
Time bar (total: 5.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
ival-mult: 5.0ms (55.4% of total)ival-div: 2.0ms (22.2% of total)ival-add: 2.0ms (22.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 495.0ms | 8256× | 0 | valid |
ival-mult: 80.0ms (36.7% of total)ival-div: 76.0ms (34.9% of total)ival-add: 48.0ms (22% of total)const: 11.0ms (5.1% of total)backward-pass: 3.0ms (1.4% of total)| 2× | egg-herbie |
| 1788× | fma-define |
| 1756× | fnmadd-define |
| 1112× | sum3-define |
| 690× | fnmsub-define |
| 676× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 52 |
| 1 | 52 | 42 |
| 2 | 125 | 42 |
| 3 | 300 | 42 |
| 4 | 933 | 42 |
| 5 | 2209 | 42 |
| 6 | 4157 | 42 |
| 7 | 4899 | 42 |
| 8 | 4983 | 42 |
| 9 | 5135 | 42 |
| 10 | 5183 | 42 |
| 0 | 6 | 7 |
| 1 | 10 | 7 |
| 2 | 13 | 7 |
| 3 | 14 | 7 |
| 0 | 14 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (* x 100) (+ x y)) |
| Outputs |
|---|
(/ (* x 100) (+ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
| Inputs |
|---|
(/ (* x 100) (+ x y)) |
(/ (* (neg x) 100) (+ (neg x) y)) |
(/ (* x 100) (+ x (neg y))) |
(neg (/ (* (neg x) 100) (+ (neg x) y))) |
(neg (/ (* x 100) (+ x (neg y)))) |
(/ (* y 100) (+ y x)) |
| Outputs |
|---|
(/ (* x 100) (+ x y)) |
(* x (/ 100 (+ x y))) |
(/ (* (neg x) 100) (+ (neg x) y)) |
(* 100 (/ x (- x y))) |
(/ (* x 100) (+ x (neg y))) |
(* 100 (/ x (- x y))) |
(neg (/ (* (neg x) 100) (+ (neg x) y))) |
(* 100 (/ x (- y x))) |
(neg (/ (* x 100) (+ x (neg y)))) |
(* 100 (/ x (- y x))) |
(/ (* y 100) (+ y x)) |
(* 100 (/ y (+ x y))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | #s(literal 100 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 100 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | y |
| 48.0ms | 512× | 0 | valid |
Compiled 47 to 20 computations (57.4% saved)
ival-div: 5.0ms (38.6% of total)ival-mult: 4.0ms (30.9% of total)ival-add: 3.0ms (23.1% of total)const: 1.0ms (7.7% of total)backward-pass: 0.0ms (0% of total)Compiled 9 to 6 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ▶ | 99.8% | (*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
Compiled 18 to 12 computations (33.3% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 100 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 x y)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
| 12× | *-lowering-*.f32 |
| 12× | *-lowering-*.f64 |
| 6× | *-commutative |
| 6× | /-lowering-/.f32 |
| 6× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 34 |
| 1 | 14 | 34 |
| 2 | 15 | 34 |
| 0 | 15 | 34 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 100 (/ x (+ x y))) |
100 |
(/ x (+ x y)) |
x |
(+ x y) |
y |
(/ (* x 100) (+ x y)) |
(* x 100) |
x |
100 |
(+ x y) |
y |
| Outputs |
|---|
(* 100 (/ x (+ x y))) |
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y)) |
100 |
#s(literal 100 binary64) |
(/ x (+ x y)) |
(/.f64 x (+.f64 x y)) |
x |
(+ x y) |
(+.f64 x y) |
y |
(/ (* x 100) (+ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y)) |
(* x 100) |
(*.f64 #s(literal 100 binary64) x) |
x |
100 |
#s(literal 100 binary64) |
(+ x y) |
(+.f64 x y) |
y |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 100 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 x y)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
| 34.0ms | 256× | 0 | valid |
Compiled 37 to 9 computations (75.7% saved)
ival-div: 4.0ms (42.4% of total)ival-mult: 3.0ms (31.8% of total)ival-add: 2.0ms (21.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* 100 (/ x (+ x y)))> |
#<alt (/ x (+ x y))> |
#<alt (+ x y)> |
#<alt (/ (* x 100) (+ x y))> |
#<alt (* x 100)> |
| Outputs |
|---|
#<alt (* 100 (/ x y))> |
#<alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))> |
#<alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))> |
#<alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))> |
#<alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))> |
#<alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))> |
#<alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))> |
#<alt (* 100 (/ x y))> |
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)> |
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)> |
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)> |
#<alt (* 100 (/ x y))> |
#<alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))> |
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))> |
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))> |
#<alt (/ x y)> |
#<alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))> |
#<alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ y x)))> |
#<alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))> |
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ y x)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ y x)))> |
#<alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))> |
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))> |
#<alt (/ x y)> |
#<alt (/ (+ x (* -1 (/ (pow x 2) y))) y)> |
#<alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)> |
#<alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)> |
#<alt (/ x y)> |
#<alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))> |
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* 100 (/ x y))> |
#<alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))> |
#<alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))> |
#<alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))> |
#<alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))> |
#<alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))> |
#<alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))> |
#<alt (* 100 (/ x y))> |
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)> |
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)> |
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)> |
#<alt (* 100 (/ x y))> |
#<alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))> |
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))> |
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (/ x (+ x y)) |
| 0.0ms | x | @ | 0 | (* x 100) |
| 0.0ms | y | @ | inf | (* 100 (/ x (+ x y))) |
| 0.0ms | x | @ | 0 | (* 100 (/ x (+ x y))) |
| 0.0ms | x | @ | inf | (* 100 (/ x (+ x y))) |
| 1× | batch-egg-rewrite |
| 3364× | *-lowering-*.f32 |
| 3364× | *-lowering-*.f64 |
| 2044× | fma-lowering-fma.f32 |
| 2044× | fma-lowering-fma.f64 |
| 1984× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 1 | 40 | 25 |
| 2 | 272 | 25 |
| 3 | 2684 | 25 |
| 0 | 8652 | 25 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 100 (/ x (+ x y))) |
(/ x (+ x y)) |
(+ x y) |
(/ (* x 100) (+ x y)) |
(* x 100) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))) x) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 100 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y))) |
(fma.f64 x (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))) x (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y))) |
(neg.f64 (*.f64 (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y)) #s(literal 100 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 x y) x) #s(literal 100 binary64)))) |
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) |
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y)) |
(/.f64 (*.f64 x #s(literal -100 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) x) #s(literal 100 binary64))) |
(/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 x y) x) #s(literal -100 binary64))) |
(/.f64 #s(literal -100 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1/100 binary64) x)) |
(/.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))) |
(/.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (-.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x)))))) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))))) |
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(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))) |
(*.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (-.f64 x y))) |
(*.f64 (/.f64 #s(literal 100 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -100 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) #s(literal -100 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y))) (*.f64 #s(literal 100 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x (-.f64 x y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -100 binary64))) |
(neg.f64 (*.f64 x #s(literal -100 binary64))) |
(*.f64 #s(literal 100 binary64) x) |
(*.f64 x #s(literal 100 binary64)) |
(*.f64 (*.f64 #s(literal 100 binary64) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -100 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -100 binary64))) |
(*.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) x)) |
| 1× | egg-herbie |
| 3882× | *-lowering-*.f32 |
| 3882× | *-lowering-*.f64 |
| 2156× | /-lowering-/.f32 |
| 2156× | /-lowering-/.f64 |
| 1398× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 219 | 1132 |
| 1 | 735 | 1001 |
| 2 | 2010 | 941 |
| 3 | 7317 | 941 |
| 0 | 8203 | 941 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/ x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
1 |
(+ 1 (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(/ x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
| Outputs |
|---|
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 x (+.f64 (*.f64 x (/.f64 #s(literal -100 binary64) (*.f64 y y))) (/.f64 #s(literal 100 binary64) y))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64))))))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (*.f64 x x)) (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x)))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (*.f64 x x)) (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x)))) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) y) (*.f64 #s(literal 100 binary64) x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) y) (*.f64 #s(literal 100 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal -100 binary64) (+.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y y)))))) y) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) y) (*.f64 #s(literal 100 binary64) x)) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) x) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (/.f64 (*.f64 x (*.f64 #s(literal 100 binary64) (*.f64 x x))) y)) y)) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) x) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (/.f64 (+.f64 (*.f64 x (*.f64 #s(literal 100 binary64) (*.f64 x x))) (/.f64 (*.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64))) y)) y)) y)) y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y) |
