
Time bar (total: 11.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 6.7% | 6.2% | 87.4% | 0.1% | 0% | 6.2% | 0% | 5 |
| 20.7% | 18.7% | 71.8% | 0.1% | 0% | 9.4% | 0% | 6 |
| 34.5% | 29.7% | 56.2% | 0.1% | 0% | 14% | 0% | 7 |
| 50.5% | 42.1% | 41.4% | 0.1% | 0% | 16.4% | 0% | 8 |
| 61.4% | 49.6% | 31.2% | 0.1% | 0% | 19.1% | 0% | 9 |
| 72.2% | 57.4% | 22% | 0.1% | 0% | 20.5% | 0% | 10 |
| 79% | 61.6% | 16.4% | 0.1% | 0% | 22% | 0% | 11 |
| 85.3% | 65.9% | 11.4% | 0.1% | 0% | 22.7% | 0% | 12 |
Compiled 14 to 9 computations (35.7% saved)
ival-mult: 30.0ms (42.4% of total)ival-div: 16.0ms (22.6% of total)ival-log: 11.0ms (15.6% of total)ival-add: 6.0ms (8.5% of total)ival-exp: 6.0ms (8.5% of total)const: 1.0ms (1.4% of total)backward-pass: 0.0ms (0% of total)| 1.5s | 3908× | 1 | valid |
| 465.0ms | 4348× | 0 | valid |
| 20.0ms | 257× | 0 | invalid |
ival-log: 831.0ms (56.1% of total)ival-div: 237.0ms (16% of total)ival-exp: 127.0ms (8.6% of total)ival-mult: 105.0ms (7.1% of total)ival-add: 99.0ms (6.7% of total)backward-pass: 73.0ms (4.9% of total)const: 9.0ms (0.6% of total)| 2× | egg-herbie |
| 1926× | fnmadd-define |
| 1654× | fma-define |
| 1308× | sum3-define |
| 1158× | fmsub-define |
| 1136× | fnmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 76 |
| 1 | 68 | 60 |
| 2 | 138 | 58 |
| 3 | 394 | 58 |
| 4 | 963 | 58 |
| 5 | 2276 | 56 |
| 6 | 3846 | 56 |
| 7 | 5016 | 56 |
| 8 | 6460 | 56 |
| 9 | 7050 | 56 |
| 10 | 7759 | 56 |
| 0 | 8 | 11 |
| 1 | 12 | 9 |
| 2 | 15 | 9 |
| 3 | 15 | 9 |
| 0 | 15 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (* x (log (/ x (+ x y))))) x) |
| Outputs |
|---|
(/ (exp (* x (log (/ x (+ x y))))) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
| Inputs |
|---|
(/ (exp (* x (log (/ x (+ x y))))) x) |
(/ (exp (* (neg x) (log (/ (neg x) (+ (neg x) y))))) (neg x)) |
(/ (exp (* x (log (/ x (+ x (neg y)))))) x) |
(neg (/ (exp (* (neg x) (log (/ (neg x) (+ (neg x) y))))) (neg x))) |
(neg (/ (exp (* x (log (/ x (+ x (neg y)))))) x)) |
(/ (exp (* y (log (/ y (+ y x))))) y) |
| Outputs |
|---|
(/ (exp (* x (log (/ x (+ x y))))) x) |
(/ (pow (/ x (+ x y)) x) x) |
(/ (exp (* (neg x) (log (/ (neg x) (+ (neg x) y))))) (neg x)) |
(/ (pow (- 1 (/ y x)) x) (neg x)) |
(/ (exp (* x (log (/ x (+ x (neg y)))))) x) |
(/ (pow (/ x (- x y)) x) x) |
(neg (/ (exp (* (neg x) (log (/ (neg x) (+ (neg x) y))))) (neg x))) |
(/ (pow (- 1 (/ y x)) x) x) |
(neg (/ (exp (* x (log (/ x (+ x (neg y)))))) x)) |
(/ (pow (/ x (- x y)) x) (neg x)) |
(/ (exp (* y (log (/ y (+ y x))))) y) |
(/ (pow (/ y (+ x y)) y) y) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 146 | 3 | (-5.034972319916716e-92 4.6931860406395584e-94) | 3 | (1.543128478940233e-127 1.4397121502613962e+191) | (log.f64 (/.f64 x (+.f64 x y))) |
| 42 | 0 | - | 5 | (-6.635489148289625e+236 -3.8754226550568383e-75) | (*.f64 x (log.f64 (/.f64 x (+.f64 x y)))) |
| 1 | 0 | - | 1 | (-0.32327386313855994 -9.394632084262576e+90) | (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 x y)) |
| 0 | 0 | - | 0 | - | y |
| 113.0ms | 256× | 1 | valid |
| 41.0ms | 44× | 2 | valid |
| 25.0ms | 28× | 3 | valid |
| 24.0ms | 184× | 0 | valid |
Compiled 107 to 26 computations (75.7% saved)
ival-log: 88.0ms (64.7% of total)ival-div: 16.0ms (11.8% of total)backward-pass: 10.0ms (7.4% of total)ival-add: 7.0ms (5.1% of total)ival-exp: 7.0ms (5.1% of total)ival-mult: 7.0ms (5.1% of total)const: 1.0ms (0.7% of total)Compiled 11 to 6 computations (45.5% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.5% | (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
Compiled 11 to 6 computations (45.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 x y)) |
| ✓ | cost-diff | 0 | (pow.f64 (/.f64 x (+.f64 x y)) x) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
| 4× | +-lowering-+.f64 |
| 4× | /-lowering-/.f32 |
| 4× | /-lowering-/.f64 |
| 4× | +-lowering-+.f32 |
| 2× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 26 |
| 1 | 7 | 26 |
| 0 | 7 | 26 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (pow (/ x (+ x y)) x) x) |
(pow (/ x (+ x y)) x) |
(/ x (+ x y)) |
x |
(+ x y) |
y |
| Outputs |
|---|
(/ (pow (/ x (+ x y)) x) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
(pow (/ x (+ x y)) x) |
(pow.f64 (/.f64 x (+.f64 x y)) x) |
(/ x (+ x y)) |
(/.f64 x (+.f64 x y)) |
x |
(+ x y) |
(+.f64 x y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 x y)) |
| ✓ | accuracy | 100.0% | (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
| ✓ | accuracy | 80.2% | (pow.f64 (/.f64 x (+.f64 x y)) x) |
| 43.0ms | 117× | 1 | valid |
| 17.0ms | 139× | 0 | valid |
Compiled 29 to 7 computations (75.9% saved)
ival-pow: 19.0ms (58.2% of total)ival-div: 9.0ms (27.6% of total)ival-add: 3.0ms (9.2% of total)backward-pass: 3.0ms (9.2% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (pow (/ x (+ x y)) x) x)> |
#<alt (pow (/ x (+ x y)) x)> |
#<alt (/ x (+ x y))> |
#<alt (+ x y)> |
| Outputs |
|---|
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x)> |
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x)> |
#<alt (/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)> |
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x)> |
#<alt (/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))> |
#<alt (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)> |
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x))> |
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))> |
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))))> |
#<alt (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)> |
#<alt (+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x))> |
#<alt 1> |
#<alt (+ 1 (* x (+ (log x) (log (/ 1 y)))))> |
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y)))))))> |
#<alt (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y)))))))> |
#<alt (exp (* -1 y))> |
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))> |
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))> |
#<alt (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))))> |
#<alt (exp (* -1 y))> |
#<alt (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))> |
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))> |
#<alt (+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)))> |
#<alt (exp (* x (+ (log x) (log (/ 1 y)))))> |
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)))> |
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))> |
#<alt (+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))))> |
#<alt (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))> |
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)))> |
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))> |
#<alt (+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)))> |
#<alt (/ x y)> |
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))> |
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ y x)))> |
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))> |
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ y x)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ y x)))> |
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))> |
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)> |
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)> |
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | (/ (pow (/ x (+ x y)) x) x) |
| 3.0ms | x | @ | -inf | (/ (pow (/ x (+ x y)) x) x) |
| 3.0ms | x | @ | inf | (/ (pow (/ x (+ x y)) x) x) |
| 2.0ms | y | @ | inf | (/ (pow (/ x (+ x y)) x) x) |
| 1.0ms | y | @ | -inf | (/ (pow (/ x (+ x y)) x) x) |
| 1× | batch-egg-rewrite |
| 2434× | fma-lowering-fma.f32 |
| 2434× | fma-lowering-fma.f64 |
| 2262× | *-lowering-*.f32 |
| 2262× | *-lowering-*.f64 |
| 1848× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 24 |
| 1 | 41 | 24 |
| 2 | 298 | 24 |
| 3 | 3055 | 24 |
| 0 | 8174 | 24 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (/ x (+ x y)) x) x) |
(pow (/ x (+ x y)) x) |
(/ x (+ x y)) |
(+ x y) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (-.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (-.f64 #s(literal 0 binary64) x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)))) |
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (+.f64 x y) x) x)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x)) #s(literal -1 binary64)) x) |
(pow.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (+.f64 x y)) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (pow.f64 x x) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) x)) |
(*.f64 (pow.f64 x x) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 x (/.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x y) (/.f64 x #s(literal -2 binary64))) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) x) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64)))) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (pow.f64 (/.f64 x (+.f64 x y)) x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)) |
(exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 x (+.f64 x y)))) (/.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x y))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x y))) (/.f64 #s(literal 2 binary64) x)) (/.f64 (log.f64 (/.f64 x (+.f64 x y))) (/.f64 #s(literal 2 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) (-.f64 #s(literal 0 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) (log.f64 (/.f64 x (+.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) x) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x y) x) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) (/.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (log.f64 (/.f64 (+.f64 x y) x)))) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 x)) (pow.f64 (exp.f64 x) (log.f64 (+.f64 x y)))) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 (-.f64 #s(literal 0 binary64) x))) (pow.f64 (exp.f64 x) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y)))) |
(/.f64 (pow.f64 (exp.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) x))))) |
(pow.f64 (/.f64 x (+.f64 x y)) x) |
(pow.f64 (/.f64 x (+.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 x (+.f64 x y)) (*.f64 (+.f64 (/.f64 x #s(literal 4 binary64)) (/.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 x (+.f64 x y)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (+.f64 x y) x) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(pow.f64 (/.f64 (+.f64 x y) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (+.f64 x y) x) (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) (*.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) (*.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 x y) x) (/.f64 (+.f64 x y) x)) (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 x) (log.f64 (/.f64 x (+.f64 x y)))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 1/2 binary64)) (+.f64 x x)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) #s(literal -1 binary64)) (/.f64 x #s(literal -2 binary64))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (+.f64 x y) x)) #s(literal 1/2 binary64)) x) |
(pow.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 x y) x))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) x))) |
(*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)) |
(*.f64 (pow.f64 x x) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) (pow.f64 x x)) |
(*.f64 (pow.f64 x (/.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x y) (/.f64 x #s(literal -2 binary64))) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 x (+.f64 x y)) x)) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) x) (pow.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) x)) |
(*.f64 (pow.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) x) (pow.f64 (-.f64 x y) x)) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))))) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) (pow.f64 x (/.f64 x #s(literal 2 binary64)))) (pow.f64 (+.f64 x y) (/.f64 x #s(literal -2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 4 binary64)))) (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)))) |
(+.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) x) (*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (-.f64 #s(literal 0 binary64) y))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 x (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)))) |
(exp.f64 (log.f64 (/.f64 x (+.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y))) |
(fma.f64 x (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)))) |
(fma.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x) (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)))) |
(fma.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)) (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x))) |
(fma.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) x (*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) x))) |
(/.f64 x (+.f64 x y)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (+.f64 x y) x)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 (*.f64 x (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 x (-.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (+.f64 x y)))) |
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y)))) |
(/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (*.f64 (-.f64 y x) (*.f64 y (-.f64 y x))))))) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))))) |
(/.f64 (*.f64 x (*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y))) |
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 x y) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 x y) (+.f64 (*.f64 x x) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 x y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (-.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (-.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y)))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (/.f64 (*.f64 y y) (-.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y)))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (/.f64 (*.f64 y y) (-.f64 x y)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (+.f64 (*.f64 x x) (*.f64 y y))) |
(pow.f64 (+.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x y) #s(literal 1 binary64)) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (/.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x y)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) |
(*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (*.f64 (-.f64 y x) (*.f64 y (-.f64 y x))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
| 1× | egg-herbie |
| 3402× | *-lowering-*.f32 |
| 3402× | *-lowering-*.f64 |
| 2246× | +-lowering-+.f64 |
| 2246× | +-lowering-+.f32 |
| 1844× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 404 | 2185 |
| 1 | 1351 | 1753 |
| 2 | 4969 | 1706 |
| 0 | 8060 | 1706 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/ (exp (* -1 y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(/ (exp (* -1 y)) x) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(exp (* -1 y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) 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))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (log.f64 x) (log.f64 y)))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (log.f64 x) (log.f64 y)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (log.f64 x) (log.f64 y)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y)))) (/.f64 #s(literal -1 binary64) y))))))) x) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x) |
(/ (+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x) |
(/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) x) |
(/.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (*.f64 y y) #s(literal -2 binary64)))))) (*.f64 x x)))) x) |
(/ (+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) x) |
