neg.f64 a)) |
(* 1/2 (log t)) |
(*.f64 #s(literal 1/2 binary64) (log.f64 t)) |
(+ (* -1 (* a (log t))) (* 1/2 (log t))) |
(*.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) (neg.f64 a))) |
(+ (* -1 (* a (log t))) (* 1/2 (log t))) |
(*.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) (neg.f64 a))) |
(+ (* -1 (* a (log t))) (* 1/2 (log t))) |
(*.f64 (log.f64 t) (+.f64 #s(literal 1/2 binary64) (neg.f64 a))) |
(* -1 (* a (log t))) |
(-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) a)) |
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 t)) a) (log.f64 t))) |
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 t)) a) (log.f64 t))) |
(* a (+ (* -1 (log t)) (* 1/2 (/ (log t) a)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 t)) a) (log.f64 t))) |
(* -1 (* a (log t))) |
(-.f64 #s(literal 0 binary64) (*.f64 (log.f64 t) a)) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(*.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) (neg.f64 a)) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(*.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) (neg.f64 a)) |
(* -1 (* a (+ (log t) (* -1/2 (/ (log t) a))))) |
(*.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) (neg.f64 a)) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a)) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a)) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a)) |
(/ (* (log t) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a)) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a)) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a)) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a)) |
(* -1 (/ (* (log (/ 1 t)) (- 1/4 (pow a 2))) (+ 1/2 a))) |
(/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a)) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) a))) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) a))) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) a))) |
(/ (* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) (+ 1/2 a)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (+.f64 #s(literal 1/2 binary64) a))) |
(* 1/4 (log t)) |
(*.f64 (log.f64 t) #s(literal 1/4 binary64)) |
(+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(+ (* -1 (* (pow a 2) (log t))) (* 1/4 (log t))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(* -1 (* (pow a 2) (log t))) |
(*.f64 (log.f64 t) (*.f64 a (neg.f64 a))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/4 binary64)) (*.f64 a a)) (log.f64 t))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/4 binary64)) (*.f64 a a)) (log.f64 t))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/4 binary64)) (*.f64 a a)) (log.f64 t))) |
(* -1 (* (pow a 2) (log t))) |
(*.f64 (log.f64 t) (*.f64 a (neg.f64 a))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/4 binary64)) (*.f64 a a)) (log.f64 t))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/4 binary64)) (*.f64 a a)) (log.f64 t))) |
(* (pow a 2) (+ (* -1 (log t)) (* 1/4 (/ (log t) (pow a 2))))) |
(*.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/4 binary64)) (*.f64 a a)) (log.f64 t))) |
(* (log t) (- 1/4 (pow a 2))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(* (log t) (- 1/4 (pow a 2))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(* (log t) (- 1/4 (pow a 2))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(* (log t) (- 1/4 (pow a 2))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2)))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2)))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2)))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(* -1 (* (log (/ 1 t)) (- 1/4 (pow a 2)))) |
(*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
(* (+ (log -1) (* -1 (log (/ -1 t)))) (- 1/4 (pow a 2))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) |
Compiled 42186 to 3454 computations (91.8% saved)
57 alts after pruning (55 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1524 | 24 | 1548 |
| Fresh | 6 | 31 | 37 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1535 | 57 | 1592 |
| Status | Accuracy | Program |
|---|---|---|
| 75.9% | (fma.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) a (-.f64 (log.f64 (*.f64 z (+.f64 x y))) t)) | |
| 65.4% | (fma.f64 (*.f64 t (*.f64 a (log.f64 t))) (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) t)) | |
| 62.4% | (fma.f64 (*.f64 t (log.f64 t)) (/.f64 a t) (-.f64 #s(literal 0 binary64) t)) | |
| 10.5% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)) | |
| 20.3% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t) | |
| 34.4% | (/.f64 (*.f64 t a) (-.f64 #s(literal 0 binary64) a)) | |
| 27.9% | (/.f64 a (/.f64 a (-.f64 #s(literal 0 binary64) t))) | |
| 42.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 2 binary64)) (*.f64 t t)))) | |
| 20.2% | (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) | |
| 34.3% | (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (-.f64 #s(literal 0 binary64) t)))) | |
| 38.0% | (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 z y)) (log.f64 (/.f64 z y))) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (log.f64 (/.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))))) (*.f64 (log.f64 (/.f64 z y)) (+.f64 a #s(literal 1/2 binary64)))) t) | |
| 47.3% | (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a))) t) | |
| 75.9% | (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) t) | |
| 39.0% | (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 1/2 binary64)))) t) | |
| 30.1% | (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t) | |
| 75.9% | (-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) | |
| 79.6% | (-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) | |
| 63.5% | (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) | |
| 59.3% | (-.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) t) | |