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 y y)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) x)) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ (pow x 2) y))) y) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y) |
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) |
(/.f64 (-.f64 x (*.f64 (/.f64 x y) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y) x) (-.f64 #s(literal 0 binary64) y)) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) |
(/.f64 (-.f64 x (*.f64 (/.f64 x y) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))))) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y) x) (-.f64 #s(literal 0 binary64) y)) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* x (+ 1 (/ y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* x (+ 1 (/ y x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(* y (+ 1 (/ x y))) |
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(* y (+ 1 (/ x y))) |
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 x (+.f64 (*.f64 x (/.f64 #s(literal -100 binary64) (*.f64 y y))) (/.f64 #s(literal 100 binary64) y))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64))))))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (*.f64 x x)) (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x)))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x)) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (*.f64 x x)) (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x)))) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) y) (*.f64 #s(literal 100 binary64) x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) y) (*.f64 #s(literal 100 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))))) (*.f64 #s(literal -100 binary64) (+.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y y)))))) y) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) y) (*.f64 #s(literal 100 binary64) x)) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) x) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (/.f64 (*.f64 x (*.f64 #s(literal 100 binary64) (*.f64 x x))) y)) y)) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) x) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (/.f64 (+.f64 (*.f64 x (*.f64 #s(literal 100 binary64) (*.f64 x x))) (/.f64 (*.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64))) y)) y)) y)) y) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
Compiled 16566 to 1392 computations (91.6% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 716 | 8 | 724 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 717 | 9 | 726 |
| Status | Accuracy | Program |
|---|---|---|
| 48.2% | (/.f64 (*.f64 x #s(literal 100 binary64)) y) | |
| ▶ | 52.1% | (/.f64 (*.f64 x #s(literal 100 binary64)) x) |
| ▶ | 99.7% | (/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
| 99.4% | (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) | |
| ▶ | 52.6% | (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))) |
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
| ✓ | 99.8% | (*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
| 48.2% | (*.f64 #s(literal 100 binary64) (/.f64 x y)) | |
| ▶ | 52.5% | #s(literal 100 binary64) |
Compiled 129 to 90 computations (30.2% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x y) #s(literal 100 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 100 binary64) (/.f64 y x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 100 binary64)) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 x #s(literal 100 binary64)) x) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 100 binary64) (+.f64 x y)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
| 1350× | fnmadd-define |
| 1050× | fmsub-define |
| 986× | fnmsub-define |
| 948× | fma-define |
| 866× | fmm-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 61 |
| 1 | 31 | 61 |
| 2 | 53 | 60 |
| 3 | 85 | 60 |
| 4 | 135 | 60 |
| 5 | 202 | 60 |
| 6 | 298 | 60 |
| 7 | 385 | 60 |
| 8 | 494 | 60 |
| 9 | 698 | 60 |
| 10 | 814 | 60 |
| 11 | 1135 | 60 |
| 12 | 2039 | 60 |
| 13 | 3117 | 60 |
| 14 | 3997 | 60 |
| 15 | 4506 | 60 |
| 16 | 4611 | 60 |
| 17 | 4710 | 60 |
| 18 | 4742 | 60 |
| 19 | 4742 | 60 |
| 0 | 4742 | 60 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (/ 100 (+ x y)) x) |
(/ 100 (+ x y)) |
100 |
(+ x y) |
x |
y |
100 |
(/ (* x 100) x) |
(* x 100) |
x |
100 |
(- 100 (* 100 (/ y x))) |
100 |
(* 100 (/ y x)) |
(/ y x) |
y |
x |
(/ x (/ (+ x y) 100)) |
x |
(/ (+ x y) 100) |
(+ x y) |
y |
100 |
| Outputs |
|---|
(* (/ 100 (+ x y)) x) |
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
(/ 100 (+ x y)) |
(/.f64 #s(literal 100 binary64) (+.f64 x y)) |
100 |
#s(literal 100 binary64) |
(+ x y) |
(+.f64 x y) |
x |
y |
100 |
#s(literal 100 binary64) |
(/ (* x 100) x) |
#s(literal 100 binary64) |
(* x 100) |
(/.f64 x #s(literal 1/100 binary64)) |
x |
100 |
#s(literal 100 binary64) |
(- 100 (* 100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 y #s(literal -100 binary64)) x)) |
100 |
#s(literal 100 binary64) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(/ y x) |
(/.f64 y x) |
y |
x |
(/ x (/ (+ x y) 100)) |
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
x |
(/ (+ x y) 100) |
(/.f64 (+.f64 x y) #s(literal 100 binary64)) |
(+ x y) |
(+.f64 x y) |
y |
100 |
#s(literal 100 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x y) #s(literal 100 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 100 binary64) (/.f64 y x)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 100 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 x #s(literal 100 binary64)) x) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 100 binary64) (+.f64 x y)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
| 96.0ms | 256× | 0 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-mult: 11.0ms (47.2% of total)ival-div: 9.0ms (38.6% of total)ival-add: 2.0ms (8.6% of total)ival-sub: 1.0ms (4.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ 100 (+ x y)) x)> |
#<alt (/ 100 (+ x y))> |
#<alt (+ x y)> |
#<alt (/ (* x 100) x)> |
#<alt (* x 100)> |
#<alt (- 100 (* 100 (/ y x)))> |
#<alt (* 100 (/ y x))> |
#<alt (/ y x)> |
#<alt (/ x (/ (+ x y) 100))> |
#<alt (/ (+ x y) 100)> |
| Outputs |
|---|
#<alt (* 100 (/ x y))> |
#<alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))> |
#<alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))> |
#<alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))> |
#<alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))> |
#<alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))> |
#<alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))> |
#<alt (* 100 (/ x y))> |
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)> |
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)> |
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)> |
#<alt (* 100 (/ x y))> |
#<alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))> |
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))> |
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))> |
#<alt (/ 100 y)> |
#<alt (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))> |
#<alt (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))> |
#<alt (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))> |
#<alt (/ 100 x)> |
#<alt (/ (+ 100 (* -100 (/ y x))) x)> |
#<alt (/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x)> |
#<alt (/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x)> |
#<alt (/ 100 x)> |
#<alt (* -1 (/ (- (* 100 (/ y x)) 100) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x))> |
#<alt (/ 100 x)> |
#<alt (+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x)))> |
#<alt (+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))> |
#<alt (+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))> |
#<alt (/ 100 y)> |
#<alt (/ (+ 100 (* -100 (/ x y))) y)> |
#<alt (/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y)> |
#<alt (/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y)> |
#<alt (/ 100 y)> |
#<alt (* -1 (/ (- (* 100 (/ x y)) 100) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt (* 100 x)> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (* -100 (/ y x))> |
#<alt (* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))> |
#<alt (* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))> |
#<alt (* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))> |
#<alt (* -100 (/ y x))> |
#<alt (* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))))> |
#<alt (* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))))> |
#<alt (* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))))> |
#<alt (* -100 (/ y x))> |
#<alt (/ (- (* 100 x) (* 100 y)) x)> |
#<alt (/ (- (* 100 x) (* 100 y)) x)> |
#<alt (/ (- (* 100 x) (* 100 y)) x)> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (* 100 (/ y x))> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (* 100 (/ x y))> |
#<alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))> |
#<alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))> |
#<alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))> |
#<alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))> |
#<alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))> |
#<alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))> |
#<alt (* 100 (/ x y))> |
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)> |
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)> |
