
Time bar (total: 7.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 14 to 11 computations (21.4% saved)
ival-sub: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)...c/correct-round.rkt:119:19: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 754.0ms | 8256× | 0 | valid |
...c/correct-round.rkt:119:19: 166.0ms (33.4% of total)ival-sub: 141.0ms (28.4% of total)ival-mult: 131.0ms (26.4% of total)ival-add: 42.0ms (8.5% of total)const: 13.0ms (2.6% of total)backward-pass: 3.0ms (0.6% of total)| 2× | egg-herbie |
| 3736× | sum3-define |
| 2654× | sum3-define |
| 2014× | fnmadd-define |
| 2002× | fnmsub-define |
| 1768× | sum4-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 68 |
| 1 | 92 | 58 |
| 2 | 278 | 56 |
| 3 | 958 | 54 |
| 4 | 4132 | 50 |
| 5 | 6472 | 50 |
| 6 | 6998 | 50 |
| 7 | 7135 | 50 |
| 8 | 7161 | 50 |
| 9 | 7165 | 50 |
| 0 | 10 | 10 |
| 1 | 27 | 9 |
| 2 | 69 | 9 |
| 3 | 159 | 9 |
| 4 | 345 | 8 |
| 5 | 890 | 8 |
| 6 | 2558 | 8 |
| 7 | 4680 | 8 |
| 8 | 7422 | 8 |
| 0 | 8011 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
| Outputs |
|---|
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| Inputs |
|---|
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000) |
(neg (+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)) |
(neg (+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000)) |
(+ (- (* y (- x 1)) (* x 1/2)) 918938533204673/1000000000000000) |
| Outputs |
|---|
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(+ (fnmsub y (- 1/2 x) x) 918938533204673/1000000000000000) |
(+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(sum3 x 918938533204673/1000000000000000 (* y (- -1/2 x))) |
(+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000) |
(+ 918938533204673/1000000000000000 (fnmsub y (+ x -1/2) x)) |
(neg (+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)) |
(+ -918938533204673/1000000000000000 (- (* y (+ x 1/2)) x)) |
(neg (+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000)) |
(- -918938533204673/1000000000000000 (fnmsub y (+ x -1/2) x)) |
(+ (- (* y (- x 1)) (* x 1/2)) 918938533204673/1000000000000000) |
(- 918938533204673/1000000000000000 (+ y (* x (- 1/2 y)))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (-.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 918938533204673/1000000000000000 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 y #s(literal 1 binary64)) |
| 56.0ms | 512× | 0 | valid |
Compiled 91 to 32 computations (64.8% saved)
...c/correct-round.rkt:119:19: 10.0ms (37.6% of total)ival-mult: 7.0ms (26.3% of total)ival-sub: 6.0ms (22.6% of total)ival-add: 3.0ms (11.3% of total)const: 1.0ms (3.8% of total)backward-pass: 0.0ms (0% of total)Compiled 11 to 8 computations (27.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| ▶ | 100.0% | (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
Compiled 24 to 18 computations (25% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (-.f64 y #s(literal 1 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| 2672× | sum3-define |
| 2200× | fnmadd-define |
| 1816× | sum4-define |
| 1612× | fnmsub-define |
| 1576× | fmsub-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 55 |
| 1 | 46 | 55 |
| 2 | 125 | 55 |
| 3 | 286 | 52 |
| 4 | 783 | 52 |
| 5 | 2119 | 52 |
| 6 | 4676 | 52 |
| 7 | 7363 | 52 |
| 8 | 7946 | 52 |
| 0 | 8023 | 52 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x)) |
(* y (+ x -1/2)) |
y |
(+ x -1/2) |
x |
-1/2 |
(- 918938533204673/1000000000000000 x) |
918938533204673/1000000000000000 |
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(- (* x (- y 1)) (* y 1/2)) |
(* x (- y 1)) |
x |
(- y 1) |
y |
1 |
(* y 1/2) |
1/2 |
918938533204673/1000000000000000 |
| Outputs |
|---|
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x)) |
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(* y (+ x -1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
y |
(+ x -1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(- (* x (- y 1)) (* y 1/2)) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
x |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
y |
1 |
#s(literal 1 binary64) |
(* y 1/2) |
(*.f64 y #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 y #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
| 42.0ms | 256× | 0 | valid |
Compiled 63 to 16 computations (74.6% saved)
ival-mult: 5.0ms (26.6% of total)...c/correct-round.rkt:119:19: 5.0ms (26.6% of total)ival-sub: 4.0ms (21.3% of total)ival-add: 4.0ms (21.3% of total)const: 1.0ms (5.3% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))> |
#<alt (* y (+ x -1/2))> |
#<alt (+ x -1/2)> |
#<alt (- 918938533204673/1000000000000000 x)> |
#<alt (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)> |
#<alt (- (* x (- y 1)) (* y 1/2))> |
#<alt (* x (- y 1))> |
#<alt (- y 1)> |
#<alt (* y 1/2)> |
| Outputs |
|---|
#<alt (- 918938533204673/1000000000000000 x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))> |
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))> |
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))> |
#<alt (* y (- x 1/2))> |
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))> |
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))> |
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt -1/2> |
#<alt (- x 1/2)> |
#<alt (- x 1/2)> |
#<alt (- x 1/2)> |
#<alt x> |
#<alt (* x (- 1 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/2 (/ 1 x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))> |
#<alt 918938533204673/1000000000000000> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))> |
#<alt (* -1/2 y)> |
#<alt (- (* x (- y 1)) (* 1/2 y))> |
#<alt (- (* x (- y 1)) (* 1/2 y))> |
#<alt (- (* x (- y 1)) (* 1/2 y))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))> |
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))> |
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* y (- x 1/2)))> |
#<alt (+ (* -1 x) (* y (- x 1/2)))> |
#<alt (+ (* -1 x) (* y (- x 1/2)))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))> |
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))> |
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))> |
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* x y))> |
#<alt (+ (* -1 x) (* x y))> |
#<alt (+ (* -1 x) (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt -1> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt y> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
#<alt (* 1/2 y)> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
| 1.0ms | y | @ | inf | (+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x)) |
| 1.0ms | x | @ | 0 | (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
| 0.0ms | x | @ | 0 | (+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x)) |
| 0.0ms | x | @ | -inf | (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
| 1× | batch-egg-rewrite |
| 3566× | /-lowering-/.f32 |
| 3566× | /-lowering-/.f64 |
| 3030× | *-lowering-*.f32 |
| 3030× | *-lowering-*.f64 |
| 2350× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 48 |
| 1 | 126 | 47 |
| 2 | 1121 | 47 |
| 0 | 8582 | 47 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x)) |
(* y (+ x -1/2)) |
(+ x -1/2) |
(- 918938533204673/1000000000000000 x) |
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) |
(- (* x (- y 1)) (* y 1/2)) |
(* x (- y 1)) |
(- y 1) |
(* y 1/2) |
| Outputs |
|---|
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (-.f64 x (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) |
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)) x)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)) x)))) |
