
Time bar (total: 8.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 10 to 8 computations (20% saved)
ival-div: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 474.0ms | 7625× | 0 | valid |
| 35.0ms | 205× | 2 | valid |
| 31.0ms | 287× | 1 | valid |
| 30.0ms | 139× | 3 | valid |
ival-div: 112.0ms (42.4% of total)ival-sub: 61.0ms (23.1% of total)ival-mult: 61.0ms (23.1% of total)const: 15.0ms (5.7% of total)backward-pass: 15.0ms (5.7% of total)| 2× | egg-herbie |
| 296× | fnmsub-define |
| 296× | fmsub-define |
| 296× | fnmadd-define |
| 204× | fnmadd-define |
| 198× | fmm-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 34 |
| 1 | 48 | 32 |
| 2 | 96 | 26 |
| 3 | 230 | 24 |
| 4 | 545 | 24 |
| 5 | 930 | 24 |
| 6 | 1068 | 24 |
| 7 | 1080 | 24 |
| 0 | 8 | 5 |
| 1 | 15 | 5 |
| 2 | 25 | 4 |
| 3 | 41 | 4 |
| 4 | 59 | 4 |
| 5 | 100 | 4 |
| 6 | 181 | 4 |
| 7 | 285 | 4 |
| 8 | 364 | 4 |
| 9 | 561 | 4 |
| 10 | 681 | 4 |
| 11 | 695 | 4 |
| 0 | 695 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- x (* (/ 3 8) y)) |
| Outputs |
|---|
(- x (* (/ 3 8) y)) |
(+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
| Inputs |
|---|
(- x (* (/ 3 8) y)) |
(- (neg x) (* (/ 3 8) y)) |
(- x (* (/ 3 8) (neg y))) |
(neg (- (neg x) (* (/ 3 8) y))) |
(neg (- x (* (/ 3 8) (neg y)))) |
(- y (* (/ 3 8) x)) |
| Outputs |
|---|
(- x (* (/ 3 8) y)) |
(fma y -3/8 x) |
(- (neg x) (* (/ 3 8) y)) |
(fnmsub 3/8 y x) |
(- x (* (/ 3 8) (neg y))) |
(fma 3/8 y x) |
(neg (- (neg x) (* (/ 3 8) y))) |
(fma 3/8 y x) |
(neg (- x (* (/ 3 8) (neg y)))) |
(fnmsub 3/8 y x) |
(- y (* (/ 3 8) x)) |
(fma x -3/8 y) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 8 binary64) |
| 0 | 0 | - | 0 | - | y |
| 58.0ms | 476× | 0 | valid |
| 6.0ms | 12× | 2 | valid |
| 4.0ms | 10× | 3 | valid |
| 2.0ms | 14× | 1 | valid |
Compiled 53 to 23 computations (56.6% saved)
ival-div: 5.0ms (33.4% of total)ival-mult: 4.0ms (26.7% of total)ival-sub: 3.0ms (20% of total)backward-pass: 3.0ms (20% of total)const: 1.0ms (6.7% of total)Compiled 7 to 5 computations (28.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -3/8 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
| 4× | fma-lowering-fma.f32 |
| 4× | fma-define |
| 4× | +-lowering-+.f64 |
| 4× | *-lowering-*.f32 |
| 4× | *-lowering-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 1 | 7 | 10 |
| 2 | 9 | 10 |
| 0 | 9 | 10 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ x (* y -3/8)) |
x |
(* y -3/8) |
y |
-3/8 |
| Outputs |
|---|
(+ x (* y -3/8)) |
(+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
x |
(* y -3/8) |
(*.f64 y #s(literal -3/8 binary64)) |
y |
-3/8 |
#s(literal -3/8 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -3/8 binary64)) |
| ✓ | accuracy | 99.9% | (+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
| 18.0ms | 238× | 0 | valid |
| 3.0ms | 6× | 2 | valid |
| 1.0ms | 5× | 3 | valid |
| 1.0ms | 7× | 1 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-mult: 2.0ms (41.6% of total)ival-add: 2.0ms (41.6% of total)backward-pass: 1.0ms (20.8% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ x (* y -3/8))> |
#<alt (* y -3/8)> |
| Outputs |
|---|
#<alt (* -3/8 y)> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt x> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (* -3/8 y)> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* -3/8 y)> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (* y -3/8) |
| 0.0ms | y | @ | inf | (+ x (* y -3/8)) |
| 0.0ms | y | @ | inf | (* y -3/8) |
| 0.0ms | x | @ | 0 | (+ x (* y -3/8)) |
| 0.0ms | x | @ | inf | (+ x (* y -3/8)) |
| 1× | batch-egg-rewrite |
| 3044× | *-lowering-*.f32 |
| 3044× | *-lowering-*.f64 |
| 2620× | /-lowering-/.f32 |
| 2620× | /-lowering-/.f64 |
| 1656× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 20 | 7 |
| 2 | 177 | 7 |
| 3 | 1925 | 7 |
| 0 | 8564 | 7 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* y -3/8)) |
(* y -3/8) |
| Outputs |
|---|
(+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))) #s(literal -1 binary64))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
(-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64)) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64)) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))) (+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))))) (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (+.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (+.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))) |
(fma.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) |
(fma.f64 y #s(literal -3/8 binary64) x) |
(fma.f64 #s(literal -3/8 binary64) y x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal -3/8 binary64)) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) |
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))) |
(neg.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) |