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)> |
#<alt (* 100 (/ x y))> |
#<alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))> |
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))> |
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))> |
#<alt (* 1/100 y)> |
#<alt (+ (* 1/100 x) (* 1/100 y))> |
#<alt (+ (* 1/100 x) (* 1/100 y))> |
#<alt (+ (* 1/100 x) (* 1/100 y))> |
#<alt (* 1/100 x)> |
#<alt (* x (+ 1/100 (* 1/100 (/ y x))))> |
#<alt (* x (+ 1/100 (* 1/100 (/ y x))))> |
#<alt (* x (+ 1/100 (* 1/100 (/ y x))))> |
#<alt (* 1/100 x)> |
#<alt (* -1 (* x (- (* -1/100 (/ y x)) 1/100)))> |
#<alt (* -1 (* x (- (* -1/100 (/ y x)) 1/100)))> |
#<alt (* -1 (* x (- (* -1/100 (/ y x)) 1/100)))> |
#<alt (* 1/100 x)> |
#<alt (+ (* 1/100 x) (* 1/100 y))> |
#<alt (+ (* 1/100 x) (* 1/100 y))> |
#<alt (+ (* 1/100 x) (* 1/100 y))> |
#<alt (* 1/100 y)> |
#<alt (* y (+ 1/100 (* 1/100 (/ x y))))> |
#<alt (* y (+ 1/100 (* 1/100 (/ x y))))> |
#<alt (* y (+ 1/100 (* 1/100 (/ x y))))> |
#<alt (* 1/100 y)> |
#<alt (* -1 (* y (- (* -1/100 (/ x y)) 1/100)))> |
#<alt (* -1 (* y (- (* -1/100 (/ x y)) 1/100)))> |
#<alt (* -1 (* y (- (* -1/100 (/ x y)) 1/100)))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (* 100 (/ y x)) |
| 0.0ms | y | @ | inf | (/ 100 (+ x y)) |
| 0.0ms | y | @ | inf | (* 100 (/ y x)) |
| 0.0ms | y | @ | inf | (- 100 (* 100 (/ y x))) |
| 0.0ms | y | @ | 0 | (- 100 (* 100 (/ y x))) |
| 1× | batch-egg-rewrite |
| 3460× | *-lowering-*.f32 |
| 3460× | *-lowering-*.f64 |
| 2890× | /-lowering-/.f32 |
| 2890× | /-lowering-/.f64 |
| 1464× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 50 |
| 1 | 85 | 50 |
| 2 | 578 | 45 |
| 3 | 6002 | 45 |
| 0 | 8079 | 45 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 100 (+ x y)) x) |
(/ 100 (+ x y)) |
(+ x y) |
(/ (* x 100) x) |
(* x 100) |
(- 100 (* 100 (/ y x))) |
(* 100 (/ y x)) |
(/ y x) |
(/ x (/ (+ x y) 100)) |
(/ (+ x y) 100) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (-.f64 x y)) x) (*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (-.f64 x y)) (-.f64 #s(literal 0 binary64) y))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 x (/.f64 (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (-.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (-.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 x y) #s(literal 100 binary64)) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (+.f64 x y) #s(literal -100 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) y) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) #s(literal -100 binary64))) (/.f64 x (/.f64 (+.f64 x y) #s(literal -100 binary64)))) |
(neg.f64 (/.f64 x (/.f64 (+.f64 x y) #s(literal -100 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -100 binary64) (+.f64 x y)) x)) |
(neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) y) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 x y) #s(literal -100 binary64))))) |
(neg.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 x y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 x y) #s(literal 100 binary64)) x))) |
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) |
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
(/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 x y)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 x y) #s(literal -100 binary64))) |
(/.f64 (*.f64 x #s(literal -100 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) |
(/.f64 (*.f64 x #s(literal -100 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) #s(literal 100 binary64)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1/100 binary64) x)) |
(/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 x y) #s(literal -100 binary64)) x)) |
(/.f64 (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) x)) #s(literal -1/100 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (/.f64 (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x)))))) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x))))) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) |
(/.f64 (/.f64 x #s(literal 1/100 binary64)) (+.f64 x y)) |
(/.f64 (/.f64 x #s(literal -1/100 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -100 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 x y) #s(literal -100 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 (+.f64 x y) #s(literal -100 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (-.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y)) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (-.f64 x y)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) #s(literal -1 binary64)) (+.f64 x y)) |
(pow.f64 (/.f64 (/.f64 (+.f64 x y) #s(literal 100 binary64)) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
(*.f64 x (/.f64 #s(literal 100 binary64) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 100 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -100 binary64) (+.f64 x y))) |
(*.f64 (*.f64 x #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 #s(literal -100 binary64) (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) x))) |
(*.f64 #s(literal -100 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) x)) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 #s(literal 100 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1/100 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 x #s(literal 1/100 binary64))) |
(*.f64 (-.f64 x y) (/.f64 (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (-.f64 x y))) |
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (+.f64 x y) #s(literal -100 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) y) x))) |
(*.f64 (/.f64 #s(literal -100 binary64) (+.f64 x y)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 x #s(literal -100 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 x #s(literal -1/100 binary64))) |
(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) #s(literal 1/100 binary64))) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (*.f64 #s(literal 100 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)) (/.f64 (-.f64 x y) #s(literal 1/100 binary64))) |
(*.f64 (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) x)) #s(literal -100 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (-.f64 x y)) (-.f64 x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) x)) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (-.f64 x y)) (*.f64 (-.f64 x y) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (-.f64 x y)) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) (+.f64 x y))) |
(*.f64 (/.f64 x #s(literal 1/100 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 x #s(literal -1/100 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -100 binary64) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x y) #s(literal 100 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 x y) #s(literal 100 binary64)) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -100 binary64) (+.f64 x y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) y) x))) #s(literal -100 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 x (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1/100 binary64))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 x (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) #s(literal 1/100 binary64)))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (-.f64 x y))) |
(+.f64 (/.f64 (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) (-.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (-.f64 x y)))) |
(+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (-.f64 x y)) x) (*.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (-.f64 x y)) (-.f64 #s(literal 0 binary64) y))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x x) (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) #s(literal 100 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -100 binary64) (+.f64 x y))) |
(neg.f64 (/.f64 #s(literal -100 binary64) (+.f64 x y))) |
(neg.f64 (/.f64 (/.f64 #s(literal -100 binary64) (+.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 100 binary64) (+.f64 x y)) |
(/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) #s(literal 1 binary64)) |
(/.f64 #s(literal -100 binary64) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) |
(/.f64 #s(literal -100 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1/100 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) #s(literal -100 binary64))) |
(/.f64 (/.f64 #s(literal -100 binary64) (+.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal -1/100 binary64)) |
(/.f64 (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x)))))) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))))) |
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(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) #s(literal -1/100 binary64)) (-.f64 x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (/.f64 #s(literal 1/100 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (/.f64 #s(literal 1/100 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 x y))) (-.f64 x y)) |
(pow.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x y) #s(literal 100 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 #s(literal 100 binary64) (-.f64 x y)))) |
(*.f64 (/.f64 (+.f64 x y) #s(literal 100 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (+.f64 x y) #s(literal 100 binary64)) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal -1/100 binary64)) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) #s(literal 100 binary64))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) #s(literal 1/100 binary64))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/100 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (/.f64 (+.f64 x y) (*.f64 #s(literal 100 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 100 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) (-.f64 x y)))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1/100 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1/100 binary64) (-.f64 x y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) #s(literal -100 binary64))) |