(+.f64 (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y x)) (*.f64 y #s(literal -1/2 binary64))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 x (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) |
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x) |
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)) x)) (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)) x))) |
(-.f64 (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y x)) (*.f64 y #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (/.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)) (/.f64 (*.f64 x x) (+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x))) |
(fma.f64 y x (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(fma.f64 x y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(fma.f64 (+.f64 x #s(literal -1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(fma.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (+.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x))) (-.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x) (-.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x x)))) |
(/.f64 (+.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (+.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (+.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)) x)) (+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)) x))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x x)) (+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x x)) (-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (*.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) |
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (*.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))) (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))) |
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)))) (*.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) |
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(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) (-.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))))) (-.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/2 binary64))))))) |
(*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/2 binary64))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/2 binary64)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal 1/2 binary64)))))) |
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))))) (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64)))) (-.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))))))) |
(*.f64 (-.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (*.f64 y x) (*.f64 x #s(literal -1 binary64))) |
(-.f64 (*.f64 y x) x) |
(fma.f64 y x (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 y x (*.f64 x #s(literal -1 binary64))) |
(fma.f64 x y (-.f64 #s(literal 0 binary64) x)) |
(fma.f64 x y (*.f64 x #s(literal -1 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 x (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (+.f64 (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y) (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) x))) |
(/.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 x (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) x) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) x) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 y x) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 x x)) (-.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))) (-.f64 (*.f64 y x) (*.f64 x #s(literal -1 binary64)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(*.f64 (+.f64 y #s(literal -1 binary64)) x) |
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 x (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+.f64 y #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) y) |
(+.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)))) |
(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(-.f64 y #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64)))))) |
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64)))) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) |
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64)))))) |
(*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 y #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) y) |
| 1× | egg-herbie |
| 2214× | fma-lowering-fma.f32 |
| 2214× | fma-lowering-fma.f64 |
| 1922× | fmsub-define |
| 1696× | *-lowering-*.f32 |
| 1696× | *-lowering-*.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 1102 |
| 1 | 422 | 1004 |
| 2 | 1379 | 953 |
| 3 | 4685 | 941 |
| 0 | 8064 | 941 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 918938533204673/1000000000000000 x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(* y (- x 1/2)) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(* y (- x 1/2)) |
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1)))) |
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1)))) |
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1)))) |
(* x (- y 1)) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* -1/2 y) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(* x y) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
-1/2 |
(- x 1/2) |
(- x 1/2) |
(- x 1/2) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(* -1 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(* y (- x 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(* -1/2 y) |
(- (* x (- y 1)) (* 1/2 y)) |
(- (* x (- y 1)) (* 1/2 y)) |
(- (* x (- y 1)) (* 1/2 y)) |
(* x (- y 1)) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(* x (- y 1)) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(* -1 x) |
(+ (* -1 x) (* y (- x 1/2))) |
(+ (* -1 x) (* y (- x 1/2))) |
(+ (* -1 x) (* y (- x 1/2))) |
(* y (- x 1/2)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* x y)) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
| Outputs |
|---|
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) |
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))) |
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))) |
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) |
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) |
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)))) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)))) |
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)))) |
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
-1/2 |
#s(literal -1/2 binary64) |
(- x 1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
(- x 1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
(- x 1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(- 918938533204673/1000000000000000 (* 1/2 y)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) |
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)))) |
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) |
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)))) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))) |
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(- (* x (- y 1)) (* 1/2 y)) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) |
(- (* x (- y 1)) (* 1/2 y)) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) |
(- (* x (- y 1)) (* 1/2 y)) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))) |
(* x (- (+ y (* -1/2 (/ y x))) 1)) |
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))) |
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) |
(*.f64 x (+.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(+ (* -1 x) (* y (- x 1/2))) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) |