(/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))) (neg.f64 (+.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -19683/134217728 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.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)) #s(literal 729/262144 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))) (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64))))) |
(/.f64 (neg.f64 (*.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)) #s(literal 729/262144 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))) (pow.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) |
(*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (/.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))) |
(*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
(*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) |
(*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (*.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))) (-.f64 (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 3/8 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal -3/8 binary64)) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 y #s(literal -3/8 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)) #s(literal 729/262144 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -19683/134217728 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) 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)) #s(literal 729/262144 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64))))) |
(exp.f64 (log.f64 (*.f64 y #s(literal -3/8 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -3/8 binary64))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 y #s(literal -3/8 binary64)) #s(literal 1 binary64)) |
(*.f64 y #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) y) |
(*.f64 #s(literal -3/8 binary64) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -3/8 binary64)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -3/8 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal -3/8 binary64))) (exp.f64 (log.f64 y))) |
| 1× | egg-herbie |
| 1744× | fnmadd-define |
| 1606× | fmsub-define |
| 1582× | fnmsub-define |
| 1436× | fmm-def |
| 1428× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 138 |
| 1 | 66 | 120 |
| 2 | 186 | 120 |
| 3 | 499 | 120 |
| 4 | 1449 | 120 |
| 5 | 4063 | 120 |
| 6 | 6264 | 120 |
| 0 | 8007 | 120 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3/8 y) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
x |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(* -3/8 y) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* -3/8 y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
| Outputs |
|---|
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
x |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* y (- (/ x y) 3/8)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* y (- (/ x y) 3/8)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* y (- (/ x y) 3/8)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
Compiled 5059 to 416 computations (91.8% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 153 | 7 | 160 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 153 | 8 | 161 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 y #s(literal -3/8 binary64) x) |
| ▶ | 60.0% | (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) |
| 59.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)))) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
| ✓ | 99.9% | (+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
| 99.7% | (*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) | |
| ▶ | 50.7% | (*.f64 #s(literal -3/8 binary64) y) |
| ▶ | 51.3% | x |
Compiled 171 to 109 computations (36.3% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 9/64 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y #s(literal 9/64 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -3/8 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -3/8 binary64) y) |
| ✓ | cost-diff | 6272 | (fma.f64 y #s(literal -3/8 binary64) x) |
| 2370× | fnmadd-define |
| 1884× | fma-define |
| 1536× | sum5-define |
| 1488× | sum4-define |
| 1260× | sum3-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 73 |
| 1 | 42 | 70 |
| 2 | 83 | 70 |
| 3 | 147 | 70 |
| 4 | 299 | 70 |
| 5 | 676 | 70 |
| 6 | 1920 | 70 |
| 7 | 3629 | 70 |
| 8 | 5323 | 70 |
| 9 | 7359 | 70 |
| 10 | 7596 | 70 |
| 11 | 7598 | 70 |
| 12 | 7613 | 70 |
| 13 | 7632 | 70 |
| 14 | 7640 | 70 |
| 0 | 7640 | 70 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* y -3/8) x) |
y |
-3/8 |
x |
x |
(* -3/8 y) |
-3/8 |
y |
(/ 1 (/ 1 (+ x (* y -3/8)))) |
1 |
(/ 1 (+ x (* y -3/8))) |
(+ x (* y -3/8)) |
x |
(* y -3/8) |
y |
-3/8 |
(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x)) |
(- (* y (* y 9/64)) (* x x)) |
(* y (* y 9/64)) |
y |
(* y 9/64) |
9/64 |
(* x x) |
x |
(- (* y -3/8) x) |
(* y -3/8) |
-3/8 |
| Outputs |
|---|
(+ (* y -3/8) x) |
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x) |