(/.f64 (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (*.f64 y y) #s(literal -2 binary64))))) (*.f64 x x)) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/48 binary64))) (+.f64 (+.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -2 binary64))) (*.f64 (*.f64 y y) #s(literal 1/12 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64))))) (*.f64 x (*.f64 x x))))))) x) |
(/ (exp (* -1 y)) x) |
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) x)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) x))) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x))) x))) x) |
(* -1 (/ (+ (* -1 (exp (* -1 y))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) x)) (* 1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/48 binary64))) (+.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 1/12 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) #s(literal -1/24 binary64))))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y))))))) x)) x))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)))) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) x)))) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(/.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (exp (* x (+ (log x) (log (/ 1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) x) (*.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 x y))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2))))) |
(+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) x) (*.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 x y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)))) (*.f64 x (*.f64 y y)))) |
(+ (* -1 (/ (* x (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (exp (* x (+ (log x) (log (/ 1 y))))) x) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (* x (pow y 3))) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x (pow y 2)))))) |
(+.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) x) (*.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 x y))) (*.f64 (/.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 y y))) (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x) #s(literal 1/6 binary64))))) (*.f64 y (*.f64 y y)))))) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) |
(+ (* -1 (/ (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 x y))) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (* x y))) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (/.f64 (-.f64 (*.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x))) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) #s(literal 1/2 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 x y))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) (* x y))) (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) x)) y)) (* x (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y)) (/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) x) (/.f64 (-.f64 (*.f64 x (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) #s(literal 1/2 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) x) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (*.f64 x y)))) y)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (log.f64 x) (log.f64 y)))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (/ 1 y))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (log.f64 x) (log.f64 y)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (- (+ (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)) (* x (+ (* -1 (/ (+ (log x) (log (/ 1 y))) y)) (+ (* 1/6 (pow (+ (log x) (log (/ 1 y))) 3)) (* 1/2 (/ 1 (pow y 2))))))) (/ 1 y))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 (log.f64 x) (log.f64 y)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 2 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 x) (log.f64 y)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 (-.f64 (log.f64 x) (log.f64 y)) y)))) (/.f64 #s(literal -1 binary64) y))))))) |
(exp (* -1 y)) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2)))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (*.f64 y y) #s(literal -2 binary64)))))) (*.f64 x x)))) |
(+ (exp (* -1 y)) (+ (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)) (+ (/ (* (exp (* -1 y)) (+ (* 1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (+ (* 1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (pow x 3)) (/ (* (exp (* -1 y)) (+ (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)) (* 1/6 (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))) (pow x 2))))) |
(+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 (*.f64 y y) #s(literal -2 binary64))))) (*.f64 x x)) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 y y) #s(literal 1/48 binary64))) (+.f64 (+.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -2 binary64))) (*.f64 (*.f64 y y) #s(literal 1/12 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64))))) (*.f64 x (*.f64 x x))))))) |
(exp (* -1 y)) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
(+ (exp (* -1 y)) (* 1/2 (/ (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x))) |
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 (*.f64 y y) x) #s(literal 1/2 binary64)))) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2)))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x))) x)) |
(+ (exp (* -1 y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 y)) (+ (* -1/24 (+ (* -24 (pow y 4)) (+ (* -12 (pow y 4)) (+ (* -6 (pow y 4)) (* 48 (pow y 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 3)) (* 1/12 (* (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) x)) (* (exp (* -1 y)) (+ (* -1/6 (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) (* 1/8 (pow (+ (* -1 (pow y 2)) (* 2 (pow y 2))) 2))))) x)) (* -1/2 (* (exp (* -1 y)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) x))) |
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) (/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y)))))) (*.f64 (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/48 binary64))) (+.f64 (*.f64 (*.f64 y y) (*.f64 #s(literal 1/12 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) (*.f64 y y))))) (+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 30 binary64)) #s(literal -1/24 binary64))))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x))) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y))) |
(-.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 x (/.f64 x y)))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2)))) |
(+.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)))) (*.f64 y y)) (*.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 x (/.f64 x y))))) |
(+ (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1 (/ (* (pow x 2) (exp (* x (+ (log x) (log (/ 1 y)))))) y)) (+ (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* -1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (+ (* -1/6 (pow x 6)) (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* -2 (pow x 3)) (* 6 (pow x 3))))))))) (pow y 3)) (/ (* (exp (* x (+ (log x) (log (/ 1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) (pow y 2))))) |
(+.f64 (-.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 x (/.f64 x y)))) (*.f64 (*.f64 (pow.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) y) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 y y))) (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) x) #s(literal 1/6 binary64))))) (*.f64 y (*.f64 y y)))))) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y)))))) y))) |
(-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (*.f64 x (/.f64 x y)))) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4)))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x))) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) #s(literal 1/2 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) y)) y)) |
(+ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/6 (* x (+ (* -6 (pow x 3)) (+ (* 2 (pow x 3)) (* 6 (pow x 3)))))) (+ (* 1/6 (pow x 6)) (* 1/2 (* (pow x 3) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))))) y)) (* (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) (+ (* 1/2 (* x (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/2 (pow x 4))))) y)) (* (pow x 2) (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))))) y))) |
(-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) #s(literal 1/2 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) x)) y))) y)) y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y))))))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y y) x) y) x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 y (*.f64 y y)) x)) x) y) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (*.f64 y y) x)) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 y (*.f64 y y)) x)) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y y) x) y) x)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 y (*.f64 x x)) x))) (/.f64 #s(literal -1 binary64) x)))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (-.f64 x (*.f64 x (/.f64 x y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (+.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 x y))) (*.f64 x x)) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 (-.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 x (/.f64 x y)) (/.f64 (*.f64 x (*.f64 x (/.f64 x y))) y))) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (/.f64 x y)) x) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 x y))) (*.f64 x x)) y))) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) y) (*.f64 x (*.f64 x x))) y)) (*.f64 x x)) y))) y) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* x (+ 1 (/ y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* x (+ 1 (/ y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(* y (+ 1 (/ x y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(* y (+ 1 (/ x y))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 y (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 y (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 y (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal -1 binary64))) |
Compiled 9302 to 1523 computations (83.6% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 370 | 9 | 379 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 371 | 9 | 380 |
| Status | Accuracy | Program |
|---|---|---|
| 80.5% | (/.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) x) | |
| ▶ | 44.7% | (/.f64 (pow.f64 (/.f64 x y) x) x) |
| 58.2% | (/.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| ▶ | 58.6% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))))) x) |
| ▶ | 60.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x) |
| ▶ | 82.5% | (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x) |
| ▶ | 74.3% | (/.f64 #s(literal 1 binary64) x) |
| 55.1% | (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) x)))) | |
| 52.0% | (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)))) |
Compiled 308 to 198 computations (35.7% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (pow.f64 (/.f64 x y) x) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (/.f64 x y) x) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))) |
| ✓ | cost-diff | 0 | (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))))) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
| ✓ | cost-diff | 0 | (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) y) |
| ✓ | cost-diff | 0 | (exp.f64 (-.f64 #s(literal 0 binary64) y)) |
| ✓ | cost-diff | 0 | (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x) |
| 2762× | +-lowering-+.f64 |
| 2762× | +-lowering-+.f32 |
| 1944× | sum5-define |
| 1566× | distribute-lft-in |
| 1518× | *-lowering-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 289 |
| 1 | 84 | 269 |
| 2 | 271 | 263 |
| 3 | 937 | 261 |
| 4 | 5310 | 261 |
| 0 | 8241 | 261 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (- 0 y)) x) |
(exp (- 0 y)) |
(- 0 y) |
0 |
y |
x |
(/ 1 x) |
1 |
x |
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))) x) |
(+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))) |
1 |
(* y (+ -1 (* y (+ 1/2 (/ 1/2 x))))) |
y |
(+ -1 (* y (+ 1/2 (/ 1/2 x)))) |
-1 |
(* y (+ 1/2 (/ 1/2 x))) |
(+ 1/2 (/ 1/2 x)) |
1/2 |
(/ 1/2 x) |
x |
(/ (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))))) x) |
(+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))))) |
1 |
(* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))))) |
y |
(+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) |
-1 |
(* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) |
(- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))) |
(+ 1/2 (/ 1/2 x)) |
1/2 |
(/ 1/2 x) |
x |
(* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))) |
(+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) |
(+ 1/6 (/ 1/3 (* x x))) |
1/6 |
(/ 1/3 (* x x)) |
1/3 |
(* x x) |
(/ (pow (/ x y) x) x) |
(pow (/ x y) x) |
(/ x y) |
x |
y |
| Outputs |
|---|
(/ (exp (- 0 y)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x) |
(exp (- 0 y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(- 0 y) |
(-.f64 #s(literal 0 binary64) y) |
0 |
#s(literal 0 binary64) |
y |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x) |
(+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) |
1 |
#s(literal 1 binary64) |
(* y (+ -1 (* y (+ 1/2 (/ 1/2 x))))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
y |
(+ -1 (* y (+ 1/2 (/ 1/2 x)))) |
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
-1 |
#s(literal -1 binary64) |
(* y (+ 1/2 (/ 1/2 x))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(+ 1/2 (/ 1/2 x)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
x |
(/ (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))))))) x) |
(+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))))))) |
1 |
#s(literal 1 binary64) |
(* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))))))) |
y |
(+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) |
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))))) |
-1 |
#s(literal -1 binary64) |
(* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))))) |
(- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))) |
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))) |
(+ 1/2 (/ 1/2 x)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
x |
(* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) |
(+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) |
(+ 1/6 (/ 1/3 (* x x))) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
1/6 |
#s(literal 1/6 binary64) |
(/ 1/3 (* x x)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
1/3 |
#s(literal 1/3 binary64) |
(* x x) |
(*.f64 x x) |
(/ (pow (/ x y) x) x) |
(/.f64 (pow.f64 (/.f64 x y) x) x) |
(pow (/ x y) x) |
(pow.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
x |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 (pow.f64 (/.f64 x y) x) x) |
| ✓ | accuracy | 94.7% | (pow.f64 (/.f64 x y) x) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
| ✓ | accuracy | 98.8% | (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) |
| ✓ | accuracy | 96.7% | (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 93.7% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))))) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
| ✓ | accuracy | 99.9% | (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
| ✓ | accuracy | 99.9% | (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | accuracy | 94.1% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) y) |
| ✓ | accuracy | 100.0% | (exp.f64 (-.f64 #s(literal 0 binary64) y)) |
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x) |
| 163.0ms | 233× | 0 | valid |
| 12.0ms | 23× | 0 | invalid |
Compiled 307 to 34 computations (88.9% saved)
ival-div: 18.0ms (28.6% of total)ival-add: 16.0ms (25.4% of total)ival-mult: 10.0ms (15.9% of total)...c/correct-round.rkt:119:19: 7.0ms (11.1% of total)ival-pow: 7.0ms (11.1% of total)ival-sub: 3.0ms (4.8% of total)ival-exp: 2.0ms (3.2% of total)const: 1.0ms (1.6% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (exp (- 0 y)) x)> |
#<alt (exp (- 0 y))> |
#<alt (- 0 y)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))) x)> |
#<alt (+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x))))))> |