(+ (* -1 x) (* y (- x 1/2))) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) |
(+ (* -1 x) (* y (- x 1/2))) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) |
(* y (- (+ x (* -1 (/ x y))) 1/2)) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) |
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) |
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(+ (* -1 x) (* x y)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(+ (* -1 x) (* x y)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(+ (* -1 x) (* x y)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
y |
(* y (- 1 (/ 1 y))) |
(+.f64 y #s(literal -1 binary64)) |
(* y (- 1 (/ 1 y))) |
(+.f64 y #s(literal -1 binary64)) |
(* y (- 1 (/ 1 y))) |
(+.f64 y #s(literal -1 binary64)) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 y #s(literal -1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 y #s(literal -1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 y #s(literal -1 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
(* 1/2 y) |
(*.f64 y #s(literal 1/2 binary64)) |
Compiled 19565 to 1821 computations (90.7% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 636 | 7 | 643 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 637 | 8 | 645 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.9% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| 71.2% | (+.f64 (-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) | |
| ✓ | 100.0% | (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ▶ | 76.0% | (+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| 73.1% | (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) | |
| ▶ | 45.7% | (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) |
| ▶ | 51.1% | (*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
| ▶ | 55.9% | (*.f64 x (+.f64 y #s(literal -1 binary64))) |
Compiled 121 to 90 computations (25.6% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 y #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| 998× | fnmadd-define |
| 782× | sum3-define |
| 748× | sum5-define |
| 660× | fmsub-define |
| 654× | fnmsub-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 52 |
| 1 | 35 | 52 |
| 2 | 60 | 52 |
| 3 | 90 | 51 |
| 4 | 146 | 51 |
| 5 | 340 | 51 |
| 6 | 915 | 51 |
| 7 | 2043 | 51 |
| 8 | 2886 | 51 |
| 9 | 3335 | 51 |
| 10 | 3427 | 51 |
| 11 | 3448 | 51 |
| 12 | 3460 | 51 |
| 13 | 3477 | 51 |
| 14 | 3491 | 51 |
| 15 | 3495 | 51 |
| 0 | 3495 | 51 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* y x) (- 918938533204673/1000000000000000 x)) |
(* y x) |
y |
x |
(- 918938533204673/1000000000000000 x) |
918938533204673/1000000000000000 |
(- 918938533204673/1000000000000000 x) |
918938533204673/1000000000000000 |
x |
(* x (+ y -1)) |
x |
(+ y -1) |
y |
-1 |
(* y (+ x -1/2)) |
y |
(+ x -1/2) |
x |
-1/2 |
(+ (* y -1/2) 918938533204673/1000000000000000) |
(* y -1/2) |
y |
-1/2 |
918938533204673/1000000000000000 |
| Outputs |
|---|
(+ (* y x) (- 918938533204673/1000000000000000 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* y x) |
(*.f64 y x) |
y |
x |
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
x |
(* x (+ y -1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
x |
(+ y -1) |
(+.f64 y #s(literal -1 binary64)) |
y |
-1 |
#s(literal -1 binary64) |
(* y (+ x -1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
y |
(+ x -1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
x |
-1/2 |
#s(literal -1/2 binary64) |
(+ (* y -1/2) 918938533204673/1000000000000000) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* y -1/2) |
(*.f64 y #s(literal -1/2 binary64)) |
y |
-1/2 |
#s(literal -1/2 binary64) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 y #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| 57.0ms | 256× | 0 | valid |
Compiled 57 to 15 computations (73.7% saved)
...c/correct-round.rkt:119:19: 21.0ms (60% of total)ival-mult: 7.0ms (20% of total)ival-add: 5.0ms (14.3% of total)ival-sub: 2.0ms (5.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* y x) (- 918938533204673/1000000000000000 x))> |
#<alt (* y x)> |
#<alt (- 918938533204673/1000000000000000 x)> |
#<alt (* x (+ y -1))> |
#<alt (+ y -1)> |
#<alt (* y (+ x -1/2))> |
#<alt (+ x -1/2)> |
#<alt (+ (* y -1/2) 918938533204673/1000000000000000)> |
#<alt (* y -1/2)> |
| Outputs |
|---|
#<alt (- 918938533204673/1000000000000000 x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* x y)) x)> |
#<alt (* x y)> |
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y)))> |
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y)))> |
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))> |
#<alt 918938533204673/1000000000000000> |
#<alt (+ 918938533204673/1000000000000000 (* x (- y 1)))> |
#<alt (+ 918938533204673/1000000000000000 (* x (- y 1)))> |
#<alt (+ 918938533204673/1000000000000000 (* x (- y 1)))> |
#<alt (* x (- y 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))> |
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<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)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt 918938533204673/1000000000000000> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* x y))> |
#<alt (+ (* -1 x) (* x y))> |
#<alt (+ (* -1 x) (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt -1> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt y> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt -1/2> |
#<alt (- x 1/2)> |
#<alt (- x 1/2)> |
#<alt (- x 1/2)> |
#<alt x> |
#<alt (* x (- 1 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/2 (/ 1 x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))> |
#<alt 918938533204673/1000000000000000> |
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))> |
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))> |
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))> |
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))> |
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))> |
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))> |
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (* y x) |
| 0.0ms | y | @ | -inf | (+ (* y x) (- 918938533204673/1000000000000000 x)) |
| 0.0ms | y | @ | 0 | (+ (* y x) (- 918938533204673/1000000000000000 x)) |
| 0.0ms | x | @ | 0 | (+ (* y x) (- 918938533204673/1000000000000000 x)) |
| 0.0ms | x | @ | -inf | (+ (* y x) (- 918938533204673/1000000000000000 x)) |
| 1× | batch-egg-rewrite |
| 4668× | *-lowering-*.f32 |
| 4668× | *-lowering-*.f64 |
| 3700× | /-lowering-/.f32 |
| 3700× | /-lowering-/.f64 |
| 2122× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 35 |
| 1 | 97 | 35 |
| 2 | 777 | 35 |
| 0 | 8757 | 35 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* y x) (- 918938533204673/1000000000000000 x)) |
(* y x) |
(- 918938533204673/1000000000000000 x) |
(* x (+ y -1)) |
(+ y -1) |
(* y (+ x -1/2)) |
(+ x -1/2) |
(+ (* y -1/2) 918938533204673/1000000000000000) |
(* y -1/2) |
| Outputs |
|---|
(+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (-.f64 x (*.f64 y x)))) |
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y x)) |
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) |
(+.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 x (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x) |
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (*.f64 y x))) |
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 y x))) |
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) |