y |
-3/8 |
#s(literal -3/8 binary64) |
x |
x |
(* -3/8 y) |
(*.f64 y #s(literal -3/8 binary64)) |
-3/8 |
#s(literal -3/8 binary64) |
y |
(/ 1 (/ 1 (+ x (* y -3/8)))) |
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x) |
1 |
#s(literal 1 binary64) |
(/ 1 (+ x (* y -3/8))) |
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)) |
(+ x (* y -3/8)) |
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x) |
x |
(* y -3/8) |
(*.f64 y #s(literal -3/8 binary64)) |
y |
-3/8 |
#s(literal -3/8 binary64) |
(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) |
(- (* y (* y 9/64)) (* x x)) |
(-.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 y y)) (*.f64 x x)) |
(* y (* y 9/64)) |
(*.f64 #s(literal 9/64 binary64) (*.f64 y y)) |
y |
(* y 9/64) |
(*.f64 y #s(literal 9/64 binary64)) |
9/64 |
#s(literal 9/64 binary64) |
(* x x) |
(*.f64 x x) |
x |
(- (* y -3/8) x) |
(-.f64 (*.f64 y #s(literal -3/8 binary64)) x) |
(* y -3/8) |
(*.f64 y #s(literal -3/8 binary64)) |
-3/8 |
#s(literal -3/8 binary64) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 y #s(literal 9/64 binary64))) |
| ✓ | accuracy | 97.3% | (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) |
| ✓ | accuracy | 60.6% | (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -3/8 binary64)) |
| ✓ | accuracy | 99.9% | (+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -3/8 binary64) y) |
| ✓ | accuracy | 100.0% | (fma.f64 y #s(literal -3/8 binary64) x) |
| 89.0ms | 221× | 0 | valid |
| 13.0ms | 9× | 3 | valid |
| 8.0ms | 10× | 2 | valid |
| 8.0ms | 14× | 1 | valid |
| 3.0ms | 2× | 5 | exit |
Compiled 91 to 18 computations (80.2% saved)
ival-mult: 19.0ms (44.8% of total)ival-div: 7.0ms (16.5% of total)compiled-spec: 5.0ms (11.8% of total)backward-pass: 4.0ms (9.4% of total)ival-sub: 3.0ms (7.1% of total)ival-add: 3.0ms (7.1% of total)const: 1.0ms (2.4% of total)| Inputs |
|---|
#<alt (+ (* y -3/8) x)> |
#<alt (* -3/8 y)> |
#<alt (/ 1 (/ 1 (+ x (* y -3/8))))> |
#<alt (/ 1 (+ x (* y -3/8)))> |
#<alt (+ x (* y -3/8))> |
#<alt (* y -3/8)> |
#<alt (/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x))> |
#<alt (- (* y (* y 9/64)) (* x x))> |
#<alt (* y (* y 9/64))> |
#<alt (* y 9/64)> |
#<alt (- (* y -3/8) x)> |
| Outputs |
|---|
#<alt x> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (* -3/8 y)> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* -3/8 y)> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -3/8 y)> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt x> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt x> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (* -3/8 y)> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* -3/8 y)> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (/ -8/3 y)> |
#<alt (- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))> |
#<alt (- (* x (- (* -512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))> |
#<alt (- (* x (- (* x (- (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 3/8 (/ y x))) x)> |
#<alt (/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* -3/8 (/ y x))) x)> |
#<alt (/ (- (+ 1 (* 27/512 (/ (pow y 3) (pow x 3)))) (+ (* -3/8 (/ y x)) (* -9/64 (/ (pow y 2) (pow x 2))))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (* -3/8 (/ y x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* -3/8 y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* -3/8 y)) x)) 1) x))> |
#<alt (/ 1 x)> |
#<alt (+ (* 3/8 (/ y (pow x 2))) (/ 1 x))> |
#<alt (+ (* y (+ (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))> |
#<alt (+ (* y (+ (* y (+ (* 27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))> |
#<alt (/ -8/3 y)> |
#<alt (/ (- (* -64/9 (/ x y)) 8/3) y)> |
#<alt (/ (- (* -512/27 (/ (pow x 2) (pow y 2))) (+ 8/3 (* 64/9 (/ x y)))) y)> |
#<alt (/ (- (* -4096/81 (/ (pow x 3) (pow y 3))) (+ 8/3 (+ (* 64/9 (/ x y)) (* 512/27 (/ (pow x 2) (pow y 2)))))) y)> |
#<alt (/ -8/3 y)> |
#<alt (* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))> |
#<alt (* -1 (/ (+ 8/3 (* -1 (/ (- (* -512/27 (/ (pow x 2) y)) (* 64/9 x)) y))) y))> |
#<alt (* -1 (/ (+ 8/3 (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* -512/27 (pow x 2))) y)) (* 64/9 x)) y))) y))> |
#<alt (* -3/8 y)> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt x> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (* -3/8 y)> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* -3/8 y)> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt x> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (* -3/8 y)> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* -3/8 y)> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -3/8 y)> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt x> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (pow x 2))> |
#<alt (- (* 9/64 (pow y 2)) (pow x 2))> |
#<alt (- (* 9/64 (pow y 2)) (pow x 2))> |
#<alt (- (* 9/64 (pow y 2)) (pow x 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))> |