#<alt (* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))> |
#<alt (+ -1 (* y (+ 1/2 (/ 1/2 x))))> |
#<alt (/ (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))))) x)> |
#<alt (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))))))> |
#<alt (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))))> |
#<alt (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))))> |
#<alt (/ (pow (/ x y) x) x)> |
#<alt (pow (/ x y) x)> |
#<alt (/ x y)> |
#<alt (* y (+ 1/2 (/ 1/2 x)))> |
#<alt (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))> |
#<alt (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))> |
#<alt (/ 1/3 (* x x))> |
| Outputs |
|---|
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* 1/2 y) 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))> |
#<alt (exp (neg y))> |
#<alt (exp (neg y))> |
#<alt (exp (neg y))> |
#<alt (exp (neg y))> |
#<alt (exp (* -1 y))> |
#<alt (exp (* -1 y))> |
#<alt (exp (* -1 y))> |
#<alt (exp (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))> |
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x)> |
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))> |
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))> |
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y))))> |
#<alt (/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x)> |
#<alt (* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x)))))> |
#<alt (* 1/2 (/ (pow y 2) (pow x 2)))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2))> |
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)> |
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)> |
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)> |
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x)> |
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) x)> |
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)))> |
#<alt (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))> |
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt (* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))> |
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))> |
#<alt (* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x)> |
#<alt (+ 1 (* y (- (* 1/2 y) 1)))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (+ 1 (* y (- (* 1/2 y) 1)))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))))> |
#<alt (* -1 y)> |
#<alt (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))> |
#<alt (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))> |
#<alt (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))> |
#<alt (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))> |
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x))))> |
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* 1/2 (/ (pow y 2) x))> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (* y (- (* 1/2 y) 1)))) x)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (* y (- (* 1/2 y) 1)))) x)> |
#<alt (/ (+ (* 1/2 (pow y 2)) (* x (* y (- (* 1/2 y) 1)))) x)> |
#<alt (* y (- (* 1/2 y) 1))> |
#<alt (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))> |
#<alt (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))> |
#<alt (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))> |
#<alt (* y (- (* 1/2 y) 1))> |
#<alt (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))> |
#<alt (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))> |
#<alt (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))> |
#<alt -1> |
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)> |
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)> |
#<alt (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)> |
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))> |
#<alt (* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)))> |
#<alt (* y (+ 1/2 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))> |
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))> |
#<alt (* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y))))> |
#<alt (* 1/2 (/ y x))> |
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)> |
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)> |
#<alt (/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x)> |
#<alt (- (* 1/2 y) 1)> |
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)> |
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)> |
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)> |
#<alt (- (* 1/2 y) 1)> |
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)> |
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)> |
#<alt (- (+ (* 1/2 y) (* 1/2 (/ y x))) 1)> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x))> |
#<alt (* -1 (/ (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x))> |
#<alt (* (pow y 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))))> |
#<alt (* (pow y 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))) (/ 1 (* x (pow y 2)))))> |
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#<alt (pow (/ x y) x)> |
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#<alt (/ x y)> |
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#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
#<alt (/ x y)> |
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#<alt (/ (+ (* 1/2 y) (* 1/2 (* x y))) x)> |
#<alt (/ (+ (* 1/2 y) (* 1/2 (* x y))) x)> |
#<alt (* 1/2 y)> |
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#<alt (* 1/2 y)> |
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#<alt (* 1/6 y)> |
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#<alt (* 1/6 y)> |
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#<alt (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))> |
#<alt (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)))> |
#<alt (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)))> |
#<alt (* y (- 1/2 (* 1/6 y)))> |
#<alt (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))> |
#<alt (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y))))> |
#<alt (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y))))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ 1/3 (pow x 2))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 72.0ms | y | @ | 0 | (/ (pow (/ x y) x) x) |
| 21.0ms | y | @ | inf | (/ (pow (/ x y) x) x) |
| 19.0ms | y | @ | -inf | (/ (pow (/ x y) x) x) |
| 4.0ms | x | @ | -inf | (/ (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))))) x) |
| 3.0ms | x | @ | 0 | (/ (+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))) x) |
| 1× | batch-egg-rewrite |
| 2620× | /-lowering-/.f32 |
| 2620× | /-lowering-/.f64 |
| 2454× | *-lowering-*.f32 |
| 2454× | *-lowering-*.f64 |
| 2068× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 218 |
| 1 | 245 | 200 |
| 2 | 2595 | 195 |
| 0 | 8481 | 195 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (- 0 y)) x) |
(exp (- 0 y)) |
(- 0 y) |
(/ 1 x) |
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))) x) |
(+ 1 (* y (+ -1 (* y (+ 1/2 (/ 1/2 x)))))) |
(* y (+ -1 (* y (+ 1/2 (/ 1/2 x))))) |
(+ -1 (* y (+ 1/2 (/ 1/2 x)))) |
(/ (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))))) x) |
(+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))))) |
(* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))))) |
(+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x)))))))) |
(/ (pow (/ x y) x) x) |
(pow (/ x y) x) |
(/ x y) |
(* y (+ 1/2 (/ 1/2 x))) |
(* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))) |
(* y (- (+ 1/2 (/ 1/2 x)) (* y (+ (/ 1/2 x) (+ 1/6 (/ 1/3 (* x x))))))) |
(/ 1/3 (* x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 x (exp.f64 y))) #s(literal -1 binary64))) |
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) y)) |
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 y) (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (exp.f64 y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 y) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (exp.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 y) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (exp.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(pow.f64 (*.f64 x (exp.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (exp.f64 y) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (exp.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 y) #s(literal 1 binary64)))) |
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y))) (exp.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)))) |
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) y)) (exp.f64 y)) |
(pow.f64 (exp.f64 y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (exp.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) y) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 y))) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) |
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 0 binary64) y) y) |
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) y) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64)))) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))))) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))))) |
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(/.f64 (*.f64 y (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))))) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))))) y) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))) y) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))))))) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))))) y)) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))) y)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))))) |
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 #s(literal -1/3 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
| 1× | egg-herbie |
| 4296× | *-lowering-*.f32 |
| 4296× | *-lowering-*.f64 |
| 3050× | +-lowering-+.f64 |
| 3050× | +-lowering-+.f32 |
| 1290× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 389 | 5160 |
| 1 | 1272 | 4574 |
| 2 | 4761 | 4463 |
| 0 | 8153 | 4463 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x)) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (* -1 y)) x) |
(/ (exp (* -1 y)) x) |
(/ (exp (* -1 y)) x) |
(/ (exp (* -1 y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(exp (neg y)) |
(exp (neg y)) |
(exp (neg y)) |
(exp (neg y)) |
(exp (* -1 y)) |
(exp (* -1 y)) |
(exp (* -1 y)) |
(exp (* -1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x) |
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (+ (* 1/2 (/ 1 x)) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(/ (* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) x) |
(* (pow y 2) (- (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))) (/ 1 (* x y)))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))))) |
(* 1/2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) (pow x 2)) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/ (+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) x) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) x) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* 1/2 y) 1)))) (* -1/2 (/ (pow y 2) x))) x)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* (pow y 2) (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x))))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(/ (+ (* 1/2 (pow y 2)) (* x (+ 1 (* y (- (* 1/2 y) 1))))) x) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(+ 1 (+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1)))) |
(* -1 y) |
(* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (+ 1/2 (* 1/2 (/ 1 x)))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* (pow y 2) (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* 1/2 (/ (pow y 2) x)) |
(/ (+ (* 1/2 (pow y 2)) (* x (* y (- (* 1/2 y) 1)))) x) |
(/ (+ (* 1/2 (pow y 2)) (* x (* y (- (* 1/2 y) 1)))) x) |
(/ (+ (* 1/2 (pow y 2)) (* x (* y (- (* 1/2 y) 1)))) x) |
(* y (- (* 1/2 y) 1)) |
(+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))) |
(+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))) |
(+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))) |
(* y (- (* 1/2 y) 1)) |
(+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))) |
(+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))) |
(+ (* 1/2 (/ (pow y 2) x)) (* y (- (* 1/2 y) 1))) |
-1 |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* y (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)))) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(/ (+ (* 1/2 y) (* x (- (* 1/2 y) 1))) x) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(- (* 1/2 y) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(- (+ (* 1/2 y) (* 1/2 (/ y x))) 1) |
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (/ 1 x))) (/ 1 x)) |
(* -1 (/ (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) |
(* (pow y 3) (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y))))) |
(* (pow y 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (/ 1/2 (* (pow x 2) y)))) (/ 1 (* x (pow y 2))))) |
(* (pow y 3) (- (+ (* -1 (/ (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) x)) (+ (/ 1/2 (* x y)) (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (* x (pow y 3)))))) (/ 1 (* x (pow y 2))))) |
(* -1 (/ (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) x)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) y)) (+ (/ 1/3 (pow x 3)) (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 (* x y))) y)) (+ (/ 1/3 (pow x 3)) (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) y)) (+ (/ 1/3 (pow x 3)) (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (- 1/2 (* 1/2 y))))) (pow x 3)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 3)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 3)) |
(/ (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1))) x) |
(/ (+ 1 (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x))) x) |
(/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)))) x) |
(/ (+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)))) x) |
(/ (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1))) x) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* -1 (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) x)) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (+ 1/2 (* -1/2 y)))) x))) x)) |
(* -1 (/ (+ (* -1 (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* -1 (/ (+ (* -1/3 (/ (pow y 3) x)) (* (pow y 2) (+ 1/2 (* -1/2 y)))) x))) x)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2))))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3)))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (* 1/2 (/ 1 x)))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (- 1/2 (* 1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1))) |
(+ 1 (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)))) |
(+ 1 (+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)))) |
(+ 1 (* y (- (* y (- 1/2 (* 1/6 y))) 1))) |
(+ 1 (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (- 1/2 (* 1/6 y))) 1)))) |
(* -1 y) |
(* y (- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1)) |
(* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)) |
(* y (- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1)) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 3) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* (pow y 3) (- (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))) (/ 1 (pow y 2)))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1 (* (pow y 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1 y)) y)) (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))) |
(* -1/3 (/ (pow y 3) (pow x 2))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (- 1/2 (* 1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (* y (- (* y (- 1/2 (* 1/6 y))) 1))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 3)) (* x (+ (* x (* y (- (* y (- 1/2 (* 1/6 y))) 1))) (* (pow y 2) (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(* y (- (* y (- 1/2 (* 1/6 y))) 1)) |
(+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x)) |