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x (+.f64 x (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x (+.f64 x (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y x)))) (/.f64 (*.f64 x (*.f64 y (*.f64 y x))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y x))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)) (/.f64 (*.f64 x x) (+.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x))) |
(-.f64 (+.f64 (*.f64 y x) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))) |
(-.f64 (+.f64 (*.f64 y x) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) |
(-.f64 (+.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64)) x) |
(fma.f64 y x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(fma.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (*.f64 y x)) |
(fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 y x)) |
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 x (*.f64 y (*.f64 y x)))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 y x))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y x)))))))) |
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 y x) (*.f64 x (*.f64 y (*.f64 y x)))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (+.f64 (*.f64 x (*.f64 y (*.f64 y x))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y x))))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 (*.f64 y x) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 (*.f64 (*.f64 y x) (*.f64 x (*.f64 y (*.f64 y x)))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x (+.f64 x (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))))) (-.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y x))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x) (*.f64 (+.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 x (*.f64 y (*.f64 y x)))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (+.f64 (*.f64 x (*.f64 y (*.f64 y x))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y x)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 x (*.f64 y (*.f64 y x)))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (+.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 (*.f64 y x) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 y x) (*.f64 x (*.f64 y (*.f64 y x)))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 y (*.f64 y x))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 y x) (*.f64 x (*.f64 y (*.f64 y x)))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 (*.f64 y x) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x (+.f64 x (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (+.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)) |
(/.f64 (*.f64 (+.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y x)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 y x))) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (*.f64 (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) |
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(*.f64 (+.f64 #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (neg.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal -918938533204673/2000000000000000 binary64))))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64)))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) |
(*.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
| 1× | egg-herbie |
| 1908× | *-lowering-*.f32 |
| 1908× | *-lowering-*.f64 |
| 1636× | sum5-define |
| 1502× | fma-define |
| 1484× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 625 |
| 1 | 256 | 575 |
| 2 | 743 | 575 |
| 3 | 2198 | 575 |
| 4 | 7172 | 575 |
| 0 | 8437 | 575 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 918938533204673/1000000000000000 x) |
(- (+ 918938533204673/1000000000000000 (* x y)) x) |
(- (+ 918938533204673/1000000000000000 (* x y)) x) |
(- (+ 918938533204673/1000000000000000 (* x y)) x) |
(* x y) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* x (- y 1))) |
(+ 918938533204673/1000000000000000 (* x (- y 1))) |
(+ 918938533204673/1000000000000000 (* x (- y 1))) |
(* x (- y 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* 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) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(* -1 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* -1 x) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* x y)) |
(+ (* -1 x) (* x y)) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* -1/2 y) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(* x y) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
-1/2 |
(- x 1/2) |
(- x 1/2) |
(- x 1/2) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
x |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(* -1/2 y) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(* -1/2 y) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
| Outputs |
|---|
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(- (+ 918938533204673/1000000000000000 (* x y)) x) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(- (+ 918938533204673/1000000000000000 (* x y)) x) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(- (+ 918938533204673/1000000000000000 (* x y)) x) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* x y) |
(*.f64 x y) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (/ x y))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ 918938533204673/1000000000000000 (* x (- y 1))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(+ 918938533204673/1000000000000000 (* x (- y 1))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(+ 918938533204673/1000000000000000 (* x (- y 1))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x))))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x))))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* -1 (* x (- (+ 1 (* -1 y)) (* 918938533204673/1000000000000000 (/ 1 x))))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(+ (* -1 x) (* x y)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(+ (* -1 x) (* x y)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(+ (* -1 x) (* x y)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
y |
(* y (- 1 (/ 1 y))) |
(+.f64 y #s(literal -1 binary64)) |
(* y (- 1 (/ 1 y))) |
(+.f64 y #s(literal -1 binary64)) |
(* y (- 1 (/ 1 y))) |
(+.f64 y #s(literal -1 binary64)) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 y #s(literal -1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 y #s(literal -1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 y #s(literal -1 binary64)) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- x 1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
(- x 1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
(- x 1/2) |
(+.f64 x #s(literal -1/2 binary64)) |
x |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(+.f64 x #s(literal -1/2 binary64)) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(+.f64 x #s(literal -1/2 binary64)) |
(* x (- 1 (* 1/2 (/ 1 x)))) |
(+.f64 x #s(literal -1/2 binary64)) |
x |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/2 binary64)) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y))))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
Compiled 9394 to 1055 computations (88.8% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 547 | 5 | 552 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 549 | 11 | 560 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.9% | (-.f64 (*.f64 y x) x) |
| ✓ | 49.9% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ✓ | 100.0% | (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| 51.1% | (+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) | |