| ✓ | 77.4% | (-.f64 (*.f64 (log.f64 t) a) t) |
| 49.7% | (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) | |
| 63.5% | (-.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) | |
| 79.4% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) #s(literal 2 binary64))) a) (-.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)))) | |
| 71.5% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) #s(literal 3 binary64))) a) (+.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (log.f64 t)))))) | |
| 71.8% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 a (/.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (log.f64 t))))))) | |
| 59.3% | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 a (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a))) | |
| 79.8% | (+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) | |
| 41.2% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) | |
| 40.9% | (+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) | |
| 44.3% | (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a)) | |
| 10.5% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) | |
| 20.2% | (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) | |
| 37.7% | (*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) | |
| 67.1% | (*.f64 (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64))))) (log.f64 t)) a) | |
| 34.3% | (*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) a)) | |
| 41.8% | (*.f64 (log.f64 t) a) | |
| 26.8% | (*.f64 t (/.f64 (*.f64 (log.f64 t) a) t)) | |
| 51.9% | (*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 t (+.f64 #s(literal 1/2 binary64) a)))))) | |
| 63.1% | (*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))) | |
| 51.9% | (*.f64 t (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (log.f64 t))) (-.f64 #s(literal 0 binary64) (*.f64 t t))) t) #s(literal -1 binary64))) | |
| 62.4% | (*.f64 t (+.f64 (*.f64 (/.f64 a t) (log.f64 t)) #s(literal -1 binary64))) | |
| 62.4% | (*.f64 t (+.f64 (*.f64 a (/.f64 (log.f64 t) t)) #s(literal -1 binary64))) | |
| 48.3% | (*.f64 a (fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (log.f64 z) t) (/.f64 (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) a))) | |
| 17.2% | (*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) a)) | |
| 16.4% | (*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 a t))) | |
| 7.5% | (*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) a)) (*.f64 t t))) | |
| 12.7% | (*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) a)) t)) | |
| 19.4% | (*.f64 a (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (*.f64 a a))) | |
| 26.8% | (*.f64 a (/.f64 (neg.f64 t) a)) | |
| 26.8% | (*.f64 a (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) t)))) | |
| 63.0% | (*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 (*.f64 (log.f64 z) (+.f64 (-.f64 (/.f64 t a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t))) (*.f64 a (-.f64 (/.f64 (/.f64 t a) (/.f64 a t)) (pow.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) #s(literal 2 binary64))))) (*.f64 a (+.f64 (-.f64 (/.f64 t a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)))))) | |
| 30.0% | (*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) | |
| 48.4% | (*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) a))) | |
| 30.3% | (*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) | |
| 64.1% | (*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (*.f64 (-.f64 (/.f64 (/.f64 t a) (/.f64 a t)) (pow.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 t a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t))))))) | |
| 26.8% | (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) t))) | |
| ✓ | 37.8% | (neg.f64 t) |
Compiled 3195 to 1215 computations (62% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 (neg.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) t) a)) |
(/.f64 a (/.f64 a (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (*.f64 t a) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t) |
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) |
(*.f64 a (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (*.f64 a a))) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 a t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) a)) t)) |
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))))) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) a)) (*.f64 t t))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(*.f64 t (/.f64 (*.f64 (log.f64 t) a) t)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) |
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 t (+.f64 (*.f64 a (/.f64 (log.f64 t) t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (*.f64 (/.f64 a t) (log.f64 t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) |
(*.f64 t (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (log.f64 t))) (-.f64 #s(literal 0 binary64) (*.f64 t t))) t) #s(literal -1 binary64))) |
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) |
(fma.f64 (*.f64 t (log.f64 t)) (/.f64 a t) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(fma.f64 (*.f64 t (*.f64 a (log.f64 t))) (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) |
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))) |
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 t (+.f64 #s(literal 1/2 binary64) a)))))) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a))) t) |
(-.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) t) |
(+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64))))) |
(+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 y)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (-.f64 (log.f64 z) t) (-.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) (log.f64 (+.f64 x y)))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(+.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 z) t) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 a (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a))) |