(+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x))) |
(+ (* -1/3 (/ (pow y 3) (pow x 2))) (+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (- 1/2 (* 1/2 y))) x))) |
(* y (- (* y (- 1/2 (* 1/6 y))) 1)) |
(+ (* y (- (* y (- 1/2 (* 1/6 y))) 1)) (/ (* (pow y 2) (+ 1/2 (* -1/2 y))) x)) |
(+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (- 1/2 (* 1/6 y))) 1))) |
(+ (* -1 (/ (+ (* -1 (* (pow y 2) (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 3) x))) x)) (* y (- (* y (- 1/2 (* 1/6 y))) 1))) |
-1 |
(- (* y (+ 1/2 (* 1/2 (/ 1 x)))) 1) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
(- (* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) 1) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2))))))) |
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow y 2))))))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* -1 (/ (+ (* -1 (+ 1/2 (* 1/2 (/ 1 x)))) (/ 1 y)) y)))) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (- 1/2 (* 1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (- 1/2 (* 1/6 y))) 1)) (* y (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (- (* y (- 1/2 (* 1/6 y))) 1)) (* y (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(- (* y (- 1/2 (* 1/6 y))) 1) |
(- (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) 1) |
(- (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) 1) |
(- (* y (- 1/2 (* 1/6 y))) 1) |
(- (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) 1) |
(- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) 1) |
(- (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) 1) |
(/ 1 x) |
(/ (+ 1 (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* 1/2 (* x (pow (+ (log x) (log (/ 1 y))) 2))))))) x) |
(/ (+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (+ (* 1/6 (* x (pow (+ (log x) (log (/ 1 y))) 3))) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)))))))) x) |
(/ (pow (/ x y) x) x) |
(/ (pow (/ x y) x) x) |
(/ (pow (/ x y) x) x) |
(/ (pow (/ x y) x) x) |
(/ (pow (/ x y) x) x) |
(/ (pow (/ x y) x) x) |
(/ (pow (/ x y) x) x) |
(/ (pow (/ x y) x) x) |
(/ (exp (* x (+ (log x) (* -1 (log y))))) x) |
(/ (exp (* x (+ (log x) (* -1 (log y))))) x) |
(/ (exp (* x (+ (log x) (* -1 (log y))))) x) |
(/ (exp (* x (+ (log x) (* -1 (log y))))) x) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (exp (* x (+ (log x) (log (/ 1 y))))) x) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
(/ (exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) x) |
1 |
(+ 1 (* x (+ (log x) (log (/ 1 y))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* 1/2 (* x (pow (+ (log x) (log (/ 1 y))) 2))))))) |
(+ 1 (* x (+ (log x) (+ (log (/ 1 y)) (* x (+ (* 1/6 (* x (pow (+ (log x) (log (/ 1 y))) 3))) (* 1/2 (pow (+ (log x) (log (/ 1 y))) 2)))))))) |
(pow (/ x y) x) |
(pow (/ x y) x) |
(pow (/ x y) x) |
(pow (/ x y) x) |
(pow (/ x y) x) |
(pow (/ x y) x) |
(pow (/ x y) x) |
(pow (/ x y) x) |
(exp (* x (+ (log x) (* -1 (log y))))) |
(exp (* x (+ (log x) (* -1 (log y))))) |
(exp (* x (+ (log x) (* -1 (log y))))) |
(exp (* x (+ (log x) (* -1 (log y))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(exp (* x (+ (log x) (log (/ 1 y))))) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(exp (* x (+ (log (* -1 x)) (log (/ -1 y))))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* 1/2 (/ y x)) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(/ (+ (* 1/2 y) (* 1/2 (* x y))) x) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(* 1/2 y) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(+ (* 1/2 y) (* 1/2 (/ y x))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* 1/3 (/ y (pow x 2))) |
(/ (+ (* 1/3 y) (* 1/2 (* x y))) (pow x 2)) |
(/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 2)) |
(/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 2)) |
(* 1/6 y) |
(+ (* 1/6 y) (* 1/2 (/ y x))) |
(+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x)))) |
(+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x)))) |
(* 1/6 y) |
(+ (* 1/6 y) (* 1/2 (/ y x))) |
(+ (* -1 (/ (+ (* -1/2 y) (* -1/3 (/ y x))) x)) (* 1/6 y)) |
(+ (* -1 (/ (+ (* -1/2 y) (* -1/3 (/ y x))) x)) (* 1/6 y)) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (- 1/2 (* 1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (- 1/2 (* 1/6 y)))) (* y (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (- 1/2 (* 1/6 y)))) (* y (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(* y (- 1/2 (* 1/6 y))) |
(+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) |
(* y (- 1/2 (* 1/6 y))) |
(+ (* y (- 1/2 (* 1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) |
(+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) |
(+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)))) |
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) x)))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (* -1 y)) x) |
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(*.f64 y (-.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(*.f64 y (-.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))))) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (- 1/2 (* 1/2 y))))) (pow x 2)) |
(/.f64 (*.f64 y (+.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (- 1/2 (* 1/6 y)))) (* y (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (*.f64 (*.f64 x y) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x)))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (- 1/2 (* 1/6 y)))) (* y (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (*.f64 (*.f64 x y) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) x)))) (*.f64 x x)) |
(* y (- 1/2 (* 1/6 y))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)) |
(*.f64 y (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) x))) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) |
(+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (*.f64 x x)) (*.f64 y (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) x)))) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) |
(+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -1/3 binary64))) (*.f64 x x)) (*.f64 y (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) x)))) |
(* y (- 1/2 (* 1/6 y))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(+ (* y (- 1/2 (* 1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) |
(*.f64 y (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) x))) |
(+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) |
(-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) x) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)) |
(+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) |
(-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/3 binary64)) x) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
Compiled 27188 to 2569 computations (90.6% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 935 | 16 | 951 |
| Fresh | 3 | 1 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 941 | 19 | 960 |
| Status | Accuracy | Program |
|---|---|---|
| 44.7% | (/.f64 (pow.f64 (pow.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x) | |
| ✓ | 44.7% | (/.f64 (pow.f64 (/.f64 x y) x) x) |
| 55.9% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))))) x) | |
| ▶ | 82.5% | (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x) |
| ▶ | 58.2% | (/.f64 (-.f64 #s(literal 1 binary64) y) x) |
| 45.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 (*.f64 x y) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x x))))))) x) | |
| ▶ | 51.1% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64))) y) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64)))))))) x) |
| ▶ | 66.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
| 63.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) | |
| 62.4% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x))))) x) | |
| 25.1% | (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))))) x) | |
| 8.7% | (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) | |
| 8.4% | (/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) | |
| 82.5% | (/.f64 (exp.f64 (neg.f64 y)) x) | |
| ✓ | 74.3% | (/.f64 #s(literal 1 binary64) x) |
| 63.3% | (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) x)))) | |
| ▶ | 58.5% | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))))))) |
| 28.0% | (*.f64 (*.f64 y y) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 x y))))) | |
| 7.6% | (*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y)))))))) |
Compiled 886 to 495 computations (44.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 1280 | (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64))) y) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64)))))) |
| ✓ | cost-diff | 1280 | (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64))) y) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64))))))) |
| ✓ | cost-diff | 1280 | (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64))) y) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64)))))))) |
| ✓ | cost-diff | 1280 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64))) y) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64)))))))) x) |
| ✓ | cost-diff | 0 | (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) y) x) |
| ✓ | cost-diff | 0 | (exp.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (exp.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x) |
| 4812× | +-lowering-+.f64 |
| 4812× | +-lowering-+.f32 |
| 3220× | *-lowering-*.f32 |
| 3220× | *-lowering-*.f64 |
| 1708× | distribute-lft-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 541 |
| 1 | 137 | 497 |
| 2 | 482 | 485 |
| 3 | 1824 | 482 |
| 0 | 8092 | 482 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 1 (exp y)) x) |
(/ 1 (exp y)) |
1 |
(exp y) |
y |
x |
(/ (- 1 y) x) |
(- 1 y) |
1 |
y |
x |
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) x) |
(+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) |
1 |
(* y (+ -1 (* y (+ 1/2 (* y -1/6))))) |
y |
(+ -1 (* y (+ 1/2 (* y -1/6)))) |
-1 |
(* y (+ 1/2 (* y -1/6))) |
(+ 1/2 (* y -1/6)) |
1/2 |
(* y -1/6) |
-1/6 |
x |
(* (/ 1 x) (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x)))))))))) |
(/ 1 x) |
1 |
x |
(+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))))))))) |
(* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x)))))))) |
y |
(+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))))))) |
-1 |
(* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x)))))) |
(- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))))) |
(+ 1/2 (/ 1/2 x)) |
1/2 |
(/ 1/2 x) |
(* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x)))) |
(+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) |
1/6 |
(+ (/ 1/3 (* x x)) (/ 1/2 x)) |
(/ 1/3 (* x x)) |
1/3 |
(* x x) |
(/ (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))))))) x) |
(+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))))))) |
1 |
(* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)))))) |
y |
(+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))))) |
-1 |
(* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)))) |
(- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))) |
(+ 1/2 (/ 1/2 x)) |
1/2 |
(/ 1/2 x) |
x |
(/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) |
(* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) |
(* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) |
(+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) |
1/6 |
(+ (/ 1/3 (* x x)) (/ 1/2 x)) |
(/ 1/3 (* x x)) |
1/3 |
(* x x) |
(- (/ (- 1/2 (/ 1/3 x)) x) 1/6) |
(/ (- 1/2 (/ 1/3 x)) x) |
(- 1/2 (/ 1/3 x)) |
(/ 1/3 x) |
| Outputs |
|---|
(/ (/ 1 (exp y)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (exp y)) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
1 |
#s(literal 1 binary64) |
(exp y) |
(exp.f64 y) |
y |
x |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
x |
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
(+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* y (+ -1 (* y (+ 1/2 (* y -1/6))))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) |
y |
(+ -1 (* y (+ 1/2 (* y -1/6)))) |
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) |
-1 |
#s(literal -1 binary64) |
(* y (+ 1/2 (* y -1/6))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(+ 1/2 (* y -1/6)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* y -1/6) |
(*.f64 y #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
x |
(* (/ 1 x) (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x)))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)))))))))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)))))))))) |
(* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x)))))))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))))))))) |
y |
(+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))))))) |
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)))))))) |
-1 |
#s(literal -1 binary64) |
(* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x)))))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))))))) |
(- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))))) |
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)))))) |
(+ 1/2 (/ 1/2 x)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x)))) |
(*.f64 y (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
1/6 |
#s(literal 1/6 binary64) |
(+ (/ 1/3 (* x x)) (/ 1/2 x)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(/ 1/3 (* x x)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
1/3 |
#s(literal 1/3 binary64) |
(* x x) |
(*.f64 x x) |
(/ (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)))))))))) x) |
(+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)))))))))) |
1 |
#s(literal 1 binary64) |
(* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)))))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))))))))) |
y |
(+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))))) |
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)))))))) |
-1 |
#s(literal -1 binary64) |
(* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))))))) |
(- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))) |
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) x) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)))))) |
(+ 1/2 (/ 1/2 x)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
x |
(/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) |
(*.f64 y (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) |
(*.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) |
(* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) |
(+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
1/6 |
#s(literal 1/6 binary64) |
(+ (/ 1/3 (* x x)) (/ 1/2 x)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(/ 1/3 (* x x)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
1/3 |
#s(literal 1/3 binary64) |
(* x x) |
(*.f64 x x) |
(- (/ (- 1/2 (/ 1/3 x)) x) 1/6) |
(+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) |
(/ (- 1/2 (/ 1/3 x)) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) |
(- 1/2 (/ 1/3 x)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.8% | (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64))) y) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 96.7% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64))) y) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64)))))))) x) |
| ✓ | accuracy | 94.2% | (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64))) y) |
| ✓ | accuracy | 87.0% | (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64))) y) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
| ✓ | accuracy | 98.8% | (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))) |
| ✓ | accuracy | 96.6% | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))))))) |
| ✓ | accuracy | 95.7% | (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))) |
| ✓ | accuracy | 100.0% | (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) |
| ✓ | accuracy | 99.9% | (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 96.6% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) y) x) |