(*.f64 #s(literal -1/100 binary64) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) |
(*.f64 #s(literal -1/100 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/100 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1/100 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) #s(literal 1/100 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal -1 binary64)) #s(literal -1/100 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (-.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) #s(literal -1/100 binary64)) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) #s(literal 100 binary64)) (/.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1/100 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1/100 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) #s(literal 1/100 binary64))) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y)) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 x y) #s(literal 1/100 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
| 1× | egg-herbie |
| 5244× | *-lowering-*.f32 |
| 5244× | *-lowering-*.f64 |
| 1672× | /-lowering-/.f32 |
| 1672× | /-lowering-/.f64 |
| 1496× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 244 | 1649 |
| 1 | 825 | 1496 |
| 2 | 2261 | 1419 |
| 0 | 8153 | 1419 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/ 100 y) |
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))) |
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(/ 100 x) |
(/ (+ 100 (* -100 (/ y x))) x) |
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) |
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x) |
(/ 100 x) |
(* -1 (/ (- (* 100 (/ y x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x)) |
(/ 100 x) |
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(/ 100 y) |
(/ (+ 100 (* -100 (/ x y))) y) |
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y) |
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y) |
(/ 100 y) |
(* -1 (/ (- (* 100 (/ x y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
100 |
100 |
100 |
100 |
100 |
100 |
100 |
100 |
100 |
100 |
100 |
100 |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
(* 100 x) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
(* -100 (/ y x)) |
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x)))) |
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x)))) |
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x)))) |
(* -100 (/ y x)) |
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y))))) |
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y))))) |
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y))))) |
(* -100 (/ y x)) |
(/ (- (* 100 x) (* 100 y)) x) |
(/ (- (* 100 x) (* 100 y)) x) |
(/ (- (* 100 x) (* 100 y)) x) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -100 (/ y x))) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(* 100 (/ y x)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(* 1/100 y) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(* 1/100 x) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(* 1/100 x) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(* 1/100 x) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(* 1/100 y) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(* 1/100 y) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
| Outputs |
|---|
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 x (/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) y)) y)) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64))))))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 100 binary64) x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+.f64 #s(literal 100 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 100 binary64) x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+.f64 #s(literal 100 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 100 binary64) x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x)) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (*.f64 #s(literal -100 binary64) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 x (/.f64 (*.f64 x (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 100 binary64) (+.f64 x (/.f64 (*.f64 x (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y)))) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(/.f64 (*.f64 #s(literal -100 binary64) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 x (/.f64 (*.f64 x (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y))) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (-.f64 (*.f64 x #s(literal -100 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -100 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) (-.f64 #s(literal 0 binary64) y)) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))) |
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) y)) y) |
(+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64)))))) |
(/ 100 x) |
(/.f64 #s(literal 100 binary64) x) |
(/ (+ 100 (* -100 (/ y x))) x) |
(/.f64 (+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) x) |
(/ (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) x) |
(/.f64 (+.f64 #s(literal 100 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 100 binary64) x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))) x) |
(/ (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) x) |
(/.f64 (-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x)) x) |
(/ 100 x) |
(/.f64 #s(literal 100 binary64) x) |
(* -1 (/ (- (* 100 (/ y x)) 100) x)) |
(/.f64 (+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) x) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 2) x)) (* 100 y)) x)) 100) x)) |
(/.f64 (+.f64 #s(literal 100 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 100 binary64) x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow y 3) x)) (* 100 (pow y 2))) x)) (* 100 y)) x)) 100) x)) |
(/.f64 (-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x)) x) |
(/ 100 x) |
(/.f64 #s(literal 100 binary64) x) |
(+ (* -100 (/ y (pow x 2))) (* 100 (/ 1 x))) |
(/.f64 (+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) x) |
(+ (* y (- (* 100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 100 binary64) x) (*.f64 y (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 x x)) (+.f64 (/.f64 y x) #s(literal -1 binary64))))) |
(+ (* y (- (* y (+ (* -100 (/ y (pow x 4))) (* 100 (/ 1 (pow x 3))))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 100 binary64) x) (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 x x)) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 y #s(literal -100 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ (+ 100 (* -100 (/ x y))) y) |
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) y)) y) |
(/ (- (+ 100 (* 100 (/ (pow x 2) (pow y 2)))) (* 100 (/ x y))) y) |
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y)) y) |
(/ (- (+ 100 (* -100 (/ (pow x 3) (pow y 3)))) (+ (* -100 (/ (pow x 2) (pow y 2))) (* 100 (/ x y)))) y) |
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -100 binary64)) (*.f64 (*.f64 x (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (/.f64 #s(literal -100 binary64) y))) y)) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(* -1 (/ (- (* 100 (/ x y)) 100) y)) |
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) y)) y) |
(* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 2) y)) (* 100 x)) y)) 100) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y)) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y)) (* 100 x)) y)) 100) y)) |
(/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -100 binary64)) (*.f64 (*.f64 x (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (/.f64 #s(literal -100 binary64) y))) y)) y) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(* y (+ 1 (/ x y))) |
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(* y (+ 1 (/ x y))) |
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
(* 100 x) |
(*.f64 #s(literal 100 binary64) x) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(* -100 (/ y x)) |
(*.f64 #s(literal -100 binary64) (/.f64 y x)) |
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x)))) |
(*.f64 y (+.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal -100 binary64) x))) |
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x)))) |
(*.f64 y (+.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal -100 binary64) x))) |
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x)))) |
(*.f64 y (+.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal -100 binary64) x))) |
(* -100 (/ y x)) |
(*.f64 #s(literal -100 binary64) (/.f64 y x)) |
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal -100 binary64) x))) |
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal -100 binary64) x))) |
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y))))) |
(*.f64 y (+.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal -100 binary64) x))) |
(* -100 (/ y x)) |
(*.f64 #s(literal -100 binary64) (/.f64 y x)) |