#<alt (+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))> |
#<alt (+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))> |
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))> |
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))> |
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))> |
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* -1 x)> |
#<alt (- (* -3/8 y) x)> |
#<alt (- (* -3/8 y) x)> |
#<alt (- (* -3/8 y) x)> |
#<alt (* -3/8 y)> |
#<alt (* y (- (* -1 (/ x y)) 3/8))> |
#<alt (* y (- (* -1 (/ x y)) 3/8))> |
#<alt (* y (- (* -1 (/ x y)) 3/8))> |
#<alt (* -3/8 y)> |
#<alt (* -1 (* y (+ 3/8 (/ x y))))> |
#<alt (* -1 (* y (+ 3/8 (/ x y))))> |
#<alt (* -1 (* y (+ 3/8 (/ x y))))> |
#<alt (* -3/8 y)> |
#<alt (+ (* -1 x) (* -3/8 y))> |
#<alt (+ (* -1 x) (* -3/8 y))> |
#<alt (+ (* -1 x) (* -3/8 y))> |
#<alt (* -1 x)> |
#<alt (* x (- (* -3/8 (/ y x)) 1))> |
#<alt (* x (- (* -3/8 (/ y x)) 1))> |
#<alt (* x (- (* -3/8 (/ y x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 3/8 (/ y x)))))> |
#<alt (* -1 (* x (+ 1 (* 3/8 (/ y x)))))> |
#<alt (* -1 (* x (+ 1 (* 3/8 (/ y x)))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (* y 9/64) |
| 1.0ms | y | @ | 0 | (/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x)) |
| 1.0ms | x | @ | 0 | (/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x)) |
| 1.0ms | y | @ | inf | (/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x)) |
| 0.0ms | x | @ | inf | (/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x)) |
| 1× | batch-egg-rewrite |
| 3562× | *-lowering-*.f32 |
| 3562× | *-lowering-*.f64 |
| 3198× | /-lowering-/.f32 |
| 3198× | /-lowering-/.f64 |
| 1996× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 46 |
| 1 | 105 | 44 |
| 2 | 901 | 44 |
| 0 | 8566 | 44 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* y -3/8) x) |
(* -3/8 y) |
(/ 1 (/ 1 (+ x (* y -3/8)))) |
(/ 1 (+ x (* y -3/8))) |
(+ x (* y -3/8)) |
(* y -3/8) |
(/ (- (* y (* y 9/64)) (* x x)) (- (* y -3/8) x)) |
(- (* y (* y 9/64)) (* x x)) |
(* y (* y 9/64)) |
(* y 9/64) |
(- (* y -3/8) x) |
| Outputs |
|---|
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x) |
(+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
(+.f64 x (neg.f64 (*.f64 y #s(literal 3/8 binary64)))) |
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 3/8 binary64)))) |
(+.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)))) |
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(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))) |
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal -3/8 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))) |
(*.f64 (/.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) |
(*.f64 (/.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal -3/8 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (pow.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (pow.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (pow.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal -3/8 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (pow.f64 (+.f64 (*.f64 y #s(literal -3/8 binary64)) x) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal -3/8 binary64)) x))))) |
| 1× | egg-herbie |
| 3962× | *-lowering-*.f32 |
| 3962× | *-lowering-*.f64 |
| 1372× | /-lowering-/.f32 |
| 1372× | /-lowering-/.f64 |
| 1074× | --lowering--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 1207 |
| 1 | 581 | 1039 |
| 2 | 1630 | 1008 |
| 3 | 5221 | 1008 |
| 0 | 8354 | 1008 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(* -3/8 y) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* -3/8 y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -3/8 y) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
x |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(* -3/8 y) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* -3/8 y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(/ -8/3 y) |
(- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y))) |
(- (* x (- (* -512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y))) |
(- (* x (- (* x (- (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y))) |
(/ 1 x) |
(/ (+ 1 (* 3/8 (/ y x))) x) |
(/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* -3/8 (/ y x))) x) |
(/ (- (+ 1 (* 27/512 (/ (pow y 3) (pow x 3)))) (+ (* -3/8 (/ y x)) (* -9/64 (/ (pow y 2) (pow x 2))))) x) |
(/ 1 x) |
(* -1 (/ (- (* -3/8 (/ y x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* -3/8 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* -3/8 y)) x)) 1) x)) |
(/ 1 x) |
(+ (* 3/8 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (+ (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x)) |
(+ (* y (+ (* y (+ (* 27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x)) |
(/ -8/3 y) |
(/ (- (* -64/9 (/ x y)) 8/3) y) |
(/ (- (* -512/27 (/ (pow x 2) (pow y 2))) (+ 8/3 (* 64/9 (/ x y)))) y) |