| ✓ | accuracy | 100.0% | (exp.f64 y) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (exp.f64 y)) |
| 182.0ms | 199× | 0 | valid |
| 88.0ms | 57× | 0 | unsamplable |
Compiled 711 to 48 computations (93.2% saved)
ival-mult: 36.0ms (35.8% of total)ival-div: 33.0ms (32.8% of total)ival-add: 12.0ms (11.9% of total)...c/correct-round.rkt:119:19: 11.0ms (10.9% of total)ival-sub: 6.0ms (6% of total)ival-exp: 2.0ms (2% of total)const: 1.0ms (1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ 1 (exp y)) x)> |
#<alt (/ 1 (exp y))> |
#<alt (exp y)> |
#<alt (/ (- 1 y) x)> |
#<alt (- 1 y)> |
#<alt (/ (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) x)> |
#<alt (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6))))))> |
#<alt (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))> |
#<alt (+ -1 (* y (+ 1/2 (* y -1/6))))> |
#<alt (* (/ 1 x) (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))))))))))> |
#<alt (/ 1 x)> |
#<alt (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x)))))))))> |
#<alt (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))))))))> |
#<alt (/ (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))))))) x)> |
#<alt (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)))))))> |
#<alt (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))))))> |
#<alt (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)))))> |
#<alt (* y -1/6)> |
#<alt (* y (+ 1/2 (* y -1/6)))> |
#<alt (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))))> |
#<alt (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))))))> |
#<alt (/ 1/3 (* x x))> |
#<alt (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))> |
#<alt (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y)> |
#<alt (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))))> |
| Outputs |
|---|
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
#<alt (/ 1 (* x (exp y)))> |
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#<alt (* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))> |
#<alt (* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))))> |
#<alt (* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))))> |
#<alt (* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y)))))> |
#<alt (* -1/3 (/ (pow y 2) (pow x 2)))> |
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (* y (- 1/2 (* 1/2 y))))) (pow x 2))> |
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (- 1/2 (* 1/6 y)))) (* y (- 1/2 (* 1/2 y)))))) (pow x 2))> |
#<alt (/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (- 1/2 (* 1/6 y)))) (* y (- 1/2 (* 1/2 y)))))) (pow x 2))> |
#<alt (* y (- 1/2 (* 1/6 y)))> |
#<alt (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))> |
#<alt (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)))> |
#<alt (+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)))> |
#<alt (* y (- 1/2 (* 1/6 y)))> |
#<alt (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x))> |
#<alt (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y))))> |
#<alt (+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y))))> |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (/ (/ 1 (exp y)) x) |
| 2.0ms | x | @ | 0 | (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) |
| 1.0ms | x | @ | -inf | (/ (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))))))) x) |
| 1.0ms | y | @ | 0 | (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) |
| 1.0ms | x | @ | 0 | (/ (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) x) |
| 1× | batch-egg-rewrite |
| 2642× | *-lowering-*.f32 |
| 2642× | *-lowering-*.f64 |
| 2462× | fma-lowering-fma.f32 |
| 2462× | fma-lowering-fma.f64 |
| 2344× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 467 |
| 1 | 371 | 432 |
| 2 | 4355 | 423 |
| 0 | 8205 | 423 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 1 (exp y)) x) |
(/ 1 (exp y)) |
(exp y) |
(/ (- 1 y) x) |
(- 1 y) |
(/ (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) x) |
(+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) |
(* y (+ -1 (* y (+ 1/2 (* y -1/6))))) |
(+ -1 (* y (+ 1/2 (* y -1/6)))) |
(* (/ 1 x) (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x)))))))))) |
(/ 1 x) |
(+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))))))))) |
(* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x)))))))) |
(/ (+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))))))) x) |
(+ 1 (* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))))))) |
(* y (+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)))))) |
(+ -1 (* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6))))) |
(* y -1/6) |
(* y (+ 1/2 (* y -1/6))) |
(* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x)))) |
(* y (- (+ 1/2 (/ 1/2 x)) (* y (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x)))))) |
(/ 1/3 (* x x)) |
(/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) |
(* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) |
(* y (- (+ 1/2 (/ 1/2 x)) (/ (* (* (+ 1/6 (+ (/ 1/3 (* x x)) (/ 1/2 x))) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)) y) (- (/ (- 1/2 (/ 1/3 x)) x) 1/6)))) |
| Outputs |
|---|
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 y)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 y) x) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 y) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 y)) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 y) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (exp.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (exp.f64 y))) |
(pow.f64 (*.f64 (exp.f64 y) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (exp.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y))) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 y)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 y))) |
(pow.f64 (exp.f64 y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 y))) |
(*.f64 (pow.f64 (exp.f64 y) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 y) #s(literal -1/2 binary64))) |
(exp.f64 y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 y))) |
(/.f64 (exp.f64 y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 y)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 y) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y x))) |
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) y (*.f64 (/.f64 #s(literal 1 binary64) x) y))) |
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) y (*.f64 (/.f64 #s(literal 1 binary64) x) y))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) y (*.f64 (/.f64 #s(literal 1 binary64) x) y))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) y (*.f64 (/.f64 #s(literal 1 binary64) x) y))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (neg.f64 (/.f64 y x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (/.f64 y x))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (/.f64 y x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x y)) (*.f64 x x)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 y x) (/.f64 y x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) |
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) #s(literal 1 binary64)))))) |
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) #s(literal 1 binary64)))) x)) |
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(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)))) |
(*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) |
(*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) y) |
(*.f64 (*.f64 y (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) |
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)))))) |
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)))) y)) |
(+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)))) y)) |
(/.f64 (*.f64 y (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (/.f64 (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)))))))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))))))) |
(/.f64 (*.f64 y (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (/.f64 (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))))))) y) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)))))) y) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))))) |
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))))) |
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)))) y) |
| 1× | egg-herbie |
| 4686× | *-lowering-*.f32 |
| 4686× | *-lowering-*.f64 |
| 2610× | +-lowering-+.f64 |
| 2610× | +-lowering-+.f32 |
| 1252× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 400 | 7280 |
| 1 | 1331 | 6327 |
| 2 | 5117 | 6252 |
| 0 | 8175 | 6252 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x)) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
(/ 1 (* x (exp y))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(/ 1 (exp y)) |
(/ 1 (exp y)) |
(/ 1 (exp y)) |
(/ 1 (exp y)) |
(/ 1 (exp y)) |
(/ 1 (exp y)) |
(/ 1 (exp y)) |
(/ 1 (exp y)) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(exp y) |
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(* -1 (/ y x)) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* -1 (/ y x)) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x)) |
(* -1/6 (/ (pow y 3) x)) |
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x)))) |
(* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))) |
(* -1/6 (/ (pow y 3) x)) |
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x))))) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y))))) |
(* -1 y) |
(* y (- (* 1/2 y) 1)) |
(* y (- (* y (+ 1/2 (* -1/6 y))) 1)) |
(* y (- (* y (+ 1/2 (* -1/6 y))) 1)) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2))))) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y))))) |
-1 |
(- (* 1/2 y) 1) |
(- (* y (+ 1/2 (* -1/6 y))) 1) |
(- (* y (+ 1/2 (* -1/6 y))) 1) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2))))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6)) |
(* -1/3 (/ (pow y 3) (pow x 3))) |
(/ (+ (* -1/3 (pow y 3)) (* x (* (pow y 2) (- 1/2 (* 1/2 y))))) (pow x 3)) |
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1 |
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(* y (+ 1/2 (* -1/6 y))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* 1/3 (/ y (pow x 2))) |
(/ (+ (* 1/3 y) (* 1/2 (* x y))) (pow x 2)) |
(/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 2)) |
(/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 2)) |
(* 1/6 y) |
(+ (* 1/6 y) (* 1/2 (/ y x))) |
(+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x)))) |
(+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x)))) |
(* 1/6 y) |
(+ (* 1/6 y) (* 1/2 (/ y x))) |
(+ (* -1 (/ (+ (* -1/2 y) (* -1/3 (/ y x))) x)) (* 1/6 y)) |
(+ (* -1 (/ (+ (* -1/2 y) (* -1/3 (/ y x))) x)) (* 1/6 y)) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (- 1/2 (* 1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (- 1/2 (* 1/6 y)))) (* y (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (- 1/2 (* 1/6 y)))) (* y (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(* y (- 1/2 (* 1/6 y))) |
(+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) |
(* y (- 1/2 (* 1/6 y))) |
(+ (* y (- 1/2 (* 1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) |
(+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) |
(+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(/ 1/3 (pow x 2)) |
(* 1/3 (/ y (pow x 2))) |
(/ (+ (* 1/3 y) (* 1/2 (* x y))) (pow x 2)) |
(/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 2)) |
(/ (+ (* 1/3 y) (* x (+ (* 1/6 (* x y)) (* 1/2 y)))) (pow x 2)) |
(* 1/6 y) |
(+ (* 1/6 y) (* 1/2 (/ y x))) |
(+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x)))) |
(+ (* 1/6 y) (+ (* 1/3 (/ y (pow x 2))) (* 1/2 (/ y x)))) |
(* 1/6 y) |
(+ (* 1/6 y) (* 1/2 (/ y x))) |
(+ (* -1 (/ (+ (* -1/2 y) (* -1/3 (/ y x))) x)) (* 1/6 y)) |
(+ (* -1 (/ (+ (* -1/2 y) (* -1/3 (/ y x))) x)) (* 1/6 y)) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(* -1/9 (/ y (pow x 4))) |
(/ (+ (* -1/9 y) (* 5/36 (* (pow x 2) y))) (pow x 4)) |
(/ (+ (* -1/9 y) (* (pow x 2) (+ (* -1/36 (* (pow x 2) y)) (* 5/36 y)))) (pow x 4)) |
(/ (+ (* -1/9 y) (* (pow x 2) (+ (* -1/36 (* (pow x 2) y)) (* 5/36 y)))) (pow x 4)) |
(* -1/36 y) |
(+ (* -1/36 y) (* 5/36 (/ y (pow x 2)))) |
(+ (* -1/9 (/ y (pow x 4))) (+ (* -1/36 y) (* 5/36 (/ y (pow x 2))))) |
(+ (* -1/9 (/ y (pow x 4))) (+ (* -1/36 y) (* 5/36 (/ y (pow x 2))))) |
(* -1/36 y) |
(+ (* -1/36 y) (* 5/36 (/ y (pow x 2)))) |
(+ (* -1/9 (/ y (pow x 4))) (+ (* -1/36 y) (* 5/36 (/ y (pow x 2))))) |
(+ (* -1/9 (/ y (pow x 4))) (+ (* -1/36 y) (* 5/36 (/ y (pow x 2))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (- 1/2 (* 1/2 y))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (- 1/2 (* 1/6 y)))) (* y (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (- 1/2 (* 1/6 y)))) (* y (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(* y (- 1/2 (* 1/6 y))) |
(+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) |
(* y (- 1/2 (* 1/6 y))) |
(+ (* y (- 1/2 (* 1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) |
(+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) |
(+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))) |
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) x)))) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/ 1 (* x (exp y))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) |
(/ 1 (exp y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(/ 1 (exp y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(/ 1 (exp y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(/ 1 (exp y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(/ 1 (exp y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(/ 1 (exp y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(/ 1 (exp y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(/ 1 (exp y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (+ 1 (* 1/2 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(+ 1 (* y (+ 1 (* y (+ 1/2 (* 1/6 y)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))))) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(exp y) |
(exp.f64 y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (/ y x)) |
(-.f64 #s(literal 0 binary64) (/.f64 y x)) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(*.f64 y (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) x))) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(*.f64 y (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) x))) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(*.f64 y (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal -1 binary64) x))) |
(* -1 (/ y x)) |
(-.f64 #s(literal 0 binary64) (/.f64 y x)) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (-.f64 #s(literal 0 binary64) y)) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (-.f64 #s(literal 0 binary64) y)) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))) |
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) x)))) |
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(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x)) |
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(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* -1/9 (/ y (pow x 4))) |
(/.f64 (*.f64 y #s(literal -1/9 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -1/9 y) (* 5/36 (* (pow x 2) y))) (pow x 4)) |
(/.f64 (*.f64 y (+.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 x x) #s(literal 5/36 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -1/9 y) (* (pow x 2) (+ (* -1/36 (* (pow x 2) y)) (* 5/36 y)))) (pow x 4)) |
(/.f64 (+.f64 (*.f64 y #s(literal -1/9 binary64)) (*.f64 (*.f64 x x) (*.f64 y (+.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) #s(literal 5/36 binary64))))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -1/9 y) (* (pow x 2) (+ (* -1/36 (* (pow x 2) y)) (* 5/36 y)))) (pow x 4)) |
(/.f64 (+.f64 (*.f64 y #s(literal -1/9 binary64)) (*.f64 (*.f64 x x) (*.f64 y (+.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) #s(literal 5/36 binary64))))) (pow.f64 x #s(literal 4 binary64))) |