(*.f64 (-.f64 (pow.f64 (*.f64 a (log.f64 t)) #s(literal 2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 t (*.f64 a (log.f64 t))))) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) a))) |
(-.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) 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))) |
(-.f64 (-.f64 (log.f64 z) t) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) |
(*.f64 (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (log.f64 (*.f64 z (+.f64 y x)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64))))) (log.f64 t)) a) |
(fma.f64 (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) a (-.f64 (log.f64 (*.f64 z (+.f64 x y))) t)) |
(*.f64 a (fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (log.f64 z) t) (/.f64 (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) #s(literal -1/2 binary64))) a))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 a (+.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)))) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (+.f64 (/.f64 t a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)))))) |
(+.f64 (-.f64 (log.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (log.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 1/2 binary64)))) t) |
(*.f64 a (fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (log.f64 z) t) (neg.f64 (-.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) (/.f64 (log.f64 (+.f64 y x)) a))))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (*.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))))) |
(fma.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) (log.f64 (/.f64 (+.f64 x y) z))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x y) z))) (neg.f64 (-.f64 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 z (+.f64 x y)))) (*.f64 (log.f64 (*.f64 z (+.f64 x y))) (log.f64 (/.f64 z (+.f64 x y)))) (-.f64 (*.f64 (log.f64 t) (neg.f64 (-.f64 #s(literal 1/2 binary64) a))) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 2 binary64)) (*.f64 t t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 2 binary64)) (*.f64 t t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 (*.f64 z (+.f64 y x))) (-.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)))) (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 y x))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 2 binary64)) (*.f64 t t)))) |
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 z y)) (log.f64 (/.f64 z y))) (+.f64 a #s(literal 1/2 binary64))) (*.f64 (log.f64 (/.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))))) (*.f64 (log.f64 (/.f64 z y)) (+.f64 a #s(literal 1/2 binary64)))) t) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (+.f64 #s(literal 1/2 binary64) a))) |
(+.f64 (-.f64 (/.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)))) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (*.f64 z (+.f64 x y)))))) t) |
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (+.f64 t (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (/.f64 (+.f64 (*.f64 t (*.f64 t t)) (pow.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) #s(literal 3 binary64))) (+.f64 (*.f64 t t) (*.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) t)))))) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (*.f64 (-.f64 (/.f64 (/.f64 t a) (/.f64 a t)) (pow.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 t a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) a)) (*.f64 (/.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)))) (*.f64 (/.f64 (+.f64 t (log.f64 (*.f64 (+.f64 x y) z))) (-.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64)) (*.f64 t t))) (+.f64 #s(literal 1/2 binary64) a))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) #s(literal 2 binary64))) a) (-.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 t) (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a)) (-.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) #s(literal 2 binary64))))))) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 (*.f64 (log.f64 z) (+.f64 (-.f64 (/.f64 t a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t))) (*.f64 a (-.f64 (/.f64 (/.f64 t a) (/.f64 a t)) (pow.f64 (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a) (log.f64 t)) #s(literal 2 binary64))))) (*.f64 a (+.f64 (-.f64 (/.f64 t a) (/.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) a)) (log.f64 t)))))) |
(+.f64 (log.f64 (+.f64 x y)) (/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (+.f64 (+.f64 (log.f64 z) t) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 a (/.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (log.f64 t))))))) |
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) #s(literal 3 binary64))) a) (+.f64 (pow.f64 (log.f64 t) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (-.f64 (/.f64 (*.f64 (log.f64 t) #s(literal -1/2 binary64)) a) (log.f64 t)))))) |
| Outputs |
|---|
(-.f64 (-.f64 (log.f64 z) t) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) |
11 calls:
| 34.0ms | x |
| 32.0ms | (+.f64 x y) |
| 31.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 30.0ms | t |
| 29.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | t |
| 99.6% | 1 | a |
| 99.6% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 99.6% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 99.6% | 1 | (log.f64 (+.f64 x y)) |
| 99.6% | 1 | (+.f64 x y) |
| 99.6% | 1 | (log.f64 z) |
| 99.6% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 95 to 75 computations (21.1% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 (neg.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) t) a)) |