(/ (- (* -4096/81 (/ (pow x 3) (pow y 3))) (+ 8/3 (+ (* 64/9 (/ x y)) (* 512/27 (/ (pow x 2) (pow y 2)))))) y) |
(/ -8/3 y) |
(* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y)) |
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -512/27 (/ (pow x 2) y)) (* 64/9 x)) y))) y)) |
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* -512/27 (pow x 2))) y)) (* 64/9 x)) y))) y)) |
(* -3/8 y) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
x |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(* -3/8 y) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* -3/8 y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
x |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(* -3/8 y) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* -3/8 y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -3/8 y) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (pow x 2)) |
(- (* 9/64 (pow y 2)) (pow x 2)) |
(- (* 9/64 (pow y 2)) (pow x 2)) |
(- (* 9/64 (pow y 2)) (pow x 2)) |
(* 9/64 (pow y 2)) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(* 9/64 (pow y 2)) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(* 9/64 (pow y 2)) |
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2))) |
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2))) |
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* -1 x) |
(- (* -3/8 y) x) |
(- (* -3/8 y) x) |
(- (* -3/8 y) x) |
(* -3/8 y) |
(* y (- (* -1 (/ x y)) 3/8)) |
(* y (- (* -1 (/ x y)) 3/8)) |
(* y (- (* -1 (/ x y)) 3/8)) |
(* -3/8 y) |
(* -1 (* y (+ 3/8 (/ x y)))) |
(* -1 (* y (+ 3/8 (/ x y)))) |
(* -1 (* y (+ 3/8 (/ x y)))) |
(* -3/8 y) |
(+ (* -1 x) (* -3/8 y)) |
(+ (* -1 x) (* -3/8 y)) |
(+ (* -1 x) (* -3/8 y)) |
(* -1 x) |
(* x (- (* -3/8 (/ y x)) 1)) |
(* x (- (* -3/8 (/ y x)) 1)) |
(* x (- (* -3/8 (/ y x)) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* 3/8 (/ y x))))) |
(* -1 (* x (+ 1 (* 3/8 (/ y x))))) |
(* -1 (* x (+ 1 (* 3/8 (/ y x))))) |
| Outputs |
|---|
x |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* y (- (/ x y) 3/8)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* y (- (/ x y) 3/8)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* y (- (/ x y) 3/8)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
x |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* y (- (/ x y) 3/8)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* y (- (/ x y) 3/8)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* y (- (/ x y) 3/8)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
(- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y))) |
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y) |
(- (* x (- (* -512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y))) |
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -512/27 binary64))) y) (*.f64 x #s(literal -64/9 binary64))) y)) y) |
(- (* x (- (* x (- (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y))) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 x #s(literal -4096/81 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -512/27 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 3/8 (/ y x))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3/8 binary64)) x)) x) |
(/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* -3/8 (/ y x))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) x) (*.f64 y #s(literal 3/8 binary64))) x)) x) |
(/ (- (+ 1 (* 27/512 (/ (pow y 3) (pow x 3)))) (+ (* -3/8 (/ y x)) (* -9/64 (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 27/512 binary64)))) x)) x) (*.f64 y #s(literal 3/8 binary64))) x)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* -3/8 (/ y x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3/8 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* -3/8 y)) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) x) (*.f64 y #s(literal 3/8 binary64))) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* -3/8 y)) x)) 1) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 27/512 binary64)))) x)) x) (*.f64 y #s(literal 3/8 binary64))) x)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* 3/8 (/ y (pow x 2))) (/ 1 x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3/8 binary64)) x)) x) |
(+ (* y (+ (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) x) (*.f64 y #s(literal 3/8 binary64))) x)) x) |
(+ (* y (+ (* y (+ (* 27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x)) |
(+.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 y #s(literal 27/512 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 9/64 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3/8 binary64)) x)) x)) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
(/ (- (* -64/9 (/ x y)) 8/3) y) |
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y) |
(/ (- (* -512/27 (/ (pow x 2) (pow y 2))) (+ 8/3 (* 64/9 (/ x y)))) y) |
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -512/27 binary64))) y) (*.f64 x #s(literal -64/9 binary64))) y)) y) |
