
Time bar (total: 6.4s)
| 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: 3.0ms (39.6% of total)ival-div: 2.0ms (26.4% of total)ival-add: 2.0ms (26.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 468.0ms | 8256× | 0 | valid |
ival-mult: 94.0ms (38.6% of total)ival-div: 90.0ms (37% of total)ival-add: 46.0ms (18.9% of total)const: 11.0ms (4.5% of total)backward-pass: 3.0ms (1.2% 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 |
| 43.0ms | 512× | 0 | valid |
Compiled 47 to 20 computations (57.4% saved)
ival-mult: 9.0ms (49.6% of total)ival-div: 4.0ms (22% of total)ival-add: 4.0ms (22% of total)const: 1.0ms (5.5% of total)backward-pass: 0.0ms (0% of total)Compiled 9 to 6 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ▶ | 99.9% | (*.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 | 99.3% | (/.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))) |
| 49.0ms | 256× | 0 | valid |
Compiled 37 to 9 computations (75.7% saved)
ival-add: 28.0ms (79.5% of total)ival-div: 4.0ms (11.4% of total)ival-mult: 3.0ms (8.5% 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 | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (* 100 (/ x (+ x y))) |
| 0.0ms | x | @ | 0 | (* 100 (/ x (+ x y))) |
| 0.0ms | x | @ | inf | (* 100 (/ x (+ x y))) |
| 0.0ms | x | @ | 0 | (* x 100) |
| 0.0ms | y | @ | -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)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 718 | 6 | 724 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 719 | 7 | 726 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.3% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ▶ | 52.7% | (/.f64 (*.f64 x #s(literal 100 binary64)) y) |
| ▶ | 48.1% | (/.f64 (*.f64 x #s(literal 100 binary64)) x) |
| ▶ | 99.7% | (/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
| 99.6% | (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) | |
| ▶ | 52.7% | (*.f64 #s(literal 100 binary64) (/.f64 x y)) |
| ▶ | 48.5% | #s(literal 100 binary64) |
Compiled 93 to 66 computations (29% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 100 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal 100 binary64)) y) |
| ✓ | 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 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))) |
| 20× | *-lowering-*.f32 |
| 20× | *-lowering-*.f64 |
| 18× | /-lowering-/.f32 |
| 18× | /-lowering-/.f64 |
| 14× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 1 | 21 | 47 |
| 2 | 27 | 47 |
| 3 | 31 | 47 |
| 4 | 34 | 47 |
| 0 | 34 | 47 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x (/ (+ x y) 100)) |
x |
(/ (+ x y) 100) |
(+ x y) |
y |
100 |
100 |
(* 100 (/ x y)) |
100 |
(/ x y) |
x |
y |
(/ (* x 100) x) |
(* x 100) |
x |
100 |
(/ (* x 100) y) |
(* x 100) |
x |
100 |
y |
| Outputs |
|---|
(/ x (/ (+ x y) 100)) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
x |
(/ (+ x y) 100) |
(/.f64 (+.f64 x y) #s(literal 100 binary64)) |
(+ x y) |
(+.f64 x y) |
y |
100 |
#s(literal 100 binary64) |
100 |
#s(literal 100 binary64) |
(* 100 (/ x y)) |
(/.f64 (*.f64 x #s(literal 100 binary64)) y) |
100 |
#s(literal 100 binary64) |
(/ x y) |
(/.f64 x y) |
x |
y |
(/ (* x 100) x) |
#s(literal 100 binary64) |
(* x 100) |
(*.f64 x #s(literal 100 binary64)) |
x |
100 |
#s(literal 100 binary64) |
(/ (* x 100) y) |
(/.f64 (*.f64 x #s(literal 100 binary64)) y) |
(* x 100) |
(*.f64 x #s(literal 100 binary64)) |
x |
100 |
#s(literal 100 binary64) |
y |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 100 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 x #s(literal 100 binary64)) y) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 100 binary64)) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 x #s(literal 100 binary64)) 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) #s(literal 100 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
| 36.0ms | 256× | 0 | valid |
Compiled 54 to 12 computations (77.8% saved)
ival-div: 9.0ms (60.1% of total)ival-mult: 3.0ms (20% of total)ival-add: 2.0ms (13.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ x (/ (+ x y) 100))> |
#<alt (/ (+ x y) 100)> |
#<alt (+ x y)> |
#<alt (* 100 (/ x y))> |
#<alt (/ x y)> |
#<alt (/ (* x 100) x)> |
#<alt (* x 100)> |
#<alt (/ (* x 100) y)> |
| 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 (* 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)))> |
#<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> |
#<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 (/ 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))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (* 100 (/ x y)) |
| 1.0ms | x | @ | inf | (* 100 (/ x y)) |
| 0.0ms | x | @ | 0 | (* 100 (/ x y)) |
| 0.0ms | y | @ | inf | (* 100 (/ x y)) |
| 0.0ms | x | @ | -inf | (* 100 (/ x y)) |
| 1× | batch-egg-rewrite |
| 3348× | *-lowering-*.f32 |
| 3348× | *-lowering-*.f64 |
| 2230× | fma-lowering-fma.f32 |
| 2230× | fma-lowering-fma.f64 |
| 1682× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 1 | 67 | 36 |
| 2 | 400 | 32 |
| 3 | 3277 | 32 |
| 0 | 8429 | 32 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (/ (+ x y) 100)) |
(/ (+ x y) 100) |
(+ x y) |
(* 100 (/ x y)) |
(/ x y) |
(/ (* x 100) x) |
(* x 100) |
(/ (* x 100) y) |
| Outputs |
|---|
(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 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 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 x y) #s(literal -100 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 x y) #s(literal 100 binary64)) x))) |
(/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) |
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 x y) x)) |