(/.f64 a (/.f64 a (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (*.f64 t a) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t) |
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) |
(*.f64 a (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (*.f64 a a))) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 a t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) a)) t)) |
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))))) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) a)) (*.f64 t t))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(*.f64 t (/.f64 (*.f64 (log.f64 t) a) t)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) |
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 t (+.f64 (*.f64 a (/.f64 (log.f64 t) t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (*.f64 (/.f64 a t) (log.f64 t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) |
(*.f64 t (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (log.f64 t))) (-.f64 #s(literal 0 binary64) (*.f64 t t))) t) #s(literal -1 binary64))) |
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) |
(fma.f64 (*.f64 t (log.f64 t)) (/.f64 a t) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(fma.f64 (*.f64 t (*.f64 a (log.f64 t))) (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) |
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))) |
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 t (+.f64 #s(literal 1/2 binary64) a)))))) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a))) t) |
(-.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) t) |
(+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64))))) |
(+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 y)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (-.f64 (log.f64 z) t) (-.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) (log.f64 (+.f64 x y)))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(+.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 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
11 calls:
| 36.0ms | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 23.0ms | (+.f64 x y) |
| 20.0ms | z |
| 19.0ms | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 18.0ms | (log.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | t |
| 99.6% | 1 | a |
| 99.6% | 1 | (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
| 99.6% | 1 | (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) |
| 99.6% | 1 | (log.f64 (+.f64 x y)) |
| 99.6% | 1 | (+.f64 x y) |
| 99.6% | 1 | (log.f64 z) |
| 99.6% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 95 to 75 computations (21.1% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 (neg.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) t) a)) |
(/.f64 a (/.f64 a (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (*.f64 t a) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t) |
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) |
(*.f64 a (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (*.f64 a a))) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 a t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) a)) t)) |
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))))) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) a)) (*.f64 t t))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(*.f64 t (/.f64 (*.f64 (log.f64 t) a) t)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) |
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 t (+.f64 (*.f64 a (/.f64 (log.f64 t) t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (*.f64 (/.f64 a t) (log.f64 t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) |
(*.f64 t (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (log.f64 t))) (-.f64 #s(literal 0 binary64) (*.f64 t t))) t) #s(literal -1 binary64))) |
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) |
(fma.f64 (*.f64 t (log.f64 t)) (/.f64 a t) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(fma.f64 (*.f64 t (*.f64 a (log.f64 t))) (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) |
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))) |
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 t (+.f64 #s(literal 1/2 binary64) a)))))) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a))) t) |
(-.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) t) |
(+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64))))) |
(+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 y)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) |
(-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (-.f64 (log.f64 z) t) (-.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)) (log.f64 (+.f64 x y)))) |
| Outputs |
|---|
(+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 y)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
9 calls:
| 60.0ms | (log.f64 z) |
| 27.0ms | t |
| 19.0ms | a |
| 18.0ms | x |
| 18.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | z |
| 99.5% | 1 | t |
| 99.5% | 1 | a |
| 99.5% | 1 | (log.f64 (+.f64 x y)) |
| 99.5% | 1 | (+.f64 x y) |
| 99.5% | 1 | (log.f64 z) |
| 99.5% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 62 to 51 computations (17.7% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 (neg.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) t) a)) |
(/.f64 a (/.f64 a (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (*.f64 t a) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t) |
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) |
(*.f64 a (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (*.f64 a a))) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 a t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) a)) t)) |