| ▶ | 73.1% | (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | 45.7% | (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | 51.1% | (*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
| ▶ | 28.0% | (*.f64 y x) |
| ▶ | 25.6% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | 55.9% | (*.f64 x (+.f64 y #s(literal -1 binary64))) |
| ▶ | 22.3% | #s(literal 918938533204673/1000000000000000 binary64) |
Compiled 113 to 82 computations (27.4% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 y x) x) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| 714× | fnmadd-define |
| 666× | sum3-define |
| 576× | sum5-define |
| 526× | fmsub-define |
| 510× | fnmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 20 | 36 |
| 2 | 38 | 36 |
| 3 | 77 | 36 |
| 4 | 147 | 36 |
| 5 | 309 | 36 |
| 6 | 764 | 36 |
| 7 | 1502 | 36 |
| 8 | 2395 | 36 |
| 9 | 2618 | 36 |
| 10 | 2653 | 36 |
| 0 | 2653 | 36 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* y -1/2) (- 918938533204673/1000000000000000 x)) |
(* y -1/2) |
y |
-1/2 |
(- 918938533204673/1000000000000000 x) |
918938533204673/1000000000000000 |
x |
918938533204673/1000000000000000 |
(* y -1/2) |
y |
-1/2 |
(* y x) |
y |
x |
(- (* y x) x) |
(* y x) |
y |
x |
| Outputs |
|---|
(+ (* y -1/2) (- 918938533204673/1000000000000000 x)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) x)) |
(* y -1/2) |
(*.f64 y #s(literal -1/2 binary64)) |
y |
-1/2 |
#s(literal -1/2 binary64) |
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
x |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(* y -1/2) |
(*.f64 y #s(literal -1/2 binary64)) |
y |
-1/2 |
#s(literal -1/2 binary64) |
(* y x) |
(*.f64 y x) |
y |
x |
(- (* y x) x) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* y x) |
(*.f64 y x) |
y |
x |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 y x) x) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/2 binary64)) |
| 33.0ms | 256× | 0 | valid |
Compiled 41 to 10 computations (75.6% saved)
ival-mult: 5.0ms (34.2% of total)...c/correct-round.rkt:119:19: 5.0ms (34.2% of total)ival-sub: 3.0ms (20.5% of total)ival-add: 1.0ms (6.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* y -1/2) (- 918938533204673/1000000000000000 x))> |
#<alt (* y -1/2)> |
#<alt (- 918938533204673/1000000000000000 x)> |
#<alt (* y x)> |
#<alt (- (* y x) x)> |
| Outputs |
|---|
#<alt (- 918938533204673/1000000000000000 x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)> |
#<alt (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x)> |
#<alt (* -1/2 y)> |
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))> |
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))> |
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y))))> |
#<alt (* -1/2 y)> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))> |
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))> |
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y)))> |
#<alt (* -1 x)> |
#<alt (* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))> |
#<alt (* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))> |
#<alt (* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt 918938533204673/1000000000000000> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (+ 918938533204673/1000000000000000 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))> |
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))> |
#<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)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* -1 x)> |
#<alt (- (* x y) x)> |
#<alt (- (* x y) x)> |
#<alt (- (* x y) x)> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* y (+ x (* -1 (/ x y))))> |
#<alt (* x y)> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* x (- y 1))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
#<alt (* -1 (* x (+ 1 (* -1 y))))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (+ (* y -1/2) (- 918938533204673/1000000000000000 x)) |
| 0.0ms | x | @ | 0 | (+ (* y -1/2) (- 918938533204673/1000000000000000 x)) |
| 0.0ms | x | @ | inf | (- (* y x) x) |
| 0.0ms | y | @ | 0 | (+ (* y -1/2) (- 918938533204673/1000000000000000 x)) |
| 0.0ms | y | @ | inf | (- (* y x) x) |
| 1× | batch-egg-rewrite |
| 4236× | *-lowering-*.f32 |
| 4236× | *-lowering-*.f64 |
| 3066× | /-lowering-/.f32 |
| 3066× | /-lowering-/.f64 |
| 1524× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 57 | 19 |
| 2 | 502 | 19 |
| 3 | 7589 | 19 |
| 0 | 8035 | 19 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* y -1/2) (- 918938533204673/1000000000000000 x)) |
(* y -1/2) |
(- 918938533204673/1000000000000000 x) |
(* y x) |
(- (* y x) x) |
| Outputs |
|---|
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -1/2 binary64))))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (-.f64 x (*.f64 y #s(literal -1/2 binary64))))) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) x)) |
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) |
(+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 x (*.f64 y #s(literal -1/2 binary64)))) |
(-.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x) |
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (*.f64 y #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))) |
(-.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) |
(-.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) |
(-.f64 (+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64)) x) |
(fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(fma.f64 #s(literal -1/2 binary64) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(fma.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y #s(literal -1/2 binary64))) |
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64)))))))) |
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (+.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))))) (+.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 x x)) x)) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 x x)) x))) (*.f64 (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x x)) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x x)))) (+.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 x x)) x)) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))) (+.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))) (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))) (+.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))) (*.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x)) (+.f64 y #s(literal 1 binary64))) x) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(literal -1 binary64) y)) |
(*.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 x x)))))) |
(*.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))))) |
(*.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))) (/.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))) |
(*.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) |
(*.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x))) |
(*.f64 (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x)) (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64)))))))) (+.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64)))) (-.f64 (*.f64 x (*.f64 x (+.f64 y #s(literal 1 binary64)))) (*.f64 y (*.f64 y (*.f64 x x))))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))) (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))) (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x)) (*.f64 (+.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 y (*.f64 x x)))) |
| 1× | egg-herbie |
| 1900× | fmsub-define |
| 1862× | fma-lowering-fma.f32 |
| 1862× | fma-lowering-fma.f64 |
| 1642× | fnmsub-define |
| 1558× | fmm-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 376 |