(/.f64 (/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.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) x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x y) #s(literal 100 binary64)) x)) |
(/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1/100 binary64) x)) |
(/.f64 (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y)) #s(literal -1/100 binary64)) |
(/.f64 (/.f64 x #s(literal 1/100 binary64)) (+.f64 x y)) |
(/.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 x #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 x #s(literal 100 binary64)) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(pow.f64 (/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 x y) #s(literal 100 binary64)) x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 100 binary64) (+.f64 x y))) |
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
(*.f64 (/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -100 binary64) (+.f64 x y))) |
(*.f64 #s(literal -100 binary64) (/.f64 x (-.f64 (-.f64 #s(literal 0 binary64) x) y))) |
(*.f64 #s(literal -100 binary64) (pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 x y) #s(literal 100 binary64)))) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x) |
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.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 (/.f64 #s(literal -100 binary64) (+.f64 x y)) (-.f64 #s(literal 0 binary64) 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 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))) |
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(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -100 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) y)) |
(*.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -100 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 y #s(literal -100 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -100 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) |
(/.f64 x y) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
#s(literal 100 binary64) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/100 binary64) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -100 binary64))) |
(neg.f64 (*.f64 x #s(literal -100 binary64))) |
(pow.f64 (*.f64 x #s(literal 100 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/100 binary64) x) #s(literal -1 binary64)) |
(*.f64 x #s(literal 100 binary64)) |
(*.f64 #s(literal 100 binary64) x) |
(*.f64 (*.f64 x #s(literal 100 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -100 binary64)) |
(*.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 100 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -100 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 #s(literal 1/100 binary64) x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 x #s(literal -100 binary64)) y)) |
(neg.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) y)) |
(neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 100 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal 1/100 binary64) x)))) |
(/.f64 x (/.f64 y #s(literal 100 binary64))) |
(/.f64 #s(literal 100 binary64) (/.f64 y x)) |
(/.f64 (*.f64 x #s(literal 100 binary64)) y) |
(/.f64 (*.f64 x #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 #s(literal -100 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal 1/100 binary64) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/100 binary64) x)) |
(/.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x #s(literal -100 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -100 binary64))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 (*.f64 x #s(literal -100 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) #s(literal -1 binary64)) y) |
(pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 y (/.f64 #s(literal 1/100 binary64) x)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 100 binary64) y)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(*.f64 (*.f64 x #s(literal 100 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 100 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (*.f64 x #s(literal -100 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -100 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 100 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) 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) y) x) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -100 binary64)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -100 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -100 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -100 binary64) y)) |
(*.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 y #s(literal 100 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -100 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 y #s(literal -100 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -100 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
| 1× | egg-herbie |
| 3762× | *-lowering-*.f32 |
| 3762× | *-lowering-*.f64 |
| 1970× | fma-lowering-fma.f32 |
| 1970× | fma-lowering-fma.f64 |
| 1470× | fmsub-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 876 |
| 1 | 503 | 835 |
| 2 | 1354 | 815 |
| 3 | 4385 | 813 |
| 0 | 8430 | 813 |
| 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)) |
(* 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))) |
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 |
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 (/ 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)) |