(/ (- (* -4096/81 (/ (pow x 3) (pow y 3))) (+ 8/3 (+ (* 64/9 (/ x y)) (* 512/27 (/ (pow x 2) (pow y 2)))))) y) |
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -512/27 binary64))) (/.f64 (*.f64 x (*.f64 #s(literal -4096/81 binary64) (*.f64 x x))) y)) y) (*.f64 x #s(literal -64/9 binary64))) y)) y) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
(* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y)) |
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y) |
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -512/27 (/ (pow x 2) y)) (* 64/9 x)) y))) y)) |
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -512/27 binary64))) y) (*.f64 x #s(literal -64/9 binary64))) y)) y) |
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* -512/27 (pow x 2))) y)) (* 64/9 x)) y))) y)) |
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -512/27 binary64))) (/.f64 (*.f64 x (*.f64 #s(literal -4096/81 binary64) (*.f64 x x))) y)) y) (*.f64 x #s(literal -64/9 binary64))) y)) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
x |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* y (- (/ x y) 3/8)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* y (- (/ x y) 3/8)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* y (- (/ x y) 3/8)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
x |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* y (- (/ x y) 3/8)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* y (- (/ x y) 3/8)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* y (- (/ x y) 3/8)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (pow x 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(- (* 9/64 (pow y 2)) (pow x 2)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x)) |
(- (* 9/64 (pow y 2)) (pow x 2)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x)) |
(- (* 9/64 (pow y 2)) (pow x 2)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x)) |
(* 9/64 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x)) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x)) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x)) |
(* 9/64 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x)) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x)) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x)) |
(* 9/64 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x)) |
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x)) |
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2))) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (*.f64 x x)) |
(* -1 (pow x 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal -9/64 binary64))))) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal -9/64 binary64))))) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal -9/64 binary64))))) |
(* -1 (pow x 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal -9/64 binary64))))) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal -9/64 binary64))))) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) x) #s(literal -9/64 binary64))))) |
(* 9/64 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(* 9/64 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(* 9/64 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(* 9/64 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(* 9/64 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(* 9/64 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(* 9/64 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(* 9/64 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(* 9/64 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(* 9/64 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(* 9/64 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(* 9/64 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(- (* -3/8 y) x) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(- (* -3/8 y) x) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(- (* -3/8 y) x) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* y (- (* -1 (/ x y)) 3/8)) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* y (- (* -1 (/ x y)) 3/8)) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* y (- (* -1 (/ x y)) 3/8)) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -1 (* y (+ 3/8 (/ x y)))) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -1 (* y (+ 3/8 (/ x y)))) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -1 (* y (+ 3/8 (/ x y)))) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(+ (* -1 x) (* -3/8 y)) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(+ (* -1 x) (* -3/8 y)) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(+ (* -1 x) (* -3/8 y)) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (* -3/8 (/ y x)) 1)) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* x (- (* -3/8 (/ y x)) 1)) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* x (- (* -3/8 (/ y x)) 1)) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* 3/8 (/ y x))))) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -1 (* x (+ 1 (* 3/8 (/ y x))))) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -1 (* x (+ 1 (* 3/8 (/ y x))))) |