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))))) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) a)) (*.f64 t t))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(*.f64 t (/.f64 (*.f64 (log.f64 t) a) t)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) |
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 t (+.f64 (*.f64 a (/.f64 (log.f64 t) t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (*.f64 (/.f64 a t) (log.f64 t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) |
(*.f64 t (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (log.f64 t))) (-.f64 #s(literal 0 binary64) (*.f64 t t))) t) #s(literal -1 binary64))) |
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) |
(fma.f64 (*.f64 t (log.f64 t)) (/.f64 a t) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(fma.f64 (*.f64 t (*.f64 a (log.f64 t))) (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) |
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))) |
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 t (+.f64 #s(literal 1/2 binary64) a)))))) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a))) t) |
(-.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) t) |
(+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) |
(-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) |
9 calls:
| 22.0ms | (log.f64 z) |
| 19.0ms | (+.f64 x y) |
| 19.0ms | z |
| 17.0ms | x |
| 17.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 1 | x |
| 85.6% | 3 | y |
| 90.2% | 2 | z |
| 99.1% | 2 | t |
| 98.7% | 3 | a |
| 85.6% | 3 | (log.f64 (+.f64 x y)) |
| 85.6% | 3 | (+.f64 x y) |
| 90.2% | 2 | (log.f64 z) |
| 98.7% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 62 to 51 computations (17.7% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 (neg.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) t) a)) |
(/.f64 a (/.f64 a (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (*.f64 t a) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t) |
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) |
(*.f64 a (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (*.f64 a a))) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 a t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) a)) t)) |
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))))) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) a)) (*.f64 t t))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(*.f64 t (/.f64 (*.f64 (log.f64 t) a) t)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) |
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 t (+.f64 (*.f64 a (/.f64 (log.f64 t) t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (*.f64 (/.f64 a t) (log.f64 t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) |
(*.f64 t (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (log.f64 t))) (-.f64 #s(literal 0 binary64) (*.f64 t t))) t) #s(literal -1 binary64))) |
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) |
(fma.f64 (*.f64 t (log.f64 t)) (/.f64 a t) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(fma.f64 (*.f64 t (*.f64 a (log.f64 t))) (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) |
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))) |
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 t (+.f64 #s(literal 1/2 binary64) a)))))) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a))) t) |
(-.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) t) |
| Outputs |
|---|
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) t) |
(-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) |
3 calls:
| 16.0ms | a |
| 16.0ms | t |
| 16.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | a |
| 98.6% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
| 89.0% | 2 | t |
Compiled 20 to 17 computations (15% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 (neg.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) t) a)) |
(/.f64 a (/.f64 a (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (*.f64 t a) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t) |
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) |
(*.f64 a (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (*.f64 a a))) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 a t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) a)) t)) |
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))))) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) a)) (*.f64 t t))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(*.f64 t (/.f64 (*.f64 (log.f64 t) a) t)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) |
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 t (+.f64 (*.f64 a (/.f64 (log.f64 t) t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (*.f64 (/.f64 a t) (log.f64 t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) |
(*.f64 t (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (log.f64 t))) (-.f64 #s(literal 0 binary64) (*.f64 t t))) t) #s(literal -1 binary64))) |
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) |
(fma.f64 (*.f64 t (log.f64 t)) (/.f64 a t) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(fma.f64 (*.f64 t (*.f64 a (log.f64 t))) (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (-.f64 (/.f64 (log.f64 z) a) (/.f64 t a)))) |
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) a) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (/.f64 (log.f64 t) (+.f64 a #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 a a)))) t) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 a a)) (log.f64 t)) (+.f64 #s(literal 1/2 binary64) a))) t) |
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) a) t)))))) |
(*.f64 t (-.f64 (/.f64 (log.f64 (*.f64 z (+.f64 x y))) t) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/4 binary64) (*.f64 a a))) (*.f64 t (+.f64 #s(literal 1/2 binary64) a)))))) |
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (log.f64 t)) (+.f64 #s(literal 1/4 binary64) (*.f64 a a))) (+.f64 #s(literal 1/2 binary64) a))) t) |