| 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 #s(literal -100 binary64)) 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 #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 #s(literal 100 binary64) (/.f64 y x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 (*.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 #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 #s(literal 100 binary64) (/.f64 y x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 (*.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 (/.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 #s(literal 100 binary64) (/.f64 y x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (/.f64 (*.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 #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 #s(literal -100 binary64) (/.f64 (*.f64 x x) 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 #s(literal -100 binary64) (/.f64 (*.f64 x x) y)) (*.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 #s(literal -100 binary64) (/.f64 (*.f64 x x) 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 #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 (+.f64 (*.f64 #s(literal -100 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 100 binary64) y) (pow.f64 x #s(literal 4 binary64)))) y) (*.f64 #s(literal 100 binary64) (*.f64 x x))) y)) y) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(+ (* 1/100 x) (* 1/100 y)) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(* x (+ 1/100 (* 1/100 (/ y x)))) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(* -1 (* x (- (* -1/100 (/ y x)) 1/100))) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(* 1/100 x) |
(*.f64 x #s(literal 1/100 binary64)) |
(+ (* 1/100 x) (* 1/100 y)) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(+ (* 1/100 x) (* 1/100 y)) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(* y (+ 1/100 (* 1/100 (/ x y)))) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(* 1/100 y) |
(*.f64 y #s(literal 1/100 binary64)) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x y)) |
(* -1 (* y (- (* -1/100 (/ x y)) 1/100))) |
(*.f64 #s(literal 1/100 binary64) (+.f64 x 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 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 |
#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 (/ 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)) |
Compiled 9779 to 1286 computations (86.8% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 645 | 2 | 647 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 647 | 7 | 654 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) |
| ✓ | 99.3% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ✓ | 52.7% | (/.f64 (*.f64 x #s(literal 100 binary64)) y) |
| ✓ | 48.1% | (/.f64 (*.f64 x #s(literal 100 binary64)) x) |
| ▶ | 52.7% | (/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
| ✓ | 52.7% | (*.f64 #s(literal 100 binary64) (/.f64 x y)) |
| ✓ | 48.5% | #s(literal 100 binary64) |
Compiled 49 to 35 computations (28.6% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 x y)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 1/100 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
| 18× | /-lowering-/.f32 |
| 18× | /-lowering-/.f64 |
| 12× | fma-define |
| 12× | *-lowering-*.f32 |
| 12× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 1 | 14 | 29 |
| 2 | 24 | 29 |
| 3 | 30 | 29 |
| 0 | 30 | 29 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ x (* y 1/100)) |
x |
(* y 1/100) |
y |
1/100 |
(/ (/ x (+ x y)) 1/100) |
(/ x (+ x y)) |
x |
(+ x y) |
y |
1/100 |
| Outputs |
|---|
(/ 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) |
(/ (/ x (+ x y)) 1/100) |
(/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) |
(/ x (+ x y)) |
(/.f64 x (+.f64 x y)) |
x |
(+ x y) |
(+.f64 x y) |
y |
1/100 |
#s(literal 1/100 binary64) |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 x y)) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 y #s(literal 1/100 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
| 56.0ms | 256× | 0 | valid |
Compiled 32 to 9 computations (71.9% saved)
ival-div: 7.0ms (46.1% of total)...c/correct-round.rkt:119:19: 4.0ms (26.3% of total)ival-mult: 3.0ms (19.7% of total)ival-add: 1.0ms (6.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ x (* y 1/100))> |
#<alt (* y 1/100)> |
#<alt (/ (/ x (+ x y)) 1/100)> |
#<alt (/ x (+ x y))> |
#<alt (+ x y)> |
| 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 (* 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)> |
#<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)))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (* y 1/100) |
| 0.0ms | y | @ | -inf | (* y 1/100) |
| 0.0ms | y | @ | 0 | (* y 1/100) |
| 0.0ms | x | @ | 0 | (/ x (* y 1/100)) |
| 0.0ms | x | @ | 0 | (/ x (+ x y)) |
| 1× | batch-egg-rewrite |
| 3120× | *-lowering-*.f32 |
| 3120× | *-lowering-*.f64 |
| 2554× | fma-lowering-fma.f32 |
| 2554× | fma-lowering-fma.f64 |
| 1594× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 50 | 23 |
| 2 | 341 | 23 |
| 3 | 3010 | 23 |
| 0 | 8199 | 23 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (* y 1/100)) |
(* y 1/100) |
(/ (/ x (+ x y)) 1/100) |
(/ x (+ x y)) |
(+ x y) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/100 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -1/100 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/100 binary64))) (/.f64 x (*.f64 y #s(literal -1/100 binary64)))) |
(neg.f64 (/.f64 x (*.f64 y #s(literal -1/100 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -1/100 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/100 binary64) (/.f64 x y)))) |
(/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -1/100 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 1/100 binary64)))) |
(/.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 100 binary64) (/.f64 y x)) |