(/ (- (* 100 x) (* 100 y)) x) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(/ (- (* 100 x) (* 100 y)) x) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(/ (- (* 100 x) (* 100 y)) x) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(* 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) y) x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 x (/.f64 (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) y)) y)) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64))))))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 100 binary64) x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+.f64 #s(literal 100 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 100 binary64) x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+.f64 #s(literal 100 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 100 binary64) x) (+.f64 (/.f64 y x) #s(literal -1 binary64))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x))) x)) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (*.f64 #s(literal -100 binary64) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 x (/.f64 (*.f64 x (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 100 binary64) (+.f64 x (/.f64 (*.f64 x (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y)))) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(/.f64 (*.f64 #s(literal -100 binary64) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 x (/.f64 (*.f64 x (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y))) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (-.f64 (*.f64 x #s(literal -100 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -100 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) (-.f64 #s(literal 0 binary64) y)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(+ (* 1/100 x) (* 1/100 y)) |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(+ (* 1/100 x) (* 1/100 y)) |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(+ (* 1/100 x) (* 1/100 y)) |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(+ (* 1/100 x) (* 1/100 y)) |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(+ (* 1/100 x) (* 1/100 y)) |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(+ (* 1/100 x) (* 1/100 y)) |
(*.f64 (+.f64 x y) #s(literal 1/100 binary64)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(*.f64 (*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1/100 binary64)) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(*.f64 (*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1/100 binary64)) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(*.f64 (*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1/100 binary64)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(*.f64 (*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1/100 binary64)) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(*.f64 (*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1/100 binary64)) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(*.f64 (*.f64 y (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1/100 binary64)) |
Compiled 16104 to 1593 computations (90.1% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 880 | 3 | 883 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 881 | 11 | 892 |
| Status | Accuracy | Program |
|---|---|---|
| 48.2% | (/.f64 (*.f64 x #s(literal 100 binary64)) y) | |
| ✓ | 52.1% | (/.f64 (*.f64 x #s(literal 100 binary64)) x) |
| ✓ | 99.7% | (/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
| ▶ | 48.2% | (/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
| ▶ | 52.4% | (/.f64 x (*.f64 x #s(literal 1/100 binary64))) |
| ▶ | 99.4% | (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) |
| ✓ | 52.6% | (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))) |
| ▶ | 48.3% | (*.f64 (/.f64 #s(literal 100 binary64) y) x) |
| ✓ | 99.8% | (*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
| ▶ | 48.2% | (*.f64 #s(literal 100 binary64) (/.f64 x y)) |
| ✓ | 52.5% | #s(literal 100 binary64) |
Compiled 125 to 88 computations (29.6% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 1/100 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/100 binary64)) |
| ✓ | cost-diff | 256 | (/.f64 x (*.f64 x #s(literal 1/100 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 100 binary64) y) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 100 binary64) y) x) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 100 binary64) (/.f64 x y)) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x y) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) |
| 28× | *-lowering-*.f32 |
| 28× | *-lowering-*.f64 |
| 24× | /-lowering-/.f32 |
| 24× | /-lowering-/.f64 |
| 14× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 57 |
| 1 | 27 | 57 |
| 2 | 35 | 57 |
| 3 | 39 | 57 |
| 4 | 40 | 57 |
| 0 | 40 | 57 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 100 (/ (+ x y) x)) |
100 |
(/ (+ x y) x) |
(+ x y) |
x |
y |
(* 100 (/ x y)) |
100 |
(/ x y) |
x |
y |
(* (/ 100 y) x) |
(/ 100 y) |
100 |
y |
x |
(/ x (* x 1/100)) |
x |
(* x 1/100) |
1/100 |
(/ x (* y 1/100)) |
x |
(* y 1/100) |
y |
1/100 |
| Outputs |
|---|
(/ 100 (/ (+ x y) x)) |
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
100 |
#s(literal 100 binary64) |
(/ (+ x y) x) |
(/.f64 (+.f64 x y) x) |
(+ x y) |
(+.f64 x y) |
x |
y |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
100 |
#s(literal 100 binary64) |
(/ x y) |
(/.f64 x y) |
x |
y |
(* (/ 100 y) x) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
100 |
#s(literal 100 binary64) |
y |
x |
(/ x (* x 1/100)) |
#s(literal 100 binary64) |
x |
(* x 1/100) |
(*.f64 x #s(literal 1/100 binary64)) |
1/100 |
#s(literal 1/100 binary64) |
(/ x (* y 1/100)) |
(/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
x |
(* y 1/100) |
(*.f64 y #s(literal 1/100 binary64)) |
y |
1/100 |
#s(literal 1/100 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 y #s(literal 1/100 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x #s(literal 1/100 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 x (*.f64 x #s(literal 1/100 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 100 binary64) y) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 100 binary64) y) x) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 100 binary64) (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x y) x) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) |
| 81.0ms | 256× | 0 | valid |
Compiled 64 to 16 computations (75% saved)
ival-div: 15.0ms (49.2% of total)ival-mult: 8.0ms (26.2% of total)...c/correct-round.rkt:119:19: 4.0ms (13.1% of total)ival-add: 3.0ms (9.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 100 (/ (+ x y) x))> |
#<alt (/ (+ x y) x)> |
#<alt (+ x y)> |
#<alt (* 100 (/ x y))> |
#<alt (/ x y)> |
#<alt (* (/ 100 y) x)> |
#<alt (/ 100 y)> |
#<alt (/ x (* x 1/100))> |
#<alt (* x 1/100)> |
#<alt (/ x (* y 1/100))> |
#<alt (* y 1/100)> |
| Outputs |
|---|
#<alt (* 100 (/ x y))> |
#<alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))> |
#<alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))> |
#<alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))> |
#<alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))> |
#<alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))> |
#<alt 100> |
#<alt (+ 100 (* -100 (/ y x)))> |
#<alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))> |
#<alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))> |
#<alt (* 100 (/ x y))> |
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)> |
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)> |
#<alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)> |
#<alt (* 100 (/ x y))> |
#<alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))> |
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))> |
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))> |
#<alt (/ y x)> |
#<alt (/ (+ x y) x)> |
#<alt (/ (+ x y) x)> |
#<alt (/ (+ x y) x)> |
#<alt 1> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt 1> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt 1> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt (+ 1 (/ y x))> |
#<alt (/ y x)> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt (/ y x)> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt (* y (+ (/ 1 x) (/ 1 y)))> |
#<alt y> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt x> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt (+ x y)> |
#<alt y> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt (* y (+ 1 (/ x y)))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ 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 (/ x y)> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (/ 100 y)> |
#<alt (/ 100 y)> |
#<alt (/ 100 y)> |
#<alt (/ 100 y)> |
#<alt (/ 100 y)> |
#<alt (/ 100 y)> |
#<alt (/ 100 y)> |
#<alt (/ 100 y)> |
#<alt (/ 100 y)> |
#<alt (/ 100 y)> |
#<alt (/ 100 y)> |
#<alt (/ 100 y)> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt 100> |
#<alt (* 1/100 x)> |
#<alt (* 1/100 x)> |
#<alt (* 1/100 x)> |
#<alt (* 1/100 x)> |
#<alt (* 1/100 x)> |
#<alt (* 1/100 x)> |
#<alt (* 1/100 x)> |
#<alt (* 1/100 x)> |
#<alt (* 1/100 x)> |
#<alt (* 1/100 x)> |
#<alt (* 1/100 x)> |
#<alt (* 1/100 x)> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 1/100 y)> |
#<alt (* 1/100 y)> |
#<alt (* 1/100 y)> |
#<alt (* 1/100 y)> |
#<alt (* 1/100 y)> |
#<alt (* 1/100 y)> |
#<alt (* 1/100 y)> |
#<alt (* 1/100 y)> |
#<alt (* 1/100 y)> |
#<alt (* 1/100 y)> |
#<alt (* 1/100 y)> |
#<alt (* 1/100 y)> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* x 1/100) |
| 1.0ms | x | @ | 0 | (* 100 (/ x y)) |
| 0.0ms | y | @ | 0 | (* 100 (/ x y)) |
| 0.0ms | x | @ | -inf | (/ x y) |
| 0.0ms | x | @ | -inf | (* 100 (/ x y)) |
| 1× | batch-egg-rewrite |
| 3580× | *-lowering-*.f32 |
| 3580× | *-lowering-*.f64 |
| 2280× | fma-lowering-fma.f32 |
| 2280× | fma-lowering-fma.f64 |
| 1846× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 47 |
| 1 | 78 | 43 |
| 2 | 480 | 43 |
| 3 | 3632 | 43 |
| 0 | 8982 | 43 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 100 (/ (+ x y) x)) |
(/ (+ x y) x) |
(+ x y) |
(* 100 (/ x y)) |
(/ x y) |
(* (/ 100 y) x) |
(/ 100 y) |
(/ x (* x 1/100)) |
(* x 1/100) |
(/ x (* y 1/100)) |
(* y 1/100) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -100 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(neg.f64 (/.f64 #s(literal -100 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -100 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64)))) |
(/.f64 #s(literal 100 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
(/.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64))) |
(/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) |
(/.f64 (/.f64 x #s(literal 1/100 binary64)) (+.f64 x y)) |
(/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -100 binary64))) |
(/.f64 (*.f64 x #s(literal -100 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1/100 binary64) x)) |