(-.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
Compiled 51600 to 2159 computations (95.8% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1401 | 4 | 1405 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1404 | 9 | 1413 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 y #s(literal -3/8 binary64) x) |
| ▶ | 31.8% | (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (*.f64 #s(literal -3/8 binary64) y)) |
| ▶ | 31.5% | (/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) |
| ▶ | 50.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)) |
| ▶ | 50.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y)) |
| ✓ | 99.9% | (+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
| ▶ | 99.7% | (*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) |
| ✓ | 50.7% | (*.f64 #s(literal -3/8 binary64) y) |
| ✓ | 51.3% | x |
Compiled 159 to 105 computations (34% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 9/64 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y #s(literal 9/64 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (*.f64 #s(literal -3/8 binary64) y)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 x y) #s(literal -64/9 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -8/3 binary64) y) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y)) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal -3/8 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
| ✓ | cost-diff | 768 | (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
| ✓ | cost-diff | 896 | (*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) |
| 4292× | *-lowering-*.f32 |
| 4292× | *-lowering-*.f64 |
| 1544× | sum4-define |
| 1504× | /-lowering-/.f32 |
| 1504× | /-lowering-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 141 |
| 1 | 81 | 130 |
| 2 | 205 | 126 |
| 3 | 596 | 126 |
| 4 | 3366 | 126 |
| 0 | 8485 | 126 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ x (* y -3/8)) (* (- x (* y -3/8)) (/ 1 (- x (* y -3/8))))) |
(+ x (* y -3/8)) |
x |
(* y -3/8) |
y |
-3/8 |
(* (- x (* y -3/8)) (/ 1 (- x (* y -3/8)))) |
(- x (* y -3/8)) |
(/ 1 (- x (* y -3/8))) |
1 |
(/ 1 (/ -8/3 y)) |
1 |
(/ -8/3 y) |
-8/3 |
y |
(/ 1 (/ (+ -8/3 (* (/ x y) -64/9)) y)) |
1 |
(/ (+ -8/3 (* (/ x y) -64/9)) y) |
(+ -8/3 (* (/ x y) -64/9)) |
-8/3 |
(* (/ x y) -64/9) |
(/ x y) |
x |
y |
-64/9 |
(/ (* (* y y) 9/64) (- (* y -3/8) x)) |
(* (* y y) 9/64) |
(* y y) |
y |
9/64 |
(- (* y -3/8) x) |
(* y -3/8) |
-3/8 |
x |
(/ (- (* y (* y 9/64)) (* x x)) (* -3/8 y)) |
(- (* y (* y 9/64)) (* x x)) |
(* y (* y 9/64)) |
y |
(* y 9/64) |
9/64 |
(* x x) |
x |
(* -3/8 y) |
-3/8 |
| Outputs |
|---|
(* (+ x (* y -3/8)) (* (- x (* y -3/8)) (/ 1 (- x (* y -3/8))))) |
(+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
(+ x (* y -3/8)) |
(+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
x |
(* y -3/8) |
(*.f64 y #s(literal -3/8 binary64)) |
y |
-3/8 |
#s(literal -3/8 binary64) |
(* (- x (* y -3/8)) (/ 1 (- x (* y -3/8)))) |
#s(literal 1 binary64) |
(- x (* y -3/8)) |
(+.f64 x (*.f64 y #s(literal 3/8 binary64))) |
(/ 1 (- x (* y -3/8))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) |
1 |
#s(literal 1 binary64) |
(/ 1 (/ -8/3 y)) |
(*.f64 y #s(literal -3/8 binary64)) |
1 |
#s(literal 1 binary64) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
-8/3 |
#s(literal -8/3 binary64) |
y |
(/ 1 (/ (+ -8/3 (* (/ x y) -64/9)) y)) |
(/.f64 y (+.f64 #s(literal -8/3 binary64) (*.f64 x (/.f64 #s(literal -64/9 binary64) y)))) |
1 |
#s(literal 1 binary64) |
(/ (+ -8/3 (* (/ x y) -64/9)) y) |
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 x (/.f64 #s(literal -64/9 binary64) y))) y) |
(+ -8/3 (* (/ x y) -64/9)) |
(+.f64 #s(literal -8/3 binary64) (*.f64 x (/.f64 #s(literal -64/9 binary64) y))) |
-8/3 |
#s(literal -8/3 binary64) |
(* (/ x y) -64/9) |
(*.f64 x (/.f64 #s(literal -64/9 binary64) y)) |
(/ x y) |
(/.f64 x y) |
x |
y |
-64/9 |
#s(literal -64/9 binary64) |
(/ (* (* y y) 9/64) (- (* y -3/8) x)) |
(*.f64 y (*.f64 #s(literal 9/64 binary64) (/.f64 y (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))) |
(* (* y y) 9/64) |
(*.f64 y (*.f64 y #s(literal 9/64 binary64))) |
(* y y) |
(*.f64 y y) |
y |
9/64 |
#s(literal 9/64 binary64) |
(- (* y -3/8) x) |
(-.f64 (*.f64 y #s(literal -3/8 binary64)) x) |
(* y -3/8) |
(*.f64 y #s(literal -3/8 binary64)) |
-3/8 |
#s(literal -3/8 binary64) |
x |
(/ (- (* y (* y 9/64)) (* x x)) (* -3/8 y)) |
(+.f64 (*.f64 y #s(literal -3/8 binary64)) (/.f64 (/.f64 (*.f64 x x) y) #s(literal 3/8 binary64))) |
(- (* y (* y 9/64)) (* x x)) |
(-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) |
(* y (* y 9/64)) |
(*.f64 y (*.f64 y #s(literal 9/64 binary64))) |
y |
(* y 9/64) |
(*.f64 y #s(literal 9/64 binary64)) |
9/64 |
#s(literal 9/64 binary64) |
(* x x) |
(*.f64 x x) |
x |