(/.f64 (/.f64 x y) #s(literal 1/100 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -1/100 binary64)) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1/100 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/100 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 x #s(literal 1/100 binary64)) y) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (*.f64 y #s(literal 1/100 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/100 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 y #s(literal -1/100 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 y #s(literal -1/100 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/100 binary64))) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal -1/100 binary64)) |
(pow.f64 (/.f64 x (*.f64 y #s(literal 1/100 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/100 binary64) (/.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (/.f64 x #s(literal 1/100 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 1/100 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 x (/.f64 #s(literal 100 binary64) y)) |
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(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(/.f64 (+.f64 x y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal -1 binary64)) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(/.f64 (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (-.f64 x y))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(/.f64 (-.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 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (-.f64 x y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 x y) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (-.f64 x y) (+.f64 (*.f64 x x) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 x y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 x y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (-.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (+.f64 (*.f64 x x) (*.f64 y y))) |
(pow.f64 (+.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 y x) (-.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x y) #s(literal 1 binary64)) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (/.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x y)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y y) (*.f64 (-.f64 y x) (-.f64 y x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
| 1× | egg-herbie |
| 3902× | *-lowering-*.f32 |
| 3902× | *-lowering-*.f64 |
| 2156× | /-lowering-/.f32 |
| 2156× | /-lowering-/.f64 |
| 1398× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 907 |
| 1 | 738 | 818 |
| 2 | 2018 | 774 |
| 3 | 7358 | 774 |
| 0 | 8244 | 774 |
| 1× | iter limit |
| 1× | node limit |
| 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)) |
(* 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) |
(* 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))) |
| 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) |
(* 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)) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 (*.f64 x (/.f64 #s(literal -100 binary64) 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 (*.f64 #s(literal 100 binary64) y) x)) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 (*.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 y #s(literal -100 binary64)) x) (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (*.f64 x 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 #s(literal -100 binary64) (/.f64 (*.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 (*.f64 #s(literal 100 binary64) y) x)) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (/.f64 (*.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 y #s(literal -100 binary64)) x) (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) (*.f64 x x)))) |
(* 100 (/ x y)) |
(/.f64 (*.f64 #s(literal 100 binary64) x) y) |
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) |
(/.f64 (+.f64 (*.f64 #s(literal -100 binary64) (/.f64 (*.f64 x x) 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 #s(literal -100 binary64) (/.f64 (*.f64 x x) 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 (*.f64 #s(literal 100 binary64) x) y) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(/.f64 (+.f64 (*.f64 #s(literal -100 binary64) (/.f64 (*.f64 x x) 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 #s(literal 100 binary64) (/.f64 (*.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 #s(literal -100 binary64) (/.f64 (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 (/.f64 x (*.f64 y 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 (/.f64 #s(literal 1 binary64) 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 (*.f64 x x) (+.f64 (/.f64 x y) #s(literal -1 binary64))) y)) y) |
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) y) (*.f64 (*.f64 x x) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y) x) 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 (*.f64 x x) (+.f64 (/.f64 x y) #s(literal -1 binary64))) y)) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) y) (*.f64 (*.f64 x x) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) y) x) 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))) |
Compiled 8379 to 1199 computations (85.7% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 473 | 2 | 475 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 1 | 4 | 5 |
| Total | 474 | 8 | 482 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) |
| ▶ | 99.5% | (/.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))) #s(literal 1/100 binary64)) |
| ▶ | 52.7% | (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) |
| ✓ | 99.3% | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| ✓ | 52.7% | (/.f64 (*.f64 x #s(literal 100 binary64)) y) |
| ✓ | 48.1% | (/.f64 (*.f64 x #s(literal 100 binary64)) x) |