(* -1/36 y) |
(*.f64 y #s(literal -1/36 binary64)) |
(+ (* -1/36 y) (* 5/36 (/ y (pow x 2)))) |
(+.f64 (*.f64 y #s(literal -1/36 binary64)) (*.f64 (/.f64 (/.f64 y x) x) #s(literal 5/36 binary64))) |
(+ (* -1/9 (/ y (pow x 4))) (+ (* -1/36 y) (* 5/36 (/ y (pow x 2))))) |
(+.f64 (*.f64 y #s(literal -1/36 binary64)) (+.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 5/36 binary64)) (/.f64 (*.f64 y #s(literal -1/9 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(+ (* -1/9 (/ y (pow x 4))) (+ (* -1/36 y) (* 5/36 (/ y (pow x 2))))) |
(+.f64 (*.f64 y #s(literal -1/36 binary64)) (+.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 5/36 binary64)) (/.f64 (*.f64 y #s(literal -1/9 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(* -1/36 y) |
(*.f64 y #s(literal -1/36 binary64)) |
(+ (* -1/36 y) (* 5/36 (/ y (pow x 2)))) |
(+.f64 (*.f64 y #s(literal -1/36 binary64)) (*.f64 (/.f64 (/.f64 y x) x) #s(literal 5/36 binary64))) |
(+ (* -1/9 (/ y (pow x 4))) (+ (* -1/36 y) (* 5/36 (/ y (pow x 2))))) |
(+.f64 (*.f64 y #s(literal -1/36 binary64)) (+.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 5/36 binary64)) (/.f64 (*.f64 y #s(literal -1/9 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(+ (* -1/9 (/ y (pow x 4))) (+ (* -1/36 y) (* 5/36 (/ y (pow x 2))))) |
(+.f64 (*.f64 y #s(literal -1/36 binary64)) (+.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 5/36 binary64)) (/.f64 (*.f64 y #s(literal -1/9 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(* y (* (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (- (* 1/2 (/ 1 x)) (+ 1/6 (* 1/3 (/ 1 (pow x 2))))))) |
(*.f64 y (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(* y (+ 1/2 (* 1/2 (/ 1 x)))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(*.f64 y (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(*.f64 y (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))))) |
(* y (+ 1/2 (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) (* 1/2 (/ 1 x))))) |
(*.f64 y (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(*.f64 (*.f64 y y) (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
(* -1 (* (pow y 2) (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))))) |
(*.f64 (*.f64 y y) (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
(* (pow y 2) (+ (* -1 (+ 1/6 (+ (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (+ (/ 1/2 (* x y)) (* 1/2 (/ 1 y))))) |
(*.f64 (*.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
(* -1/3 (/ (pow y 2) (pow x 2))) |
(/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) x) x) |
(/ (+ (* -1/3 (pow y 2)) (* x (* y (- 1/2 (* 1/2 y))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (*.f64 y (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (- 1/2 (* 1/6 y)))) (* y (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (*.f64 x (+.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 x y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) (*.f64 x x)) |
(/ (+ (* -1/3 (pow y 2)) (* x (+ (* x (* y (- 1/2 (* 1/6 y)))) (* y (- 1/2 (* 1/2 y)))))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (*.f64 x (+.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 x y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) (*.f64 x x)) |
(* y (- 1/2 (* 1/6 y))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x)) |
(*.f64 y (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) x))) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) x) x) (*.f64 y (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) x)))) |
(+ (* -1/3 (/ (pow y 2) (pow x 2))) (+ (* y (- 1/2 (* 1/6 y))) (/ (* y (- 1/2 (* 1/2 y))) x))) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) x) x) (*.f64 y (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) x)))) |
(* y (- 1/2 (* 1/6 y))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(+ (* y (- 1/2 (* 1/6 y))) (/ (* y (+ 1/2 (* -1/2 y))) x)) |
(*.f64 y (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))) x))) |
(+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) |
(-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y y) x)) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)) |
(+ (* -1 (/ (+ (* -1 (* y (+ 1/2 (* -1/2 y)))) (* 1/3 (/ (pow y 2) x))) x)) (* y (- 1/2 (* 1/6 y)))) |
(-.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y y) x)) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64))))) x)) |
Compiled 34568 to 2418 computations (93% saved)
26 alts after pruning (21 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 899 | 15 | 914 |
| Fresh | 6 | 6 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 907 | 26 | 933 |
| Status | Accuracy | Program |
|---|---|---|
| 44.7% | (/.f64 (pow.f64 (pow.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x) | |
| ✓ | 44.7% | (/.f64 (pow.f64 (/.f64 x y) x) x) |
| 59.4% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) #s(literal 1 binary64))) x) | |
| 68.2% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))))) x) | |
| 66.8% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x) | |
| 63.8% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) | |
| ✓ | 82.5% | (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x) |
| ✓ | 58.2% | (/.f64 (-.f64 #s(literal 1 binary64) y) x) |
| 61.9% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) y) (-.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) | |
| 66.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))))) x) | |
| 61.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) y) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal -1/6 binary64)) (-.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))) x) | |
| ✓ | 66.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
| 63.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) | |
| 62.4% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x))))) x) | |
| 12.1% | (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x) | |
| 8.7% | (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) | |
| ▶ | 28.1% | (/.f64 (*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y))))) x) |
| ▶ | 11.6% | (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
| 8.4% | (/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) | |
| ▶ | 82.5% | (/.f64 (exp.f64 (neg.f64 y)) x) |
| 58.2% | (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) | |
| 66.2% | (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))))) | |
| ✓ | 74.3% | (/.f64 #s(literal 1 binary64) x) |
| ▶ | 58.2% | (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
| ▶ | 66.2% | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))) |
| 11.6% | (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x)) |
Compiled 800 to 507 computations (36.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 384 | (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)))) |
| ✓ | cost-diff | 640 | (*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y))))) |
| ✓ | cost-diff | 640 | (/.f64 (*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y))))) x) |
| ✓ | cost-diff | 0 | (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | -64 | (neg.f64 y) |
| ✓ | cost-diff | -64 | (exp.f64 (neg.f64 y)) |
| ✓ | cost-diff | -64 | (/.f64 (exp.f64 (neg.f64 y)) x) |
| 2312× | fma-lowering-fma.f32 |
| 2312× | fma-lowering-fma.f64 |
| 2148× | sum3-define |
| 2128× | *-lowering-*.f32 |
| 2128× | *-lowering-*.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 221 |
| 1 | 100 | 196 |
| 2 | 323 | 196 |
| 3 | 975 | 193 |
| 4 | 2824 | 191 |
| 5 | 6211 | 191 |
| 0 | 8558 | 191 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (neg y)) x) |
(exp (neg y)) |
(neg y) |
y |
x |
(* (/ 1 x) (- 1 y)) |
(/ 1 x) |
1 |
x |
(- 1 y) |
y |
(/ (* y (* y (* y -1/6))) x) |
(* y (* y (* y -1/6))) |
y |
(* y (* y -1/6)) |
(* y -1/6) |
-1/6 |
x |
(* (/ 1 x) (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6))))))) |
(/ 1 x) |
1 |
x |
(+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) |
(* y (+ -1 (* y (+ 1/2 (* y -1/6))))) |
y |
(+ -1 (* y (+ 1/2 (* y -1/6)))) |
-1 |
(* y (+ 1/2 (* y -1/6))) |
(+ 1/2 (* y -1/6)) |
1/2 |
(* y -1/6) |
-1/6 |
(/ (* y (* (* y y) (+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y))))) x) |
(* y (* (* y y) (+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y))))) |
y |
(* (* y y) (+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y)))) |
(* y y) |
(+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y))) |
(/ 1 (* y (* y y))) |
1 |
(* y (* y y)) |
(+ -1/6 (/ (+ 1/2 (/ -1 y)) y)) |
-1/6 |
(/ (+ 1/2 (/ -1 y)) y) |
(+ 1/2 (/ -1 y)) |
1/2 |
(/ -1 y) |
-1 |
x |
| Outputs |
|---|
(/ (exp (neg y)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x) |
(exp (neg y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(neg y) |
(-.f64 #s(literal 0 binary64) y) |
y |
x |
(* (/ 1 x) (- 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
y |
(/ (* y (* y (* y -1/6))) x) |
(/.f64 (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) x) |
(* y (* y (* y -1/6))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
y |
(* y (* y -1/6)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
(* y -1/6) |
(*.f64 y #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
x |
(* (/ 1 x) (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))) |
(* y (+ -1 (* y (+ 1/2 (* y -1/6))))) |
(*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) |
y |
(+ -1 (* y (+ 1/2 (* y -1/6)))) |
(+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) |
-1 |
#s(literal -1 binary64) |
(* y (+ 1/2 (* y -1/6))) |
(*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) |
(+ 1/2 (* y -1/6)) |
(+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* y -1/6) |
(*.f64 y #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(/ (* y (* (* y y) (+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))) x) |
(* y (* (* y y) (+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y))))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))) |
y |
(* (* y y) (+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))) y) |
(* y y) |
(*.f64 y y) |
(+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y))) |
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
(/ 1 (* y (* y y))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
1 |
#s(literal 1 binary64) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
(+ -1/6 (/ (+ 1/2 (/ -1 y)) y)) |
(+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)) |
-1/6 |
#s(literal -1/6 binary64) |
(/ (+ 1/2 (/ -1 y)) y) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
(+ 1/2 (/ -1 y)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) |
1/2 |
#s(literal 1/2 binary64) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
-1 |
#s(literal -1 binary64) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
| ✓ | accuracy | 93.7% | (/.f64 (*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y))))) x) |
| ✓ | accuracy | 87.5% | (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
| ✓ | accuracy | 63.0% | (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)))) |
| ✓ | accuracy | 99.9% | (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) |
| ✓ | accuracy | 99.5% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 93.7% | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 91.0% | (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 y)) |
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 (neg.f64 y)) x) |
| 132.0ms | 256× | 0 | valid |
Compiled 263 to 34 computations (87.1% saved)
ival-mult: 19.0ms (38.6% of total)ival-div: 13.0ms (26.4% of total)ival-add: 7.0ms (14.2% of total)...c/correct-round.rkt:119:19: 4.0ms (8.1% of total)ival-exp: 2.0ms (4.1% of total)ival-sub: 2.0ms (4.1% of total)ival-neg: 2.0ms (4.1% of total)const: 1.0ms (2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (exp (neg y)) x)> |
#<alt (exp (neg y))> |
#<alt (neg y)> |
#<alt (* (/ 1 x) (- 1 y))> |
#<alt (/ 1 x)> |
#<alt (- 1 y)> |
#<alt (/ (* y (* y (* y -1/6))) x)> |
#<alt (* y (* y (* y -1/6)))> |
#<alt (* y (* y -1/6))> |
#<alt (* y -1/6)> |
#<alt (* (/ 1 x) (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))))> |
#<alt (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6))))))> |
#<alt (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))> |
#<alt (/ (* y (* (* y y) (+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y))))) x)> |
#<alt (* y (* (* y y) (+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y)))))> |
#<alt (* (* y y) (+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y))))> |
#<alt (* y y)> |
#<alt (* y (+ 1/2 (* y -1/6)))> |
#<alt (+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y)))> |
#<alt (/ 1 (* y (* y y)))> |
| Outputs |
|---|
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (exp (* -1 y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt (/ (exp (neg y)) x)> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* 1/2 y) 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))> |
#<alt (exp (neg y))> |
#<alt (exp (neg y))> |
#<alt (exp (neg y))> |
#<alt (exp (neg y))> |
#<alt (exp (* -1 y))> |
#<alt (exp (* -1 y))> |
#<alt (exp (* -1 y))> |
#<alt (exp (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ (- 1 y) x)> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (* -1 (/ y x))> |
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))> |
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))> |
#<alt (* y (- (/ 1 (* x y)) (/ 1 x)))> |
#<alt (* -1 (/ y x))> |
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))> |
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))> |
#<alt (* -1 (* y (- (/ 1 x) (/ 1 (* x y)))))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x)> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))> |
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* 1/2 y) 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))> |
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))> |
#<alt (* -1 y)> |
#<alt (* y (- (* 1/2 y) 1))> |
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))> |
#<alt (* y (- (* y (+ 1/2 (* -1/6 y))) 1))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))> |
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))> |
#<alt (/ 1 x)> |
#<alt (+ (* -1 (/ y x)) (/ 1 x))> |
#<alt (+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))> |
#<alt (* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))))> |
#<alt (* -1/6 (/ (pow y 3) x))> |
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x)))))> |
#<alt (/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x)> |
#<alt (/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x)> |
#<alt (/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x)> |
#<alt (/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x)> |
#<alt (/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x)> |
#<alt (/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x)> |
#<alt (/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x)> |
#<alt (/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x)> |
#<alt (/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x)> |
#<alt (/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x)> |
#<alt (/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x)> |
#<alt (/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x)> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- (* 1/2 y) 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1)))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6))> |
#<alt (* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y)))))> |
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* -1 y)) y)> |
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) y)> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) y)> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))> |
#<alt (* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6))> |
#<alt (* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1/2) y)) 1/6))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (* 1/2 y)> |