| 1 | 184 | 357 |
| 2 | 533 | 357 |
| 3 | 1416 | 357 |
| 4 | 4833 | 357 |
| 0 | 8108 | 357 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 918938533204673/1000000000000000 x) |
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) |
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) |
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) |
(* -1/2 y) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y))) |
(* -1 x) |
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
918938533204673/1000000000000000 |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(* -1 x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(* 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) |
(* -1 x) |
(- (* x y) x) |
(- (* x y) x) |
(- (* x y) x) |
(* x y) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* y (+ x (* -1 (/ x y)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* x (- y 1)) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(* -1 (* x (+ 1 (* -1 y)))) |
| Outputs |
|---|
(- 918938533204673/1000000000000000 x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* -1 (* y (+ 1/2 (* -1 (/ (- 918938533204673/1000000000000000 x) y))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(+ 918938533204673/1000000000000000 (* -1/2 y)) |
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* -1/2 y))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* x (- (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x))) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y #s(literal 1/2 binary64)))) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
918938533204673/1000000000000000 |
#s(literal 918938533204673/1000000000000000 binary64) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(+ 918938533204673/1000000000000000 (* -1 x)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x))))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(- (* x y) x) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(- (* x y) x) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(- (* x y) x) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* y (+ x (* -1 (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* y (+ (* -1 x) (/ x y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* x (- y 1)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
Compiled 8127 to 709 computations (91.3% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 356 | 0 | 356 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 356 | 11 | 367 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 55.9% | (-.f64 (*.f64 y x) x) |
| ✓ | 49.9% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ✓ | 100.0% | (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ▶ | 51.1% | (+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) |
| ✓ | 73.1% | (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | 45.7% | (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | 51.1% | (*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
| ✓ | 28.0% | (*.f64 y x) |
| ✓ | 25.6% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | 55.9% | (*.f64 x (+.f64 y #s(literal -1 binary64))) |
| ✓ | 22.3% | #s(literal 918938533204673/1000000000000000 binary64) |
Compiled 75 to 55 computations (26.7% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) |
| 12× | *-lowering-*.f32 |
| 12× | *-lowering-*.f64 |
| 8× | fma-lowering-fma.f32 |
| 8× | fma-define |
| 8× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 14 |
| 1 | 12 | 14 |
| 2 | 18 | 14 |
| 0 | 18 | 14 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* y x) (* y -1/2)) |
(* y x) |
y |
x |
(* y -1/2) |
-1/2 |
| Outputs |
|---|
(+ (* y x) (* y -1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y x) |
(*.f64 y x) |
y |
x |
(* y -1/2) |
(*.f64 y #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) |
| 15.0ms | 256× | 0 | valid |
Compiled 19 to 7 computations (63.2% saved)
ival-mult: 4.0ms (72% of total)ival-add: 1.0ms (18% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* y x) (* y -1/2))> |
#<alt (* y x)> |
#<alt (* y -1/2)> |
| Outputs |
|---|
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* y (- x 1/2))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1 (* y (+ 1/2 (* -1 x))))> |
#<alt (* -1/2 y)> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (+ (* -1/2 y) (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x (+ y (* -1/2 (/ y x))))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))> |
#<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)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
#<alt (* -1/2 y)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (+ (* y x) (* y -1/2)) |
| 0.0ms | y | @ | 0 | (+ (* y x) (* y -1/2)) |
| 0.0ms | y | @ | -inf | (+ (* y x) (* y -1/2)) |
| 0.0ms | x | @ | -inf | (+ (* y x) (* y -1/2)) |
| 0.0ms | x | @ | inf | (+ (* y x) (* y -1/2)) |
| 1× | batch-egg-rewrite |
| 2768× | *-lowering-*.f32 |
| 2768× | *-lowering-*.f64 |
| 1858× | sum5-define |
| 1518× | fmsub-define |
| 1518× | fmm-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 25 | 11 |
| 2 | 220 | 11 |
| 3 | 2838 | 11 |
| 0 | 8272 | 11 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* y x) (* y -1/2)) |
(* y x) |
(* y -1/2) |
| Outputs |
|---|
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x)) |
(+.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))) |
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x)) |
(fma.f64 y (/.f64 (*.f64 y (*.f64 x x)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 x y (*.f64 y #s(literal -1/2 binary64))) |
(fma.f64 x (/.f64 (*.f64 y (*.f64 y x)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x)) |
(fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 y (*.f64 y x)) (/.f64 x (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 y (*.f64 x x)) (/.f64 y (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 y y) (/.f64 (*.f64 y (*.f64 x x)) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y x)) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 y x) y) (/.f64 (*.f64 y x) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 y y) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 y y) y) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 y (*.f64 y x)) y) (/.f64 x (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 y (*.f64 x x)) y) (/.f64 y (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) (+.f64 x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 x #s(literal 1/2 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 y x))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -1/512 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) (+.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 y x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (*.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal 1/4 binary64))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (*.f64 y #s(literal 1/4 binary64))))) (*.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) |
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(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/4 binary64)) y) (+.f64 x #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))) y) (+.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 y y) (-.f64 #s(literal 1/4 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
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(*.f64 (+.f64 x #s(literal -1/2 binary64)) y) |
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(*.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (/.f64 (*.f64 y (+.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal -1/4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) #s(literal 1/4 binary64))))) |