| ✓ | 52.7% | (/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
| ✓ | 48.5% | #s(literal 100 binary64) |
Compiled 62 to 44 computations (29% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 y x)) |
| ✓ | cost-diff | 256 | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ✓ | cost-diff | 256 | (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))) #s(literal 1/100 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) |
| 5440× | *-lowering-*.f32 |
| 5440× | *-lowering-*.f64 |
| 2804× | associate-/r/ |
| 1894× | fma-define |
| 1562× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 50 |
| 1 | 27 | 46 |
| 2 | 61 | 41 |
| 3 | 190 | 38 |
| 4 | 464 | 38 |
| 5 | 942 | 38 |
| 6 | 2407 | 38 |
| 7 | 2642 | 38 |
| 8 | 2766 | 38 |
| 9 | 2803 | 38 |
| 10 | 2841 | 38 |
| 11 | 2913 | 38 |
| 12 | 3662 | 38 |
| 13 | 4338 | 38 |
| 14 | 5185 | 38 |
| 15 | 5692 | 38 |
| 16 | 7135 | 38 |
| 17 | 7565 | 38 |
| 0 | 8054 | 38 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ x y) 1/100) |
(/ x y) |
x |
y |
1/100 |
(/ (/ x (* x (+ 1 (/ y x)))) 1/100) |
(/ x (* x (+ 1 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(+ 1 (/ y x)) |
1 |
(/ y x) |
y |
1/100 |
| Outputs |
|---|
(/ (/ x y) 1/100) |
(/.f64 x (*.f64 #s(literal 1/100 binary64) y)) |
(/ x y) |
(/.f64 x y) |
x |
y |
1/100 |
#s(literal 1/100 binary64) |
(/ (/ x (* x (+ 1 (/ y x)))) 1/100) |
(/.f64 #s(literal 100 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/ x (* x (+ 1 (/ y x)))) |
(/.f64 x (+.f64 x y)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(+ 1 (/ y x)) |
(+.f64 #s(literal 1 binary64) (/.f64 y x)) |
1 |
#s(literal 1 binary64) |
(/ y x) |
(/.f64 y x) |
y |
1/100 |
#s(literal 1/100 binary64) |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 y x)) |
| ✓ | accuracy | 100.0% | (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
| ✓ | accuracy | 99.8% | (/.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))) #s(literal 1/100 binary64)) |
| ✓ | accuracy | 87.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 99.6% | (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) |
| 36.0ms | 256× | 0 | valid |
Compiled 53 to 12 computations (77.4% saved)
ival-div: 11.0ms (58.1% of total)...c/correct-round.rkt:119:19: 4.0ms (21.1% of total)ival-mult: 2.0ms (10.6% of total)ival-add: 1.0ms (5.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ x y) 1/100)> |
#<alt (/ x y)> |
#<alt (/ (/ x (* x (+ 1 (/ y x)))) 1/100)> |
#<alt (/ x (* x (+ 1 (/ y x))))> |
#<alt (* x (+ 1 (/ y x)))> |
#<alt (+ 1 (/ 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 (/ 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 (* 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 x) (* 100 (/ (pow x 3) (pow y 2)))) (* 100 (/ (pow x 2) y))) y)> |
#<alt (/ (- (+ (* -100 (/ (pow x 4) (pow y 3))) (* 100 x)) (+ (* -100 (/ (pow x 3) (pow y 2))) (* 100 (/ (pow x 2) y)))) y)> |
#<alt (* 100 (/ x y))> |
#<alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))> |
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y))) y))> |
#<alt (* -1 (/ (+ (* -100 x) (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 4) y)) (* 100 (pow x 3))) y)) (* 100 (pow x 2))) 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 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 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))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (* x (+ 1 (/ y x))) |
| 0.0ms | x | @ | 0 | (/ (/ x (* x (+ 1 (/ y x)))) 1/100) |
| 0.0ms | x | @ | 0 | (* x (+ 1 (/ y x))) |
| 0.0ms | y | @ | inf | (/ (/ x (* x (+ 1 (/ y x)))) 1/100) |
| 0.0ms | y | @ | -inf | (/ (/ x (* x (+ 1 (/ y x)))) 1/100) |
| 1× | batch-egg-rewrite |
| 2944× | *-lowering-*.f32 |
| 2944× | *-lowering-*.f64 |
| 2688× | /-lowering-/.f32 |
| 2688× | /-lowering-/.f64 |
| 1348× | frac-times |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 70 | 34 |
| 2 | 536 | 28 |
| 3 | 7186 | 28 |
| 0 | 8107 | 28 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ x y) 1/100) |
(/ x y) |
(/ (/ x (* x (+ 1 (/ y x)))) 1/100) |
(/ x (* x (+ 1 (/ y x)))) |
(* x (+ 1 (/ y x))) |
(+ 1 (/ y x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/100 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x y) #s(literal -1/100 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/100 binary64))) (/.f64 (/.f64 x y) #s(literal -1/100 binary64))) |
(neg.f64 (/.f64 (/.f64 x y) #s(literal -1/100 binary64))) |
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 100 binary64))) |
(neg.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal 1/100 binary64)))) |
(neg.f64 (/.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64)) y)) |
(/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
(/.f64 x (neg.f64 (*.f64 y #s(literal -1/100 binary64)))) |
(/.f64 x (*.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (/.f64 x y) #s(literal 1/100 binary64)) |
(/.f64 (/.f64 x (*.f64 y #s(literal 1/100 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/100 binary64) (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 1/100 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -1/100 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1/100 binary64)) |
(/.f64 #s(literal 100 binary64) (/.f64 y x)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/100 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/100 binary64) (/.f64 x y))) |
(/.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 x #s(literal 1/100 binary64)) y) |
(/.f64 (/.f64 #s(literal 100 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64))) y) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/100 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 x #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -100 binary64)) y) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/100 binary64) x)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64)) #s(literal -1 binary64)) y) |