(/.f64 (/.f64 #s(literal -100 binary64) (+.f64 x y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 x y)) |
(/.f64 (/.f64 (/.f64 x #s(literal 1/100 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (/.f64 (/.f64 x #s(literal 1/100 binary64)) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 (/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 #s(literal 100 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 100 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
(*.f64 x (/.f64 #s(literal 100 binary64) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 1 binary64)) |
(*.f64 #s(literal -100 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -100 binary64) (+.f64 x y))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 100 binary64)) |
(*.f64 (/.f64 x #s(literal 1/100 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -100 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal -100 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 x #s(literal 1/100 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 (/.f64 #s(literal 1/100 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -100 binary64) (+.f64 x y)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (*.f64 x #s(literal -100 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -100 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/100 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 100 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -100 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 x (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 x (-.f64 x y))) |
(*.f64 (/.f64 #s(literal 100 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(*.f64 (/.f64 #s(literal 100 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 100 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) #s(literal 100 binary64))) |
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(*.f64 #s(literal 1/100 binary64) y) |
(*.f64 #s(literal 1/100 binary64) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/100 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 100 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal -100 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(literal -100 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 #s(literal -1/100 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/100 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1/100 binary64)) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) #s(literal -1/100 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/100 binary64)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 2852× | *-lowering-*.f32 |
| 2852× | *-lowering-*.f64 |
| 1986× | fnmadd-define |
| 1930× | fma-lowering-fma.f32 |
| 1930× | fma-lowering-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1062 |
| 1 | 456 | 1021 |
| 2 | 1218 | 1001 |
| 3 | 4007 | 997 |
| 0 | 8279 | 997 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 100 (/ x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
100 |
(+ 100 (* -100 (/ y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(* 100 (/ x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/ y x) |
(/ (+ x y) x) |
(/ (+ x y) x) |
(/ (+ x y) x) |
1 |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
1 |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
1 |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(+ 1 (/ y x)) |
(/ y x) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(/ y x) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
(* y (+ (/ 1 x) (/ 1 y))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ 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) |
(/ x y) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
(/ 100 y) |
100 |
100 |
100 |
100 |
100 |
100 |
100 |
100 |
100 |
100 |
100 |
100 |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 1/100 x) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
(* 1/100 y) |
| Outputs |
|---|
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -100 binary64)) y) (/.f64 #s(literal 100 binary64) y))) |
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (pow.f64 y #s(literal 4 binary64))))))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 100 binary64) x) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) |
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) |
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x) y)) x)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x)) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 100 binary64) x) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) |
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) |
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x) y)) x)) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(-.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal 100 binary64) y) x)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+.f64 #s(literal 100 binary64) (*.f64 (/.f64 #s(literal 100 binary64) x) (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) |
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) |
(+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64)))) x) y)) x)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (+.f64 (*.f64 x (*.f64 (/.f64 x y) #s(literal -100 binary64))) (*.f64 #s(literal 100 binary64) x)) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) |
(/.f64 (+.f64 (*.f64 x (*.f64 (/.f64 x y) #s(literal -100 binary64))) (*.f64 #s(literal 100 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) y))))) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) |
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) y)))) (*.f64 #s(literal -100 binary64) (+.f64 (/.f64 (*.f64 x x) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y y)))))) y) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(/.f64 (+.f64 (*.f64 x (*.f64 (/.f64 x y) #s(literal -100 binary64))) (*.f64 #s(literal 100 binary64) x)) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) x) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (*.f64 x x))) y)) y)) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal 100 binary64) x) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -100 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal -100 binary64) (pow.f64 x #s(literal 4 binary64))) y)) y)) y)) y) |
(/ y x) |
(/.f64 y x) |
(/ (+ x y) x) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/ (+ x y) x) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/ (+ x y) x) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/ y x) |
(/.f64 y x) |
(* y (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(* y (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(* y (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/ y x) |
(/.f64 y x) |
(* y (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(* y (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
(* y (+ (/ 1 x) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.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) |
(/ x y) |
(/.f64 x y) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
(/ 100 y) |
(/.f64 #s(literal 100 binary64) y) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 100 (/ x y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
Compiled 11439 to 1486 computations (87% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 821 | 1 | 822 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 823 | 10 | 833 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.1% | (/.f64 (*.f64 x #s(literal 100 binary64)) x) |
| ✓ | 99.7% | (/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
| ✓ | 48.2% | (/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
| ✓ | 52.4% | (/.f64 x (*.f64 x #s(literal 1/100 binary64))) |
| ▶ | 47.8% | (/.f64 #s(literal 100 binary64) (/.f64 y x)) |
| ✓ | 52.6% | (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))) |
| ✓ | 48.3% | (*.f64 (/.f64 #s(literal 100 binary64) y) x) |
| ✓ | 99.8% | (*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
| ✓ | 48.2% | (*.f64 #s(literal 100 binary64) (/.f64 x y)) |
| ✓ | 52.5% | #s(literal 100 binary64) |
Compiled 72 to 51 computations (29.2% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 100 binary64) (/.f64 y x)) |
| 12× | *-lowering-*.f32 |
| 12× | *-lowering-*.f64 |
| 10× | /-lowering-/.f32 |
| 10× | /-lowering-/.f64 |
| 6× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 1 | 7 | 11 |
| 2 | 10 | 11 |
| 3 | 14 | 11 |
| 4 | 15 | 11 |
| 0 | 15 | 11 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 100 (/ y x)) |
100 |
(/ y x) |
y |
x |
| Outputs |
|---|
(/ 100 (/ y x)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
100 |
#s(literal 100 binary64) |
(/ y x) |
(/.f64 y x) |
y |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 100 binary64) (/.f64 y x)) |
| 19.0ms | 256× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-div: 4.0ms (87.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 100 (/ y x))> |
#<alt (/ y x)> |
| Outputs |
|---|
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (* 100 (/ x y))> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/ 100 (/ y x)) |
| 0.0ms | x | @ | inf | (/ 100 (/ y x)) |
| 0.0ms | y | @ | inf | (/ 100 (/ y x)) |
| 0.0ms | x | @ | -inf | (/ 100 (/ y x)) |
| 0.0ms | y | @ | -inf | (/ 100 (/ y x)) |
| 1× | batch-egg-rewrite |
| 1414× | *-lowering-*.f32 |
| 1414× | *-lowering-*.f64 |
| 1386× | /-lowering-/.f32 |
| 1386× | /-lowering-/.f64 |
| 1020× | frac-2neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 23 | 8 |
| 2 | 117 | 8 |
| 3 | 580 | 8 |
| 4 | 3450 | 8 |
| 0 | 9294 | 8 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 100 (/ y x)) |
(/ y x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x))) |
(+.f64 (*.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 0 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 y x))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) y)) (/.f64 #s(literal 100 binary64) (/.f64 y x))) |