#<alt (* y (+ 1/2 (* -1/6 y)))> |
#<alt (* y (+ 1/2 (* -1/6 y)))> |
#<alt (* y (+ 1/2 (* -1/6 y)))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))> |
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6))> |
#<alt (/ 1 (pow y 3))> |
#<alt (/ (+ 1 (* -1 y)) (pow y 3))> |
#<alt (/ (+ 1 (* y (- (* 1/2 y) 1))) (pow y 3))> |
#<alt (/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) (pow y 3))> |
#<alt -1/6> |
#<alt (- (* 1/2 (/ 1 y)) 1/6)> |
#<alt (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt -1/6> |
#<alt (- (* 1/2 (/ 1 y)) 1/6)> |
#<alt (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6)> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1/2) y)) 1/6)> |
#<alt (/ 1 (pow y 3))> |
#<alt (/ 1 (pow y 3))> |
#<alt (/ 1 (pow y 3))> |
#<alt (/ 1 (pow y 3))> |
#<alt (/ 1 (pow y 3))> |
#<alt (/ 1 (pow y 3))> |
#<alt (/ 1 (pow y 3))> |
#<alt (/ 1 (pow y 3))> |
#<alt (/ 1 (pow y 3))> |
#<alt (/ 1 (pow y 3))> |
#<alt (/ 1 (pow y 3))> |
#<alt (/ 1 (pow y 3))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | inf | (/ (* y (* (* y y) (+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y))))) x) |
| 2.0ms | x | @ | 0 | (/ (* y (* (* y y) (+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y))))) x) |
| 1.0ms | x | @ | 0 | (/ (* y (* y (* y -1/6))) x) |
| 1.0ms | y | @ | 0 | (/ (* y (* y (* y -1/6))) x) |
| 1.0ms | x | @ | inf | (/ (* y (* y (* y -1/6))) x) |
| 1× | batch-egg-rewrite |
| 4950× | *-lowering-*.f32 |
| 4950× | *-lowering-*.f64 |
| 2690× | /-lowering-/.f32 |
| 2690× | /-lowering-/.f64 |
| 2424× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 164 |
| 1 | 221 | 142 |
| 2 | 2213 | 137 |
| 0 | 8729 | 137 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (neg y)) x) |
(exp (neg y)) |
(neg y) |
(* (/ 1 x) (- 1 y)) |
(/ 1 x) |
(- 1 y) |
(/ (* y (* y (* y -1/6))) x) |
(* y (* y (* y -1/6))) |
(* y (* y -1/6)) |
(* y -1/6) |
(* (/ 1 x) (+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6))))))) |
(+ 1 (* y (+ -1 (* y (+ 1/2 (* y -1/6)))))) |
(* y (+ -1 (* y (+ 1/2 (* y -1/6))))) |
(/ (* y (* (* y y) (+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y))))) x) |
(* y (* (* y y) (+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y))))) |
(* (* y y) (+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y)))) |
(* y y) |
(* y (+ 1/2 (* y -1/6))) |
(+ (/ 1 (* y (* y y))) (+ -1/6 (/ (+ 1/2 (/ -1 y)) y))) |
(/ 1 (* y (* y y))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 x (exp.f64 y))) #s(literal -1 binary64))) |
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) y)) |
(neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) x)) |
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 y) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (exp.f64 y)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (*.f64 x (exp.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (exp.f64 y) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (exp.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 y)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 y))) |
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 y) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) y) |
(pow.f64 (/.f64 (exp.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) y) |
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) y))) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) |
(-.f64 #s(literal 0 binary64) y) |
(neg.f64 y) |
(/.f64 y #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal 1 binary64)))) x)) |
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(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (*.f64 y (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y)))))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) y) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) y)) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))) y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))) y))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) y)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) y))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) y) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) y)) |
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) y) #s(literal -1/6 binary64)) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) y) #s(literal -1/6 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (-.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))) y) #s(literal -1/6 binary64)))) |
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) y) |
(/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) #s(literal 3 binary64)) (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 3 binary64)) (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(pow.f64 y #s(literal -3 binary64)) |
(pow.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) |
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 2970× | *-lowering-*.f32 |
| 2970× | *-lowering-*.f64 |
| 1642× | fnmadd-define |
| 1618× | fma-lowering-fma.f32 |
| 1618× | fma-lowering-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 2250 |
| 1 | 438 | 2040 |
| 2 | 1438 | 2030 |
| 3 | 4728 | 1997 |
| 0 | 8088 | 1997 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x)) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (* -1 y)) x) |
(/ (exp (* -1 y)) x) |
(/ (exp (* -1 y)) x) |
(/ (exp (* -1 y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
(/ (exp (neg y)) x) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(exp (neg y)) |
(exp (neg y)) |
(exp (neg y)) |
(exp (neg y)) |
(exp (* -1 y)) |
(exp (* -1 y)) |
(exp (* -1 y)) |
(exp (* -1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ (- 1 y) x) |
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(* -1 (/ y x)) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(* -1 (/ y x)) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (/ (pow y 3) x)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 3)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) x) |
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x)) |
(* -1/6 (/ (pow y 3) x)) |
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x)))) |
(* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))) |
(* -1/6 (/ (pow y 3) x)) |
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x))))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y))))) |
(* -1 y) |
(* y (- (* 1/2 y) 1)) |
(* y (- (* y (+ 1/2 (* -1/6 y))) 1)) |
(* y (- (* y (+ 1/2 (* -1/6 y))) 1)) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2))))) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y))))) |
(/ 1 x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x)) |
(* -1/6 (/ (pow y 3) x)) |
(* (pow y 3) (- (* 1/2 (/ 1 (* x y))) (* 1/6 (/ 1 x)))) |
(* (pow y 3) (- (/ 1/2 (* x y)) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))) |
(* (pow y 3) (- (+ (/ 1/2 (* x y)) (/ 1 (* x (pow y 3)))) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))) |
(* -1/6 (/ (pow y 3) x)) |
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 x)) (* 1/2 (/ 1 (* x y)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (/ 1 (* x y))) y)) (* 1/6 (/ 1 x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (* 1/2 (/ 1 x))) y)) (* 1/6 (/ 1 x))))) |
(/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x) |
(/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x) |
(/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x) |
(/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x) |
(/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x) |
(/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x) |
(/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x) |
(/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x) |
(/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x) |
(/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x) |
(/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x) |
(/ (* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) x) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y))))) |
(/ 1 y) |
(/ (+ 1 (* -1 y)) y) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) y) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1/2) y)) 1/6)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/6 y))) |
(* y (+ 1/2 (* -1/6 y))) |
(* y (+ 1/2 (* -1/6 y))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(/ 1 (pow y 3)) |
(/ (+ 1 (* -1 y)) (pow y 3)) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) (pow y 3)) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) (pow y 3)) |
-1/6 |
(- (* 1/2 (/ 1 y)) 1/6) |
(- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))) |
(- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))) |
-1/6 |
(- (* 1/2 (/ 1 y)) 1/6) |
(- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1/2) y)) 1/6) |
(/ 1 (pow y 3)) |
(/ 1 (pow y 3)) |
(/ 1 (pow y 3)) |
(/ 1 (pow y 3)) |
(/ 1 (pow y 3)) |
(/ 1 (pow y 3)) |
(/ 1 (pow y 3)) |
(/ 1 (pow y 3)) |
(/ 1 (pow y 3)) |
(/ 1 (pow y 3)) |
(/ 1 (pow y 3)) |
(/ 1 (pow y 3)) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* y (- (* 1/2 (/ y x)) (/ 1 x))) (/ 1 x)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(+ (* y (- (* y (+ (* -1/6 (/ y x)) (* 1/2 (/ 1 x)))) (/ 1 x))) (/ 1 x)) |
(+.f64 (*.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (* -1 y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (* -1 y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (* -1 y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (* -1 y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
(/ (exp (neg y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- (* 1/2 y) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) |
(+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) |
(exp (neg y)) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
(exp (neg y)) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
(exp (neg y)) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
(exp (neg y)) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
(exp (* -1 y)) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
(exp (* -1 y)) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
(exp (* -1 y)) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
(exp (* -1 y)) |
(exp.f64 (-.f64 #s(literal 0 binary64) y)) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (- 1 y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* -1 (/ y x)) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (/ y x)) |
(-.f64 #s(literal 0 binary64) (/.f64 y x)) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* y (- (/ 1 (* x y)) (/ 1 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (/ y x)) |
(-.f64 #s(literal 0 binary64) (/.f64 y x)) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* y (- (/ 1 x) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) x) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1/6 (pow y 3)) |
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(* (pow y 3) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2))))) |
(*.f64 y (*.f64 y (*.f64 y (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y))))) |
(* (pow y 3) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) |
(*.f64 y (*.f64 y (*.f64 y (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) y)))))) |
(* -1/6 (pow y 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) |
(* -1 (* (pow y 3) (- 1/6 (* 1/2 (/ 1 y))))) |
(*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 y)) y))))) |
(*.f64 y (*.f64 y (*.f64 y (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 y)) y))) y))))) |
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* -1 y)) y) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) y) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) y) |
(* -1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2))))) |
(*.f64 y (*.f64 y (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y)))) |
(* (pow y 2) (- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2))))) |
(*.f64 y (*.f64 y (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))))) |
(* -1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6)) |
(*.f64 y (*.f64 y (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y)))) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1/2) y)) 1/6)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* y (+ 1/2 (* -1/6 y))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(* y (+ 1/2 (* -1/6 y))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(* y (+ 1/2 (* -1/6 y))) |
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(* -1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/6)) |
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(/ 1 (pow y 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
(/ (+ 1 (* -1 y)) (pow y 3)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y)) |
(/ (+ 1 (* y (- (* 1/2 y) 1))) (pow y 3)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) (*.f64 y (*.f64 y y))) |
(/ (+ 1 (* y (- (* y (+ 1/2 (* -1/6 y))) 1))) (pow y 3)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) (*.f64 y (*.f64 y y))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/2 (/ 1 y)) 1/6) |
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(- (* 1/2 (/ 1 y)) (+ 1/6 (/ 1 (pow y 2)))) |
(-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y)) |
(- (+ (* 1/2 (/ 1 y)) (/ 1 (pow y 3))) (+ 1/6 (/ 1 (pow y 2)))) |
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/2 (/ 1 y)) 1/6) |
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(- (* -1 (/ (- (/ 1 y) 1/2) y)) 1/6) |
(-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y)) |
(- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1/2) y)) 1/6) |
(+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)) |
(/ 1 (pow y 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
(/ 1 (pow y 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
(/ 1 (pow y 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
(/ 1 (pow y 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
(/ 1 (pow y 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
(/ 1 (pow y 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
(/ 1 (pow y 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
(/ 1 (pow y 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
(/ 1 (pow y 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
(/ 1 (pow y 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
(/ 1 (pow y 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
(/ 1 (pow y 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
Compiled 32110 to 3049 computations (90.5% saved)
28 alts after pruning (21 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 987 | 7 | 994 |
| Fresh | 2 | 14 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 992 | 28 | 1020 |
| Status | Accuracy | Program |
|---|---|---|
| 44.7% | (/.f64 (pow.f64 (pow.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x) | |
| ✓ | 44.7% | (/.f64 (pow.f64 (/.f64 x y) x) x) |
| 59.4% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) #s(literal 1 binary64))) x) | |
| 68.2% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))))) x) | |
| 66.8% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x) | |
| 63.8% | (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) | |
| ✓ | 82.5% | (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x) |
| ✓ | 58.2% | (/.f64 (-.f64 #s(literal 1 binary64) y) x) |
| 61.9% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) y) (-.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) | |
| 66.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))))) x) | |
| 61.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) y) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal -1/6 binary64)) (-.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))) x) | |
| ✓ | 66.2% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
| 63.5% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) | |
| 62.4% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x))))) x) | |
| 35.4% | (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) (*.f64 y y)) x) | |