(/.f64 (/.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) x)) y) |
(/.f64 (/.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 (/.f64 #s(literal 1/100 binary64) (/.f64 x y)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 100 binary64) y)) |
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64))) |
(*.f64 (/.f64 x y) #s(literal 100 binary64)) |
(*.f64 (/.f64 x (*.f64 y #s(literal 1/100 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/100 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/100 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 100 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -100 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/100 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/100 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -100 binary64)) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/100 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) #s(literal -1/100 binary64))) |
(*.f64 #s(literal -100 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/100 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x #s(literal 1/100 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 100 binary64) y) x) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/100 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/100 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/100 binary64) (/.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/100 binary64) (/.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 #s(literal 100 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(/.f64 x y) |
(/.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (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 -1 binary64) y) #s(literal -1 binary64)) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/100 binary64) (/.f64 #s(literal 1/100 binary64) (/.f64 x y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (+.f64 x y) #s(literal -1/100 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) #s(literal -1/100 binary64))) (/.f64 x (*.f64 (+.f64 x y) #s(literal -1/100 binary64)))) |
(neg.f64 (/.f64 x (*.f64 (+.f64 x y) #s(literal -1/100 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 100 binary64))) |
(neg.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 1/100 binary64) (+.f64 x y)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64)) (+.f64 x y))) |
(/.f64 x (*.f64 #s(literal 1/100 binary64) (+.f64 x y))) |
(/.f64 x (neg.f64 (*.f64 (+.f64 x y) #s(literal -1/100 binary64)))) |
(/.f64 x (*.f64 #s(literal -1/100 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/100 binary64) (/.f64 #s(literal 1/100 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (/.f64 x #s(literal 1/100 binary64)))) |
(/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) |
(/.f64 (/.f64 #s(literal 100 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal -1/100 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 x y) #s(literal -1/100 binary64))) |
(/.f64 #s(literal 100 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/100 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(/.f64 #s(literal -100 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x y))) |
(/.f64 (/.f64 x #s(literal 1/100 binary64)) (+.f64 x y)) |
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (*.f64 x #s(literal 1/100 binary64))) |
(/.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64))) (+.f64 x y)) |
(/.f64 (/.f64 x (+.f64 #s(literal 1/100 binary64) (/.f64 #s(literal 1/100 binary64) (/.f64 x y)))) x) |
(/.f64 (/.f64 x (*.f64 x #s(literal 1/100 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 (/.f64 #s(literal 100 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/100 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x y))) |
(/.f64 (*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))) x) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 100 binary64)) x) |
(/.f64 (*.f64 x #s(literal -100 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -100 binary64)) (+.f64 x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/100 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 x y))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x)))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x y))) |
(/.f64 (+.f64 (/.f64 y (/.f64 x (/.f64 y x))) #s(literal -1 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (/.f64 y (/.f64 x (/.f64 y x))) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 x (/.f64 y (/.f64 x y))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x)))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x))))) (-.f64 x y)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y))) x)) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y (/.f64 x (/.f64 y x))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)) (/.f64 (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)) (-.f64 (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x)))))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 x (/.f64 y (/.f64 x y))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x)))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) x)) |