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(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) |
(exp.f64 (log.f64 (*.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y))) |
(exp.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -1/2 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1/2 binary64))) (exp.f64 (log.f64 y))) |
| 1× | egg-herbie |
| 2190× | sum3-define |
| 1814× | fnmadd-define |
| 1446× | fmsub-define |
| 1372× | sum4-define |
| 1336× | fmm-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 222 |
| 1 | 70 | 222 |
| 2 | 199 | 222 |
| 3 | 436 | 222 |
| 4 | 1005 | 222 |
| 5 | 3157 | 222 |
| 6 | 7371 | 222 |
| 0 | 8880 | 222 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* y (- x 1/2)) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(* -1/2 y) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(+ (* -1/2 y) (* x y)) |
(* x y) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x (+ y (* -1/2 (/ y x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(* 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) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
| Outputs |
|---|
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* y (- x 1/2)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* y (+ 1/2 (* -1 x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+ (* -1/2 y) (* x y)) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x (+ y (* -1/2 (/ y x)))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x))))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
(* -1/2 y) |
(*.f64 y #s(literal -1/2 binary64)) |
Compiled 3666 to 337 computations (90.8% saved)
11 alts after pruning (0 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 172 | 0 | 172 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 10 | 10 |
| Total | 172 | 11 | 183 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 55.9% | (-.f64 (*.f64 y x) x) |
| ✓ | 49.9% | (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| ✓ | 100.0% | (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | 51.1% | (+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) |
| ✓ | 73.1% | (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| ✓ | 45.7% | (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) |
| ✓ | 51.1% | (*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
| ✓ | 28.0% | (*.f64 y x) |
| ✓ | 25.6% | (*.f64 y #s(literal -1/2 binary64)) |
| ✓ | 55.9% | (*.f64 x (+.f64 y #s(literal -1 binary64))) |
| ✓ | 22.3% | #s(literal 918938533204673/1000000000000000 binary64) |
Compiled 157 to 83 computations (47.1% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+.f64 (-.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
4 calls:
| 7.0ms | x |
| 5.0ms | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
| 5.0ms | y |
| 5.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) |
| 100.0% | 1 | (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
| Outputs |
|---|
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) |
2 calls:
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
| 99.1% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) |
| Outputs |
|---|
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
2 calls:
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | x |
| 98.4% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) |
(-.f64 (*.f64 y x) x) |
| Outputs |
|---|
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
2 calls:
| 4.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | y |
| 98.0% | 3 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) |
| Outputs |
|---|
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
| Outputs |
|---|
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 y (+.f64 x #s(literal -1/2 binary64))) |
2 calls:
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | y |
| 81.7% | 4 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
(*.f64 y #s(literal -1/2 binary64)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 x (+.f64 y #s(literal -1 binary64))) |
2 calls:
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 4 | x |
| 82.7% | 6 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
| Outputs |
|---|
(*.f64 y x) |
(*.f64 y #s(literal -1/2 binary64)) |
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) |
(*.f64 y x) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
2 calls:
| 14.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.2% | 6 | y |
| 62.6% | 6 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 y x) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal 918938533204673/1000000000000000 binary64) |
(*.f64 y x) |
2 calls:
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 4 | x |
| 54.8% | 6 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
(*.f64 y #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 y #s(literal -1/2 binary64)) |
#s(literal 918938533204673/1000000000000000 binary64) |
(*.f64 y #s(literal -1/2 binary64)) |
2 calls:
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.0% | 3 | y |
| 27.9% | 2 | x |
Compiled 6 to 4 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
| Outputs |
|---|
#s(literal 918938533204673/1000000000000000 binary64) |
2 calls:
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.3% | 1 | x |
| 22.3% | 1 | y |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 4.93095664275105 | 1718452254374546.5 |
| 14.0ms | -8.415594566341755e+42 | -3.057278267960629e+41 |
| 49.0ms | 272× | 0 | valid |
Compiled 344 to 245 computations (28.8% saved)
...c/correct-round.rkt:119:19: 24.0ms (58.7% of total)ival-sub: 11.0ms (26.9% of total)ival-mult: 4.0ms (9.8% of total)ival-add: 1.0ms (2.4% 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 |
|---|---|---|
| 12.0ms | 7205321082853842.0 | 105299301123634130.0 |
| 18.0ms | -431950.0536375332 | -0.0009877839400928151 |
| 21.0ms | 240× | 0 | valid |
Compiled 288 to 215 computations (25.3% saved)
...c/correct-round.rkt:119:19: 4.0ms (32.9% of total)ival-sub: 3.0ms (24.7% of total)ival-mult: 3.0ms (24.7% of total)ival-add: 1.0ms (8.2% 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 | 0.1199954895182445 | 573677562011.1108 |
| 18.0ms | -431950.0536375332 | -0.0009877839400928151 |
| 26.0ms | 304× | 0 | valid |
Compiled 322 to 252 computations (21.7% saved)
ival-sub: 5.0ms (29.6% of total)...c/correct-round.rkt:119:19: 5.0ms (29.6% of total)ival-mult: 4.0ms (23.7% of total)ival-add: 2.0ms (11.8% of total)const: 1.0ms (5.9% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.1199954895182445 | 573677562011.1108 |
| 16.0ms | -431950.0536375332 | -0.0009877839400928151 |
| 26.0ms | 304× | 0 | valid |
Compiled 322 to 261 computations (18.9% saved)
...c/correct-round.rkt:119:19: 6.0ms (35.4% of total)ival-sub: 5.0ms (29.5% of total)ival-mult: 4.0ms (23.6% of total)ival-add: 2.0ms (11.8% 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 | 0.003286508190057383 | 4.93095664275105 |
| 16.0ms | -27.11131613056595 | -0.016187041272818992 |
| 23.0ms | 256× | 0 | valid |
Compiled 242 to 190 computations (21.5% saved)
...c/correct-round.rkt:119:19: 5.0ms (38.8% of total)ival-mult: 4.0ms (31% of total)ival-sub: 3.0ms (23.3% of total)ival-add: 1.0ms (7.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 7205321082853842.0 | 105299301123634130.0 |
| 12.0ms | 1.5333569015270304e-305 | 3.134560160829426e-304 |
| 21.0ms | -0.0009877839400928151 | -1.4759059097819332e-12 |
| 33.0ms | 352× | 0 | valid |
Compiled 312 to 249 computations (20.2% saved)