(exp.f64 (log.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (*.f64 #s(literal 100 binary64) x)) (/.f64 y (*.f64 #s(literal 100 binary64) x)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (*.f64 #s(literal 100 binary64) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (*.f64 #s(literal 100 binary64) x))) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 y (*.f64 #s(literal 100 binary64) x))) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal 100 binary64))) (/.f64 #s(literal 100 binary64) (/.f64 y x))) |
(fma.f64 (/.f64 #s(literal 100 binary64) y) #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x))) |
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal 100 binary64) (/.f64 y x))) |
(neg.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x))) |
(/.f64 #s(literal 100 binary64) (/.f64 y x)) |
(/.f64 x (/.f64 y #s(literal 100 binary64))) |
(/.f64 x (*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1 binary64))) |
(/.f64 x (neg.f64 (*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -100 binary64) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 100 binary64) x))) |
(/.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal 100 binary64) x))) |
(/.f64 (/.f64 x y) #s(literal 1/100 binary64)) |
(/.f64 (/.f64 x y) #s(literal -1/100 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/100 binary64) x)) |
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 y #s(literal 100 binary64)))) |
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x x) (/.f64 y #s(literal 100 binary64))))) |
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 x x) (*.f64 x (/.f64 y #s(literal 100 binary64)))) |
(/.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 100 binary64)) x)) |
(/.f64 (*.f64 x x) (neg.f64 (*.f64 x (/.f64 y #s(literal 100 binary64))))) |
(/.f64 (*.f64 x x) (neg.f64 (*.f64 (/.f64 y #s(literal 100 binary64)) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 100 binary64)) (*.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -100 binary64)) (*.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (*.f64 x y)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -100 binary64)) (*.f64 x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 100 binary64) (*.f64 x x)) (*.f64 y x)) |
(/.f64 (*.f64 #s(literal -100 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 x x))) |
(/.f64 (*.f64 #s(literal -100 binary64) (*.f64 x x)) (*.f64 y x)) |
(/.f64 (*.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x x)) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1000000 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) (/.f64 #s(literal 100 binary64) (/.f64 y x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) (/.f64 #s(literal 100 binary64) (/.f64 y x)))) (/.f64 #s(literal 100 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 100 binary64) y)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 100 binary64) y)) x) |
(/.f64 (/.f64 #s(literal 100 binary64) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x))) |
(/.f64 (/.f64 #s(literal -100 binary64) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x))) |
(/.f64 (/.f64 (/.f64 #s(literal 100 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal 100 binary64))) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 y x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -100 binary64))) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal 100 binary64))) (*.f64 (/.f64 y #s(literal 100 binary64)) x)) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 y #s(literal 100 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 y #s(literal 100 binary64)) x)) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal 100 binary64) x))) (/.f64 y #s(literal 100 binary64))) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 y (*.f64 #s(literal 100 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 x y))) (*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1/100 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 x y))) (*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal 1/100 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 #s(literal 100 binary64) y))) (/.f64 y (*.f64 #s(literal 100 binary64) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal 100 binary64) x))) (*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 y (*.f64 #s(literal 100 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 #s(literal 1/100 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 y x)))) (/.f64 y #s(literal 100 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 #s(literal 100 binary64) (/.f64 y x)))) (*.f64 (/.f64 y #s(literal 100 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 #s(literal 100 binary64) x))) (*.f64 (/.f64 y #s(literal 100 binary64)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x x))) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 y (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 x x)))) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 y x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x x))) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 y (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 #s(literal -100 binary64) (*.f64 x x)))) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 y x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 x x))) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x x)))) (*.f64 (/.f64 y #s(literal 100 binary64)) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 100 binary64)) x)) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 x x))) (*.f64 (/.f64 y #s(literal 100 binary64)) (*.f64 (/.f64 y #s(literal 100 binary64)) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 y x))) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 #s(literal -100 binary64) (sqrt.f64 (/.f64 y x))))) (*.f64 (/.f64 y #s(literal 100 binary64)) (sqrt.f64 (/.f64 y x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 y #s(literal 100 binary64)) (/.f64 (/.f64 #s(literal 100 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))) (*.f64 (/.f64 y #s(literal 100 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 100 binary64))) (neg.f64 (*.f64 (*.f64 x x) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -100 binary64))) (neg.f64 (*.f64 (*.f64 x x) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64))) (neg.f64 (*.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -100 binary64))) (neg.f64 (*.f64 x y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 y (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (*.f64 x x))) (neg.f64 (*.f64 y x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 y (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -100 binary64) (*.f64 x x))) (neg.f64 (*.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 100 binary64) y) (*.f64 x x))) x) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1000000 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) (/.f64 #s(literal 100 binary64) (/.f64 y x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) (/.f64 #s(literal 100 binary64) (/.f64 y x))))) (/.f64 #s(literal 100 binary64) (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 100 binary64) y))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 100 binary64) y))) x) |
(/.f64 (neg.f64 (/.f64 #s(literal 100 binary64) (sqrt.f64 (/.f64 y x)))) (neg.f64 (sqrt.f64 (/.f64 y x)))) |
(/.f64 (neg.f64 (/.f64 #s(literal -100 binary64) (sqrt.f64 (/.f64 y x)))) (neg.f64 (sqrt.f64 (/.f64 y x)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 100 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(pow.f64 (/.f64 y (*.f64 #s(literal 100 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y (*.f64 #s(literal 100 binary64) x)) (/.f64 y (*.f64 #s(literal 100 binary64) x))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) (/.f64 #s(literal 100 binary64) (/.f64 y x))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 #s(literal 100 binary64) x)))) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(*.f64 x (/.f64 #s(literal 100 binary64) y)) |
(*.f64 #s(literal -100 binary64) (/.f64 x y)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x))) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 100 binary64) (/.f64 y x))) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(*.f64 (/.f64 x y) #s(literal -100 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 100 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/100 binary64))) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 100 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 100 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1/100 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x))) (sqrt.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 100 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 100 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 100 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -100 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)))) (sqrt.f64 (/.f64 #s(literal 100 binary64) (/.f64 y x)))) |
(*.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -100 binary64) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 y (*.f64 y y))) (*.f64 y y)) |
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (*.f64 y y)) y) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (/.f64 y (*.f64 x (/.f64 x y)))) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 y (*.f64 x (/.f64 x y)))) (/.f64 y x)) |
(+.f64 (/.f64 y x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 y x)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (/.f64 y x)) |
(exp.f64 (log.f64 (/.f64 y x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal -1/2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)) (log.f64 (/.f64 y (*.f64 x (/.f64 x y)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 y x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (/.f64 x y)))) (/.f64 y x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 y x)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) y #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64) (/.f64 y x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 x y) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 y x)) (neg.f64 (sqrt.f64 (/.f64 y x))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (/.f64 y x)) (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 y (*.f64 x (*.f64 x x))) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 y (*.f64 x x)) x #s(literal 0 binary64)) |