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) x)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x))))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x (/.f64 y x))))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 y (/.f64 x (/.f64 y x))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) (+.f64 (*.f64 (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) (-.f64 #s(literal 1 binary64) (/.f64 y x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) (*.f64 (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) (-.f64 #s(literal 1 binary64) (/.f64 y x))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) (-.f64 #s(literal 1 binary64) (/.f64 y x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)) (/.f64 (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)) (-.f64 (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y))))) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 x (/.f64 y (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x (/.f64 y x)))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (+.f64 (/.f64 y (/.f64 x (/.f64 y x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 x x) (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y)) |
(/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x))))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x)))))) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)) |
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y)))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y)))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) (/.f64 x (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)))) |
(*.f64 (+.f64 (/.f64 y (/.f64 x (/.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x) x) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x)))) (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x))))) (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y)) (*.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y)) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y)) (-.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y)) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 x y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x (/.f64 y x)))) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (/.f64 y (/.f64 x y))) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) |
| 1× | egg-herbie |
| 4222× | *-lowering-*.f32 |
| 4222× | *-lowering-*.f64 |
| 2274× | /-lowering-/.f32 |
| 2274× | /-lowering-/.f64 |
| 1408× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 224 | 1026 |
| 1 | 779 | 927 |
| 2 | 2151 | 883 |
| 0 | 8006 | 883 |
| 1× | iter limit |
| 1× | node limit |
| 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)) |
(/ 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)) |
(* 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 x) (* 100 (/ (pow x 3) (pow y 2)))) (* 100 (/ (pow x 2) y))) y) |
(/ (- (+ (* -100 (/ (pow x 4) (pow y 3))) (* 100 x)) (+ (* -100 (/ (pow x 3) (pow y 2))) (* 100 (/ (pow x 2) y)))) y) |
(* 100 (/ x y)) |
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y))) y)) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 4) y)) (* 100 (pow x 3))) y)) (* 100 (pow x 2))) 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))) |
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) |
(/ (+ 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)) |
| 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) |
(/ 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 (*.f64 #s(literal 100 binary64) x) y) |
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) |
(*.f64 x (+.f64 (/.f64 (/.f64 (*.f64 x #s(literal -100 binary64)) 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 y (/.f64 #s(literal -100 binary64) x))) |
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) |
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 (/.f64 y 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 (*.f64 y (/.f64 #s(literal -100 binary64) x)) (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 (/.f64 #s(literal -100 binary64) x) (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) x))) |
100 |
#s(literal 100 binary64) |
(+ 100 (* -100 (/ y x))) |
(+.f64 #s(literal 100 binary64) (*.f64 y (/.f64 #s(literal -100 binary64) x))) |
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) |
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 (/.f64 y 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 y (/.f64 #s(literal -100 binary64) x))) |
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) |
(-.f64 #s(literal 100 binary64) (*.f64 #s(literal -100 binary64) (*.f64 (/.f64 y 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 (*.f64 y (/.f64 #s(literal -100 binary64) x)) (+.f64 #s(literal 100 binary64) (/.f64 (*.f64 (/.f64 #s(literal -100 binary64) x) (*.f64 y (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))))) 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 #s(literal 1 binary64) (/.f64 x y)))) y) |
(/ (- (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))) (* 100 (/ (pow x 2) y))) y) |
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 x (*.f64 (/.f64 x y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))) y) |
(/ (- (+ (* -100 (/ (pow x 4) (pow y 3))) (* 100 x)) (+ (* -100 (/ (pow x 3) (pow y 2))) (* 100 (/ (pow x 2) y)))) y) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) (*.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 #s(literal 1 binary64) (/.f64 x y)))) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (- (* 100 (/ (pow x 3) y)) (* 100 (pow x 2))) y))) y)) |
(/.f64 (*.f64 #s(literal 100 binary64) (+.f64 x (*.f64 (/.f64 x y) (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))) y) |
(* -1 (/ (+ (* -100 x) (* -1 (/ (- (* -1 (/ (- (* 100 (/ (pow x 4) y)) (* 100 (pow x 3))) y)) (* 100 (pow x 2))) y))) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -100 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) (*.f64 x (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64)))))) 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 x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) |
(- (+ 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 x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) |