| Outputs |
|---|
(-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) |
4 calls:
| 54.0ms | (-.f64 a #s(literal 1/2 binary64)) |
| 49.0ms | (log.f64 z) |
| 14.0ms | a |
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.2% | 2 | z |
| 90.2% | 2 | (log.f64 z) |
| 89.5% | 3 | a |
| 88.6% | 3 | (-.f64 a #s(literal 1/2 binary64)) |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 (neg.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) t) a)) |
(/.f64 a (/.f64 a (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (*.f64 t a) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t) |
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) |
(*.f64 a (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (*.f64 a a))) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 a t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) a)) t)) |
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))))) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) a)) (*.f64 t t))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(*.f64 t (/.f64 (*.f64 (log.f64 t) a) t)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) |
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 t (+.f64 (*.f64 a (/.f64 (log.f64 t) t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (*.f64 (/.f64 a t) (log.f64 t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) |
(*.f64 t (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (log.f64 t))) (-.f64 #s(literal 0 binary64) (*.f64 t t))) t) #s(literal -1 binary64))) |
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) |
(fma.f64 (*.f64 t (log.f64 t)) (/.f64 a t) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(fma.f64 (*.f64 t (*.f64 a (log.f64 t))) (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) t)) |
| Outputs |
|---|
(-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) |
(-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) |
2 calls:
| 25.0ms | (log.f64 z) |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.2% | 2 | z |
| 90.2% | 2 | (log.f64 z) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 (neg.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) t) a)) |
(/.f64 a (/.f64 a (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (*.f64 t a) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t) |
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) |
(*.f64 a (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (*.f64 a a))) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 a t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) a)) t)) |
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))))) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) a)) (*.f64 t t))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(*.f64 t (/.f64 (*.f64 (log.f64 t) a) t)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) |
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 t (+.f64 (*.f64 a (/.f64 (log.f64 t) t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (*.f64 (/.f64 a t) (log.f64 t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) |
(*.f64 t (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (log.f64 t))) (-.f64 #s(literal 0 binary64) (*.f64 t t))) t) #s(literal -1 binary64))) |
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) |
(fma.f64 (*.f64 t (log.f64 t)) (/.f64 a t) (-.f64 #s(literal 0 binary64) t)) |
(-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
| Outputs |
|---|
(-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) |
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
3 calls:
| 12.0ms | z |
| 11.0ms | (log.f64 z) |
| 11.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 2 | t |
| 79.8% | 1 | z |
| 79.8% | 1 | (log.f64 z) |
Compiled 19 to 16 computations (15.8% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 (neg.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) t) a)) |
(/.f64 a (/.f64 a (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (*.f64 t a) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t) |
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) |
(*.f64 a (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (*.f64 a a))) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 a t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) a)) t)) |
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))))) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) a)) (*.f64 t t))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(*.f64 t (/.f64 (*.f64 (log.f64 t) a) t)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) |
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 t (+.f64 (*.f64 a (/.f64 (log.f64 t) t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (*.f64 (/.f64 a t) (log.f64 t)) #s(literal -1 binary64))) |
(*.f64 t (+.f64 (/.f64 (*.f64 (log.f64 t) a) t) #s(literal -1 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(*.f64 a (+.f64 (/.f64 (log.f64 (+.f64 y x)) a) (/.f64 (-.f64 #s(literal 0 binary64) t) a))) |
(*.f64 t (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (log.f64 t))) (-.f64 #s(literal 0 binary64) (*.f64 t t))) t) #s(literal -1 binary64))) |
(+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) a)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) t)) |
(-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))) |
(fma.f64 (*.f64 t (log.f64 t)) (/.f64 a t) (-.f64 #s(literal 0 binary64) t)) |
| Outputs |
|---|
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
7 calls:
| 14.0ms | x |
| 13.0ms | (log.f64 (+.f64 x y)) |
| 13.0ms | a |
| 12.0ms | (+.f64 x y) |
| 11.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 1 | x |
| 79.8% | 1 | y |
| 79.8% | 1 | (log.f64 (+.f64 x y)) |
| 79.8% | 1 | (+.f64 x y) |
| 79.8% | 1 | (-.f64 a #s(literal 1/2 binary64)) |