...c/correct-round.rkt:119:19: 12.0ms (52.2% of total)ival-mult: 5.0ms (21.8% of total)ival-sub: 4.0ms (17.4% of total)ival-add: 2.0ms (8.7% of total)const: 1.0ms (4.4% of total)backward-pass: 0.0ms (0% of total)| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.6000570833402346e+202 | 5.84435523179799e+206 |
| 16.0ms | 3.7096498032093383e+83 | 7.564434136606591e+86 |
| 14.0ms | 0.003286508190057383 | 4.93095664275105 |
| 15.0ms | -8.415594566341755e+42 | -3.057278267960629e+41 |
| 12.0ms | -1.937609536979575e+162 | -5.4179378770019673e+160 |
| 51.0ms | 608× | 0 | valid |
Compiled 474 to 363 computations (23.4% saved)
...c/correct-round.rkt:119:19: 12.0ms (38.1% of total)ival-mult: 8.0ms (25.4% of total)ival-sub: 7.0ms (22.2% of total)ival-add: 3.0ms (9.5% of total)const: 1.0ms (3.2% of total)backward-pass: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.1199954895182445 | 573677562011.1108 |
| 15.0ms | 1.5333569015270304e-305 | 3.134560160829426e-304 |
| 16.0ms | -0.0009877839400928151 | -1.4759059097819332e-12 |
| 34.0ms | 416× | 0 | valid |
Compiled 296 to 238 computations (19.6% saved)
...c/correct-round.rkt:119:19: 7.0ms (33.7% of total)ival-mult: 6.0ms (28.9% of total)ival-sub: 5.0ms (24.1% of total)ival-add: 2.0ms (9.6% of total)const: 1.0ms (4.8% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 4.93095664275105 | 1718452254374546.5 |
| 14.0ms | -8.415594566341755e+42 | -3.057278267960629e+41 |
| 23.0ms | 272× | 0 | valid |
Compiled 188 to 167 computations (11.2% saved)
...c/correct-round.rkt:119:19: 7.0ms (46.2% of total)ival-mult: 4.0ms (26.4% of total)ival-sub: 3.0ms (19.8% of total)ival-add: 1.0ms (6.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 20× | +-commutative_binary64 |
| 10× | *-commutative_binary64 |
| 8× | if-if-or-not_binary32 |
| 6× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 220 |
| 1 | 103 | 220 |
| 2 | 108 | 220 |
| 3 | 110 | 220 |
| 4 | 111 | 220 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(if (<=.f64 y #s(literal -310000000000000015461995979310259547144192 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 180000000 binary64)) (+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))) |
(if (<=.f64 x #s(literal -410000 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 7400000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 2476979795053773/4503599627370496 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) |
(if (<=.f64 y #s(literal -5404319552844595/4503599627370496 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) |
(if (<=.f64 x #s(literal -8762203435012037/9223372036854775808 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 2100121036513843/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 7400000000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) |
(if (<=.f64 y #s(literal -600000000000000022647535948936889322396981907692173861598519528721057611825232626302850683517925742870817166592182374070586593787352349194058926994756008721514496 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -310000000000000015461995979310259547144192 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 2296835809958953/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 34000000000000003258142176559171198026883806498208452995916355631927698449548728860672 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 2350000000000000078033381998117687758959517919862175072457975584850979994181816994149346475353453951823130377924256989557808368039231917530836117016295216587823369067047823793652796063940076015208152170496 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x)))))) |
(if (<=.f64 x #s(literal -8854437155380585/9223372036854775808 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 3706095946789135/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -310000000000000015461995979310259547144192 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 5 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))) |
#s(literal 918938533204673/1000000000000000 binary64) |
| Outputs |
|---|
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) |
(if (<=.f64 y #s(literal -310000000000000015461995979310259547144192 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 180000000 binary64)) (+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))) |
(if (<=.f64 y #s(literal -310000000000000015461995979310259547144192 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 180000000 binary64)) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y x)) (+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))) |
(if (<=.f64 x #s(literal -410000 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 7400000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal -410000 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 7400000000000000 binary64)) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 2476979795053773/4503599627370496 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) (-.f64 (*.f64 y x) x) (if (<=.f64 x #s(literal 2476979795053773/4503599627370496 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64))))) |
(if (<=.f64 y #s(literal -5404319552844595/4503599627370496 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) |
(if (<=.f64 x #s(literal -8762203435012037/9223372036854775808 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 2100121036513843/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 7400000000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 x (+.f64 y #s(literal -1 binary64)))))) |
(if (<=.f64 y #s(literal -600000000000000022647535948936889322396981907692173861598519528721057611825232626302850683517925742870817166592182374070586593787352349194058926994756008721514496 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -310000000000000015461995979310259547144192 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 2296835809958953/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 34000000000000003258142176559171198026883806498208452995916355631927698449548728860672 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 2350000000000000078033381998117687758959517919862175072457975584850979994181816994149346475353453951823130377924256989557808368039231917530836117016295216587823369067047823793652796063940076015208152170496 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x)))))) |
(if (<=.f64 x #s(literal -8854437155380585/9223372036854775808 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 3706095946789135/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -310000000000000015461995979310259547144192 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 5 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))) |
#s(literal 918938533204673/1000000000000000 binary64) |
| 4668× | *-lowering-*.f32 |
| 4668× | *-lowering-*.f64 |
| 3700× | /-lowering-/.f32 |
| 3700× | /-lowering-/.f64 |
| 2654× | sum3-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 35 |
| 1 | 97 | 35 |
| 2 | 777 | 35 |
| 0 | 8757 | 35 |
| 0 | 10 | 10 |
| 1 | 27 | 9 |
| 2 | 69 | 9 |
| 3 | 159 | 9 |
| 4 | 345 | 8 |
| 5 | 890 | 8 |
| 6 | 2558 | 8 |
| 7 | 4680 | 8 |
| 8 | 7422 | 8 |
| 0 | 8011 | 8 |
| 0 | 122 | 1102 |
| 1 | 422 | 1004 |
| 2 | 1379 | 953 |
| 3 | 4685 | 941 |
| 0 | 8064 | 941 |
| 0 | 80 | 625 |
| 1 | 256 | 575 |
| 2 | 743 | 575 |
| 3 | 2198 | 575 |
| 4 | 7172 | 575 |
| 0 | 8437 | 575 |
| 1× | done |
| 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 739 to 444 computations (39.9% saved)
Compiled 494 to 174 computations (64.8% saved)
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