(+ 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 x) (+.f64 (/.f64 y x) #s(literal -1 binary64)))) |
(+ 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 (/.f64 x y) #s(literal -1 binary64))))) 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 x (*.f64 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 (/.f64 x y) #s(literal -1 binary64))))) 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 x (*.f64 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 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) |
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) |
(/.f64 y x) |
(/ (+ x y) x) |
(/.f64 (+.f64 x y) x) |
(/ (+ x y) x) |
(/.f64 (+.f64 x y) x) |
(/ (+ x y) x) |
(/.f64 (+.f64 x 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)) |
Compiled 9514 to 1420 computations (85.1% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 571 | 1 | 572 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 1 | 5 | 6 |
| Total | 573 | 7 | 580 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) |
| ✓ | 52.7% | (/.f64 (/.f64 x y) #s(literal 1/100 binary64)) |
| ✓ | 52.7% | (/.f64 (*.f64 x #s(literal 100 binary64)) y) |
| ✓ | 48.1% | (/.f64 (*.f64 x #s(literal 100 binary64)) x) |
| ✓ | 52.7% | (/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
| 99.6% | (/.f64 #s(literal 100 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) | |
| ✓ | 48.5% | #s(literal 100 binary64) |
Compiled 130 to 64 computations (50.8% saved)
| Inputs |
|---|
#s(literal 100 binary64) |
(*.f64 #s(literal 100 binary64) (/.f64 x y)) |
(/.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 (/.f64 x y) #s(literal 1/100 binary64)) |
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
(/.f64 #s(literal 100 binary64) (+.f64 #s(literal 1 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)) |
(/.f64 (/.f64 x (+.f64 x y)) #s(literal 1/100 binary64)) |
(/.f64 (/.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))) #s(literal 1/100 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
3 calls:
| 6.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 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 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 (/.f64 x y) #s(literal 1/100 binary64)) |
| Outputs |
|---|
#s(literal 100 binary64) |
(/.f64 x (*.f64 y #s(literal 1/100 binary64))) |
#s(literal 100 binary64) |
2 calls:
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 3 | x |
| 73.5% | 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:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 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 | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.5% | 1 | y |
| 48.5% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 2.385340871940108e-46 | 3.4985759643778996e-42 |
| 11.0ms | -2.1858794681364858e+112 | -4.4320895131240355e+109 |
| 12.0ms | 256× | 0 | valid |
Compiled 206 to 170 computations (17.5% saved)
ival-div: 2.0ms (34.9% of total)ival-mult: 2.0ms (34.9% of total)ival-add: 1.0ms (17.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 2.385340871940108e-46 | 3.4985759643778996e-42 |
| 24.0ms | -2.1858794681364858e+112 | -4.4320895131240355e+109 |
| 26.0ms | 256× | 0 | valid |
Compiled 206 to 170 computations (17.5% saved)
ival-div: 10.0ms (53% of total)ival-add: 6.0ms (31.8% of total)ival-mult: 2.0ms (10.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 4× | if-if-or-not_binary32 |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 38 |
| 1 | 33 | 38 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
(if (<=.f64 x #s(literal -46000000000000002085434828739758369452144933339594119423993721661021942662119193366187727092927935295329927168 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 6106364568184163/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 x (*.f64 y #s(literal 1/100 binary64))) #s(literal 100 binary64))) |
(if (<=.f64 x #s(literal -44999999999999996054401922698028506882896851942671915240757339993667745517598509633596438973283938845486743552 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 6106364568184163/803469022129495137770981046170581301261101496891396417650688 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 x y)) #s(literal 100 binary64))) |
#s(literal 100 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 x y))) |
(if (<=.f64 x #s(literal -46000000000000002085434828739758369452144933339594119423993721661021942662119193366187727092927935295329927168 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 6106364568184163/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 x (*.f64 y #s(literal 1/100 binary64))) #s(literal 100 binary64))) |
(if (<=.f64 x #s(literal -44999999999999996054401922698028506882896851942671915240757339993667745517598509633596438973283938845486743552 binary64)) #s(literal 100 binary64) (if (<=.f64 x #s(literal 6106364568184163/803469022129495137770981046170581301261101496891396417650688 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 x y)) #s(literal 100 binary64))) |
#s(literal 100 binary64) |
| 3882× | *-lowering-*.f32 |
| 3882× | *-lowering-*.f64 |
| 3762× | *-lowering-*.f32 |
| 3762× | *-lowering-*.f64 |
| 3364× | *-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 |
| 0 | 161 | 876 |
| 1 | 503 | 835 |
| 2 | 1354 | 815 |
| 3 | 4385 | 813 |
| 0 | 8430 | 813 |
| 0 | 219 | 1132 |
| 1 | 735 | 1001 |
| 2 | 2010 | 941 |
| 3 | 7317 | 941 |
| 0 | 8203 | 941 |
| 0 | 6 | 7 |
| 1 | 10 | 7 |
| 2 | 13 | 7 |
| 3 | 14 | 7 |
| 0 | 14 | 7 |
| 1× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 126 to 84 computations (33.3% saved)
Compiled 120 to 74 computations (38.3% saved)
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