| 79.8% | 1 | a |
| 79.8% | 1 | t |
Compiled 49 to 40 computations (18.4% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 (neg.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) t) a)) |
(/.f64 a (/.f64 a (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (*.f64 t a) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t) |
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) |
(*.f64 a (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (*.f64 a a))) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 a t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) a)) t)) |
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))))) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) a)) (*.f64 t t))) |
(*.f64 (log.f64 t) a) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(*.f64 t (/.f64 (*.f64 (log.f64 t) a) t)) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 #s(literal 0 binary64) t)) |
| Outputs |
|---|
(-.f64 (*.f64 (log.f64 t) a) t) |
7 calls:
| 14.0ms | (+.f64 x y) |
| 11.0ms | t |
| 11.0ms | y |
| 8.0ms | x |
| 8.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 1 | z |
| 77.4% | 1 | t |
| 77.4% | 1 | a |
| 77.4% | 1 | y |
| 77.4% | 1 | (log.f64 (+.f64 x y)) |
| 77.4% | 1 | (+.f64 x y) |
| 77.4% | 1 | x |
Compiled 47 to 38 computations (19.1% saved)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 (neg.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) t) a)) |
(/.f64 a (/.f64 a (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (*.f64 t a) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t) |
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) |
(*.f64 a (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (*.f64 a a))) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 a t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) a)) t)) |
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))))) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) a)) (*.f64 t t))) |
(*.f64 (log.f64 t) a) |
| Outputs |
|---|
(*.f64 (log.f64 t) a) |
(neg.f64 t) |
(*.f64 (log.f64 t) a) |
5 calls:
| 10.0ms | x |
| 10.0ms | a |
| 7.0ms | z |
| 7.0ms | y |
| 7.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 2 | t |
| 44.2% | 2 | z |
| 45.7% | 2 | x |
| 46.1% | 3 | y |
| 69.5% | 3 | a |
Compiled 30 to 25 computations (16.7% saved)
Total -20.6b remaining (-51.7%)
Threshold costs -20.6b (-51.7%)
| Inputs |
|---|
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
(*.f64 a (/.f64 (neg.f64 t) a)) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) t) a)) |
(/.f64 a (/.f64 a (-.f64 #s(literal 0 binary64) t))) |
(/.f64 (*.f64 t a) (-.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) t) |
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) t))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(*.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 a (-.f64 #s(literal 0 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) |
(*.f64 a (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)) (*.f64 a a))) |
(*.f64 a (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (*.f64 a t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (*.f64 t t)) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (/.f64 #s(literal 1 binary64) a)) t)) |
(*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 t t)))) a)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))))) |
(*.f64 a (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) a)) (*.f64 t t))) |
| Outputs |
|---|
(neg.f64 t) |
5 calls:
| 9.0ms | t |
| 7.0ms | x |
| 7.0ms | a |
| 7.0ms | z |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.8% | 1 | z |
| 37.8% | 1 | y |
| 37.8% | 1 | x |
| 37.8% | 1 | t |
| 37.8% | 1 | a |
Compiled 30 to 25 computations (16.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 9.886229581275351e-14 | 1.1352307682960264e-13 |
| 5.0ms | 48× | 0 | valid |
Compiled 140 to 106 computations (24.3% saved)
ival-log: 2.0ms (58.3% of total)ival-add: 1.0ms (29.2% of total)ival-sub: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.4944085702190153 | 3.075994270833548 |
| 0.0ms | -1780181317367.5334 | -0.5000950278459972 |
Compiled 29 to 22 computations (24.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 108.07788163761174 | 111.48126149373878 |
Compiled 29 to 22 computations (24.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 108.07788163761174 | 111.48126149373878 |
Compiled 29 to 22 computations (24.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.40588299423186e-58 | 3.6681560722551076e-57 |
| 11.0ms | 96× | 0 | valid |
Compiled 233 to 178 computations (23.6% saved)
ival-log: 3.0ms (43.9% of total)ival-add: 2.0ms (29.3% of total)ival-sub: 1.0ms (14.6% of total)ival-mult: 1.0ms (14.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.9268084235113896e+45 | 6.518719298146022e+45 |
| 23.0ms | -869919498766582.0 | -14127217004948.752 |
| 22.0ms | 192× | 0 | valid |
Compiled 245 to 202 computations (17.6% saved)
ival-log: 7.0ms (51.8% of total)ival-add: 3.0ms (22.2% of total)ival-sub: 2.0ms (14.8% of total)ival-mult: 1.0ms (7.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 224× | unsub-neg_binary64 |
| 136× | distribute-lft-neg-in_binary64 |
| 96× | +-commutative_binary64 |
| 96× | neg-mul-1_binary64 |
| 82× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 233 |
| 1 | 132 | 226 |
| 2 | 186 | 226 |
| 3 | 245 | 226 |
| 4 | 300 | 226 |
| 5 | 353 | 226 |
| 6 | 429 | 226 |
| 7 | 526 | 226 |
| 8 | 620 | 226 |
| 9 | 648 | 226 |
| 10 | 665 | 226 |
| 11 | 667 | 226 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 (log.f64 z) t) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 y)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(if (<=.f64 t #s(literal 4436777100798803/39614081257132168796771975168 binary64)) (+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) (-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a)))) |