(neg.f64 (/.f64 y x)) |
(/.f64 y x) |
(/.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (/.f64 y x) (exp.f64 (log.f64 #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (/.f64 y (*.f64 x (/.f64 x y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y x) (/.f64 y (*.f64 x (/.f64 x y)))))) |
(/.f64 (*.f64 y y) (*.f64 x y)) |
(/.f64 (*.f64 y y) (*.f64 y x)) |
(/.f64 (*.f64 y y) (neg.f64 (*.f64 x y))) |
(/.f64 (*.f64 y y) (neg.f64 (*.f64 y x))) |
(/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 y (*.f64 x (/.f64 x y)))) |
(/.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 y x)) |
(/.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 y y))) |
(/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 (*.f64 y y) x))) |
(/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 x (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y x))) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (/.f64 x y)))) (*.f64 x (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (*.f64 x (/.f64 y (*.f64 x (/.f64 x y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y (*.f64 x (/.f64 x y))))) (*.f64 x (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (neg.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y y))) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y)) y) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y))) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 x y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (/.f64 x y)))) (*.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 y (*.f64 x (/.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y x)))) x) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y))) (*.f64 x x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) x)) (neg.f64 (*.f64 x (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (*.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))) y) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))) (*.f64 y y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x))) y) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x (/.f64 x y)))) (*.f64 x (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 x (/.f64 y (*.f64 x (/.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y (*.f64 x (/.f64 x y)))))) (neg.f64 (*.f64 x (/.f64 y x)))) |
(pow.f64 (/.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (*.f64 x (/.f64 x y))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y x) (/.f64 y (*.f64 x (/.f64 x y)))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 y x))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x y))) |
(*.f64 y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 (/.f64 y x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(*.f64 #s(literal -1 binary64) (/.f64 y x)) |
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (/.f64 y (*.f64 x (/.f64 x y))) (/.f64 x y)) |
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x))) |
(*.f64 (sqrt.f64 (/.f64 y x)) (neg.f64 (sqrt.f64 (/.f64 y x)))) |
(*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 y x)) (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x))) |
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x))) |
(*.f64 (/.f64 y (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 y (*.f64 x x)) x) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 y x)) |
| 1× | egg-herbie |
| 12× | *-lowering-*.f32 |
| 12× | *-lowering-*.f64 |
| 8× | /-lowering-/.f32 |
| 8× | /-lowering-/.f64 |
| 6× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 192 |
| 1 | 9 | 192 |
| 2 | 11 | 192 |
| 3 | 13 | 192 |
| 4 | 14 | 192 |
| 0 | 14 | 192 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(* 100 (/ x y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
| Outputs |
|---|
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
Compiled 3263 to 599 computations (81.6% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 286 | 0 | 286 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 286 | 10 | 296 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.1% | (/.f64 (*.f64 x #s(literal 100 binary64)) x) |
| ✓ | 99.7% | (/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
| ✓ | 48.2% | (/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
| ✓ | 52.4% | (/.f64 x (*.f64 x #s(literal 1/100 binary64))) |
| ✓ | 47.8% | (/.f64 #s(literal 100 binary64) (/.f64 y x)) |
| ✓ | 52.6% | (-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))) |
| ✓ | 48.3% | (*.f64 (/.f64 #s(literal 100 binary64) y) x) |
| ✓ | 99.8% | (*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
| ✓ | 48.2% | (*.f64 #s(literal 100 binary64) (/.f64 x y)) |
| ✓ | 52.5% | #s(literal 100 binary64) |
Compiled 152 to 80 computations (47.4% saved)
| Inputs |
|---|
#s(literal 100 binary64) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/.f64 #s(literal 100 binary64) (/.f64 y x)) |
(/.f64 x (*.f64 x #s(literal 1/100 binary64))) |
(/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
(/.f64 (*.f64 x #s(literal 100 binary64)) x) |
(/.f64 (*.f64 x #s(literal 100 binary64)) y) |
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 y x))) |
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) |
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
3 calls:
| 5.0ms | x |
| 5.0ms | y |
| 4.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(literal 100 binary64) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/.f64 #s(literal 100 binary64) (/.f64 y x)) |
(/.f64 x (*.f64 x #s(literal 1/100 binary64))) |
(/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
(/.f64 (*.f64 x #s(literal 100 binary64)) x) |
(/.f64 (*.f64 x #s(literal 100 binary64)) y) |
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
2 calls:
| 10.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 100 binary64) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(/.f64 #s(literal 100 binary64) (/.f64 y x)) |
(/.f64 x (*.f64 x #s(literal 1/100 binary64))) |
(/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
(/.f64 (*.f64 x #s(literal 100 binary64)) x) |
(/.f64 (*.f64 x #s(literal 100 binary64)) y) |
| Outputs |
|---|
#s(literal 100 binary64) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
#s(literal 100 binary64) |
2 calls:
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.3% | 3 | x |
| 76.8% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 100 binary64) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
| Outputs |
|---|
#s(literal 100 binary64) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
#s(literal 100 binary64) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 100 binary64) |
| Outputs |
|---|
#s(literal 100 binary64) |
2 calls:
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 1 | y |
| 52.5% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 7.14332140864527e+29 | 9.871866477472131e+33 |
| 14.0ms | -2.4186348194344354e+39 | -1.395919900318071e+38 |
| 17.0ms | 240× | 0 | valid |
Compiled 194 to 160 computations (17.5% saved)
ival-mult: 6.0ms (61.9% of total)ival-div: 2.0ms (20.6% of total)ival-add: 1.0ms (10.3% 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 |
|---|---|---|
| 11.0ms | 7.14332140864527e+29 | 9.871866477472131e+33 |
| 10.0ms | -2.4186348194344354e+39 | -1.395919900318071e+38 |
| 13.0ms | 240× | 0 | valid |
Compiled 194 to 160 computations (17.5% saved)
ival-div: 2.0ms (37.8% of total)ival-mult: 2.0ms (37.8% of total)ival-add: 1.0ms (18.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 4× | if-if-or-not_binary32 |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 45 |
| 1 | 35 | 45 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
(if (<=.f64 x #s(literal -849999999999999971420150533636998823936 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 154999999999999996608192385646592 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) y) x) #s(literal 100 binary64))) |
(if (<=.f64 x #s(literal -329999999999999990682125824257054212096 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 380000000000000031200055482384384 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 x y)) #s(literal 100 binary64))) |
#s(literal 100 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
(*.f64 x (/.f64 #s(literal 100 binary64) (+.f64 x y))) |
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
(if (<=.f64 x #s(literal -849999999999999971420150533636998823936 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 154999999999999996608192385646592 binary64)) (*.f64 (/.f64 #s(literal 100 binary64) y) x) #s(literal 100 binary64))) |
(if (<=.f64 x #s(literal -849999999999999971420150533636998823936 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 154999999999999996608192385646592 binary64)) (*.f64 x (/.f64 #s(literal 100 binary64) y)) #s(literal 100 binary64))) |
(if (<=.f64 x #s(literal -329999999999999990682125824257054212096 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 380000000000000031200055482384384 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 x y)) #s(literal 100 binary64))) |
#s(literal 100 binary64) |
| 5244× | *-lowering-*.f32 |
| 5244× | *-lowering-*.f64 |
| 3882× | *-lowering-*.f32 |
| 3882× | *-lowering-*.f64 |
| 3364× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 10 | 7 |
| 2 | 13 | 7 |
| 3 | 14 | 7 |
| 0 | 14 | 7 |
| 0 | 219 | 1132 |
| 1 | 735 | 1001 |
| 2 | 2010 | 941 |
| 3 | 7317 | 941 |
| 0 | 8203 | 941 |
| 0 | 8 | 25 |
| 1 | 40 | 25 |
| 2 | 272 | 25 |
| 3 | 2684 | 25 |
| 0 | 8652 | 25 |
| 0 | 244 | 1649 |
| 1 | 825 | 1496 |
| 2 | 2261 | 1419 |
| 0 | 8153 | 1419 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
Compiled 151 to 97 computations (35.8% saved)
Compiled 134 to 76 computations (43.3% saved)
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