| 12.1% | (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) x) | |
| 8.7% | (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) | |
| 28.9% | (/.f64 (*.f64 y (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) x) | |
| 8.4% | (/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) | |
| ✓ | 82.5% | (/.f64 (exp.f64 (neg.f64 y)) x) |
| 58.2% | (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) | |
| ✓ | 74.3% | (/.f64 #s(literal 1 binary64) x) |
| 66.2% | (+.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1 binary64) x)) | |
| ✓ | 58.2% | (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
| 66.2% | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))))) | |
| 9.1% | (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 y x)) | |
| 9.1% | (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 y (/.f64 #s(literal 1 binary64) x))) | |
| 11.6% | (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x)) |
Compiled 1396 to 576 computations (58.7% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 y x)) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))) |
(+.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x))))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) (*.f64 y y)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))))) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y))))) x) |
(*.f64 (*.f64 y y) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 x y))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) y) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal -1/6 binary64)) (-.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 (*.f64 x y) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x x))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) y) (-.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y)))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) #s(literal 1 binary64))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64))) y) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64)))))))) x) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))))) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x) |
(/.f64 (pow.f64 (/.f64 x y) x) x) |
(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x) |
(/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
(/.f64 (pow.f64 (pow.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x) |
(/.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) (/.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) x) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
3 calls:
| 29.0ms | x |
| 16.0ms | y |
| 13.0ms | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | x |
| 86.1% | 2 | y |
| 94.7% | 3 | (/.f64 (exp.f64 (*.f64 x (log.f64 (/.f64 x (+.f64 x y))))) x) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 y x)) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))) |
(+.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x))))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) (*.f64 y y)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))))) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y))))) x) |
(*.f64 (*.f64 y y) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 x y))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) y) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal -1/6 binary64)) (-.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 (*.f64 x y) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x x))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) y) (-.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y)))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) #s(literal 1 binary64))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64))) y) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64)))))))) x) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))))) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x) |
| Outputs |
|---|
(/.f64 (exp.f64 (neg.f64 y)) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (exp.f64 (neg.f64 y)) x) |
1 calls:
| 28.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 y x)) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))) |
(+.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x))))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y)) y)) (*.f64 y y)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 y y))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64))))))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y))))))) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) y))))) x) |
(*.f64 (*.f64 y y) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 x y))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))))))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) y) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 y #s(literal -1/6 binary64)) (-.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 (*.f64 x y) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x x))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) y) (-.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 y x)))) (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 (-.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y)))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))) #s(literal 1 binary64))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64))) y) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1/6 binary64)))))))) x) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))))) x) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))))) x) |
1 calls:
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.8% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 y x)) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))) |
(+.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x))))) x) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x) |
2 calls:
| 8.0ms | x |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 3 | y |
| 86.3% | 3 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 y x)) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))))))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.3% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 y x)) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x) |
(/.f64 (*.f64 y (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) x) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.0% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 y x)) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 y (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) x) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) y))) x) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 y x)) |
(/.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (*.f64 y (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
Total -10.6b remaining (-64.7%)
Threshold costs -10.6b (-64.7%)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) x) |
2 calls:
| 4.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.3% | 1 | y |
| 74.3% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 2.8603407101020104e-5 | 0.1204021037899907 |
| 22.0ms | -151383851.21078578 | -0.32327386313855994 |
| 25.0ms | 272× | 0 | valid |
| 6.0ms | 77× | 0 | invalid |
Compiled 265 to 208 computations (21.5% saved)
ival-div: 5.0ms (27.7% of total)ival-log: 5.0ms (27.7% of total)ival-exp: 3.0ms (16.6% of total)ival-add: 2.0ms (11.1% of total)ival-mult: 2.0ms (11.1% 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 |
|---|---|---|
| 21.0ms | 2.8603407101020104e-5 | 0.1204021037899907 |
| 25.0ms | -151383851.21078578 | -0.32327386313855994 |
| 28.0ms | 272× | 0 | valid |
| 5.0ms | 70× | 0 | invalid |
Compiled 256 to 199 computations (22.3% saved)
ival-div: 5.0ms (28.6% of total)ival-log: 5.0ms (28.6% of total)ival-exp: 3.0ms (17.2% of total)ival-add: 2.0ms (11.4% of total)ival-mult: 2.0ms (11.4% 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 |
|---|---|---|
| 19.0ms | 2.8603407101020104e-5 | 0.1204021037899907 |
| 25.0ms | -151383851.21078578 | -0.32327386313855994 |
| 24.0ms | 272× | 0 | valid |
| 5.0ms | 71× | 0 | invalid |
Compiled 460 to 344 computations (25.2% saved)
ival-div: 5.0ms (28.7% of total)ival-log: 5.0ms (28.7% of total)ival-exp: 3.0ms (17.2% of total)ival-add: 2.0ms (11.5% of total)ival-mult: 2.0ms (11.5% 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 |
|---|---|---|
| 19.0ms | 2.8603407101020104e-5 | 0.1204021037899907 |
| 27.0ms | -151383851.21078578 | -0.32327386313855994 |
| 24.0ms | 272× | 0 | valid |
| 6.0ms | 76× | 0 | invalid |
Compiled 428 to 320 computations (25.2% saved)
ival-div: 5.0ms (27.9% of total)ival-log: 5.0ms (27.9% of total)ival-exp: 3.0ms (16.8% of total)ival-add: 2.0ms (11.2% of total)ival-mult: 2.0ms (11.2% 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 |
|---|---|---|
| 18.0ms | 2.8603407101020104e-5 | 0.1204021037899907 |
| 22.0ms | -151383851.21078578 | -0.32327386313855994 |
| 25.0ms | 272× | 0 | valid |
| 4.0ms | 59× | 0 | invalid |
Compiled 410 to 311 computations (24.1% saved)
ival-div: 5.0ms (29.3% of total)ival-log: 5.0ms (29.3% of total)ival-add: 2.0ms (11.7% of total)ival-exp: 2.0ms (11.7% of total)ival-mult: 2.0ms (11.7% 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 |
|---|---|---|
| 24.0ms | 2.8603407101020104e-5 | 0.1204021037899907 |
| 30.0ms | -151383851.21078578 | -0.32327386313855994 |
| 31.0ms | 272× | 0 | valid |
| 11.0ms | 93× | 0 | invalid |
Compiled 374 to 284 computations (24.1% saved)
ival-mult: 10.0ms (38.3% of total)ival-div: 6.0ms (23% of total)ival-log: 5.0ms (19.1% of total)ival-exp: 3.0ms (11.5% of total)ival-add: 2.0ms (7.7% 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 |
|---|---|---|
| 23.0ms | 2.8603407101020104e-5 | 0.1204021037899907 |
| 24.0ms | -151383851.21078578 | -0.32327386313855994 |
| 28.0ms | 272× | 0 | valid |
| 7.0ms | 93× | 0 | invalid |
Compiled 326 to 252 computations (22.7% saved)
ival-div: 6.0ms (32% of total)ival-log: 5.0ms (26.6% of total)ival-exp: 3.0ms (16% of total)ival-add: 2.0ms (10.7% of total)ival-mult: 2.0ms (10.7% 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 |
|---|---|---|
| 21.0ms | 2.8603407101020104e-5 | 0.1204021037899907 |
| 31.0ms | -1.0778992501450646e+77 | -1.9511721310452062e+75 |
| 22.0ms | 78× | 1 | valid |
| 17.0ms | 162× | 0 | valid |
| 4.0ms | 48× | 0 | invalid |
Compiled 258 to 192 computations (25.6% saved)
ival-log: 10.0ms (32.8% of total)ival-div: 9.0ms (29.5% of total)ival-exp: 5.0ms (16.4% of total)ival-add: 3.0ms (9.8% of total)ival-mult: 3.0ms (9.8% of total)backward-pass: 1.0ms (3.3% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 28× | +-commutative_binary64 |
| 22× | *-commutative_binary64 |
| 4× | if-if-or-not_binary32 |
| 2× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 250 |
| 1 | 125 | 250 |
| 2 | 127 | 250 |
| 3 | 128 | 250 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x) (if (<=.f64 x #s(literal 1080863910568919/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x))) |
(if (<=.f64 x #s(literal -1170935903116329/2251799813685248 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 1080863910568919/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x))) |
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (+.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 3422735716801577/36028797018963968 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))))) x))) |
(if (<=.f64 x #s(literal -7566047373982433/18014398509481984 binary64)) (+.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x))) |
(if (<=.f64 x #s(literal -2476979795053773/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) (if (<=.f64 x #s(literal 1261007895663739/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x))) |
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) (if (<=.f64 x #s(literal 1080863910568919/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x))) |
(if (<=.f64 x #s(literal -3602879701896397/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) (if (<=.f64 x #s(literal 8286623314361713/72057594037927936 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x))) |
(if (<=.f64 x #s(literal -16999999999999998550309024467806597256904393115745628768189614913417054781440 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) (if (<=.f64 x #s(literal 3170534137668829/72057594037927936 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x))) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x) (if (<=.f64 x #s(literal 1080863910568919/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x))) |
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) x) (if (<=.f64 x #s(literal 1080863910568919/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x))) |
(if (<=.f64 x #s(literal -1170935903116329/2251799813685248 binary64)) (/.f64 (exp.f64 (neg.f64 y)) x) (if (<=.f64 x #s(literal 1080863910568919/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (neg.f64 y)) x))) |
(if (<=.f64 x #s(literal -1170935903116329/2251799813685248 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x) (if (<=.f64 x #s(literal 1080863910568919/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) y)) x))) |
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (+.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 3422735716801577/36028797018963968 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))))) x))) |
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x)) (if (<=.f64 x #s(literal 3422735716801577/36028797018963968 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 1/6 binary64)))))))) x))) |
(if (<=.f64 x #s(literal -7566047373982433/18014398509481984 binary64)) (+.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x))) |
(if (<=.f64 x #s(literal -7566047373982433/18014398509481984 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) x)) (if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x))) |
(if (<=.f64 x #s(literal -2476979795053773/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/6 binary64))))))) x) (if (<=.f64 x #s(literal 1261007895663739/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x))) |
(if (<=.f64 x #s(literal -2476979795053773/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))) x) (if (<=.f64 x #s(literal 1261007895663739/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x))) |
(if (<=.f64 x #s(literal -3/4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) (if (<=.f64 x #s(literal 1080863910568919/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))))) x))) |
(if (<=.f64 x #s(literal -3602879701896397/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))) x) (if (<=.f64 x #s(literal 8286623314361713/72057594037927936 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x))) |
(if (<=.f64 x #s(literal -16999999999999998550309024467806597256904393115745628768189614913417054781440 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x) (if (<=.f64 x #s(literal 3170534137668829/72057594037927936 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) x))) |
(/.f64 #s(literal 1 binary64) x) |
| 4950× | *-lowering-*.f32 |
| 4950× | *-lowering-*.f64 |
| 4686× | *-lowering-*.f32 |
| 4686× | *-lowering-*.f64 |
| 4296× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 400 | 7280 |
| 1 | 1331 | 6327 |
| 2 | 5117 | 6252 |
| 0 | 8175 | 6252 |
| 0 | 47 | 467 |
| 1 | 371 | 432 |
| 2 | 4355 | 423 |
| 0 | 8205 | 423 |
| 0 | 389 | 5160 |
| 1 | 1272 | 4574 |
| 2 | 4761 | 4463 |
| 0 | 8153 | 4463 |
| 0 | 33 | 164 |
| 1 | 221 | 142 |
| 2 | 2213 | 137 |
| 0 | 8729 | 137 |
| 0 | 404 | 2185 |
| 1 | 1351 | 1753 |
| 2 | 4969 | 1706 |
| 0 | 8060 | 1706 |
| 0 | 8 | 11 |
| 1 | 12 | 9 |
| 2 | 15 | 9 |
| 3 | 15 | 9 |
| 0 | 15 | 9 |
| 0 | 33 | 218 |
| 1 | 245 | 200 |
| 2 | 2595 | 195 |
| 0 | 8481 | 195 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 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 980 to 568 computations (42% saved)
Compiled 648 to 234 computations (63.9% saved)
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