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1000000000000 binary64)) (+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -3602879701896397/9007199254740992 binary64)) (-.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) t) (-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))))) |
(if (<=.f64 (log.f64 z) #s(literal 110 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) (-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a)))) |
(if (<=.f64 (log.f64 z) #s(literal 110 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) (-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a)))) |
(if (<=.f64 t #s(literal 2826955303645415/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))) |
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(if (<=.f64 a #s(literal -18500000000000 binary64)) (*.f64 (log.f64 t) a) (if (<=.f64 a #s(literal 4199999999999999895128203937283725348214669312 binary64)) (neg.f64 t) (*.f64 (log.f64 t) a))) |
(neg.f64 t) |
| Outputs |
|---|
(-.f64 (-.f64 (log.f64 z) t) (-.f64 (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a)) (log.f64 (+.f64 x y)))) |
(+.f64 (-.f64 (log.f64 z) t) (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))))) |
(+.f64 (log.f64 (+.f64 x y)) (-.f64 (log.f64 z) (+.f64 t (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))))) |
(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) t))) |
(+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 y)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(+.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 y)) t) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) |
(if (<=.f64 t #s(literal 4436777100798803/39614081257132168796771975168 binary64)) (+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 y x)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) (-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a)))) |
(if (<=.f64 t #s(literal 4436777100798803/39614081257132168796771975168 binary64)) (+.f64 (log.f64 z) (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 t) (+.f64 a #s(literal -1/2 binary64))))) (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) a))) |
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1000000000000 binary64)) (+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -3602879701896397/9007199254740992 binary64)) (-.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) t) (-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a))))) |
(if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -1000000000000 binary64)) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) t) (if (<=.f64 (-.f64 a #s(literal 1/2 binary64)) #s(literal -3602879701896397/9007199254740992 binary64)) (-.f64 (+.f64 (log.f64 y) (+.f64 (log.f64 z) (*.f64 (log.f64 t) #s(literal -1/2 binary64)))) t) (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) a)))) |
(if (<=.f64 (log.f64 z) #s(literal 110 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 (+.f64 x y) z)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) (-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a)))) |
(if (<=.f64 (log.f64 z) #s(literal 110 binary64)) (-.f64 (+.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) t) (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) a))) |
(if (<=.f64 (log.f64 z) #s(literal 110 binary64)) (-.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) t) (-.f64 (-.f64 (log.f64 z) t) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 t) a)))) |
(if (<=.f64 (log.f64 z) #s(literal 110 binary64)) (-.f64 (+.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) t) (+.f64 (-.f64 (log.f64 z) t) (*.f64 (log.f64 t) a))) |
(if (<=.f64 t #s(literal 2826955303645415/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 #s(literal 1/2 binary64) a))) (+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))) |
(if (<=.f64 t #s(literal 2826955303645415/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (+.f64 (log.f64 (*.f64 z (+.f64 x y))) (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)))) (-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) t)) |
(+.f64 (neg.f64 t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))) |
(-.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) t) |
(-.f64 (*.f64 (log.f64 t) a) t) |
(if (<=.f64 a #s(literal -18500000000000 binary64)) (*.f64 (log.f64 t) a) (if (<=.f64 a #s(literal 4199999999999999895128203937283725348214669312 binary64)) (neg.f64 t) (*.f64 (log.f64 t) a))) |
(if (<=.f64 a #s(literal -18500000000000 binary64)) (*.f64 (log.f64 t) a) (if (<=.f64 a #s(literal 4199999999999999895128203937283725348214669312 binary64)) (-.f64 #s(literal 0 binary64) t) (*.f64 (log.f64 t) a))) |
(neg.f64 t) |
(-.f64 #s(literal 0 binary64) t) |
| 5120× | +-lowering-+.f64 |
| 5120× | +-lowering-+.f32 |
| 4866× | +-lowering-+.f64 |
| 4866× | +-lowering-+.f32 |
| 4808× | +-lowering-+.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2011 | 28229 |
| 1 | 7377 | 28036 |
| 0 | 8483 | 28036 |
| 0 | 932 | 14375 |
| 1 | 3332 | 13322 |
| 0 | 8662 | 13322 |
| 0 | 40 | 206 |
| 1 | 305 | 187 |
| 2 | 3522 | 186 |
| 0 | 8670 | 186 |
| 0 | 15 | 16 |
| 1 | 28 | 15 |
| 2 | 75 | 15 |
| 3 | 253 | 15 |
| 4 | 774 | 14 |
| 5 | 4050 | 14 |
| 6 | 6634 | 14 |
| 7 | 7448 | 14 |
| 8 | 7767 | 14 |
| 9 | 7789 | 14 |
| 10 | 7789 | 14 |
| 0 | 9260 | 14 |
| 0 | 20 | 82 |
| 1 | 145 | 78 |
| 2 | 1548 | 78 |
| 0 | 8297 | 78 |
| 0 | 1216 | 16504 |
| 1 | 4321 | 15347 |
| 0 | 8536 | 15347 |
| 0 | 495 | 5458 |
| 1 | 1643 | 4986 |
| 2 | 6887 | 4912 |
| 0 | 8155 | 4912 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1054 to 664 computations (37% saved)
(sort x y)
Compiled 808 to 372 computations (54% saved)
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