(* -3/8 y) |
(*.f64 y #s(literal -3/8 binary64)) |
-3/8 |
#s(literal -3/8 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -3/8 binary64) y) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 y #s(literal 9/64 binary64))) |
| ✓ | accuracy | 98.4% | (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) |
| ✓ | accuracy | 82.4% | (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (*.f64 #s(literal -3/8 binary64) y)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -3/8 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
| ✓ | accuracy | 84.3% | (/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 x y) #s(literal -64/9 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -8/3 binary64) y) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal -3/8 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
| 258.0ms | 76× | 5 | exit |
| 118.0ms | 180× | 0 | valid |
Compiled 181 to 31 computations (82.9% saved)
...c/correct-round.rkt:119:19: 57.0ms (30.2% of total)ival-mult: 50.0ms (26.5% of total)ival-div: 36.0ms (19.1% of total)backward-pass: 31.0ms (16.4% of total)ival-sub: 7.0ms (3.7% of total)ival-add: 6.0ms (3.2% of total)const: 1.0ms (0.5% of total)| Inputs |
|---|
#<alt (* (+ x (* y -3/8)) (* (- x (* y -3/8)) (/ 1 (- x (* y -3/8)))))> |
#<alt (* (- x (* y -3/8)) (/ 1 (- x (* y -3/8))))> |
#<alt (+ x (* y -3/8))> |
#<alt (* y -3/8)> |
#<alt (/ 1 (/ -8/3 y))> |
#<alt (/ -8/3 y)> |
#<alt (/ 1 (/ (+ -8/3 (* (/ x y) -64/9)) y))> |
#<alt (/ (+ -8/3 (* (/ x y) -64/9)) y)> |
#<alt (+ -8/3 (* (/ x y) -64/9))> |
#<alt (* (/ x y) -64/9)> |
#<alt (/ (* (* y y) 9/64) (- (* y -3/8) x))> |
#<alt (* (* y y) 9/64)> |
#<alt (* y y)> |
#<alt (- (* y -3/8) x)> |
#<alt (/ (- (* y (* y 9/64)) (* x x)) (* -3/8 y))> |
#<alt (- (* y (* y 9/64)) (* x x))> |
#<alt (* y (* y 9/64))> |
#<alt (* y 9/64)> |
#<alt (/ 1 (- x (* y -3/8)))> |
#<alt (* -3/8 y)> |
| Outputs |
|---|
#<alt (* -3/8 y)> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt x> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (* -3/8 y)> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* -3/8 y)> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt (* -3/8 y)> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt x> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt x> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (* -3/8 y)> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* -3/8 y)> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (/ -8/3 y)> |
#<alt (/ -8/3 y)> |
#<alt (/ -8/3 y)> |
#<alt (/ -8/3 y)> |
#<alt (/ -8/3 y)> |
#<alt (/ -8/3 y)> |
#<alt (/ -8/3 y)> |
#<alt (/ -8/3 y)> |
#<alt (/ -8/3 y)> |
#<alt (/ -8/3 y)> |
#<alt (/ -8/3 y)> |
#<alt (/ -8/3 y)> |
#<alt (* -3/8 y)> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ (* -3/8 y) (* x (+ 1 (* -8/3 (/ x y)))))> |
#<alt (+ (* -3/8 y) (* x (+ 1 (* x (- (* 64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))))))> |
#<alt (* -9/64 (/ (pow y 2) x))> |
#<alt (/ (+ (* -9/64 (pow y 2)) (* 27/512 (/ (pow y 3) x))) x)> |
#<alt (/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (* 27/512 (/ (pow y 3) x)))) x)> |
#<alt (/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (+ (* 243/32768 (/ (pow y 5) (pow x 3))) (* 27/512 (/ (pow y 3) x))))) x)> |
#<alt (* -9/64 (/ (pow y 2) x))> |
#<alt (* -1 (/ (+ (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -81/4096 (/ (pow y 4) x)) (* -27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -243/32768 (/ (pow y 5) x)) (* -81/4096 (pow y 4))) x)) (* -27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))> |
#<alt (* -9/64 (/ (pow y 2) x))> |
#<alt (* (pow y 2) (- (* 27/512 (/ y (pow x 2))) (* 9/64 (/ 1 x))))> |
#<alt (* (pow y 2) (- (* y (+ (* -81/4096 (/ y (pow x 3))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))> |
#<alt (* (pow y 2) (- (* y (+ (* y (- (* 243/32768 (/ y (pow x 4))) (* 81/4096 (/ 1 (pow x 3))))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))> |
#<alt (* -3/8 y)> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (* -8/3 (/ (pow x 2) (pow y 2))) (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* y (- (* 64/9 (/ (pow x 3) (pow y 3))) (+ 3/8 (+ (* -1 (/ x y)) (* 8/3 (/ (pow x 2) (pow y 2)))))))> |
#<alt (* -3/8 y)> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ (- (* -8/3 (/ (pow x 2) y)) (* -1 x)) y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ (- (* -1 (/ (- (* -64/9 (/ (pow x 3) y)) (* -8/3 (pow x 2))) y)) (* -1 x)) y)))))> |
#<alt (/ -8/3 y)> |
#<alt (- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))> |
#<alt (- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))> |
#<alt (- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))> |
#<alt (* -64/9 (/ x (pow y 2)))> |
#<alt (* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))> |
#<alt (* -64/9 (/ x (pow y 2)))> |
#<alt (* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2))))))> |
#<alt (* -64/9 (/ x (pow y 2)))> |
#<alt (/ (+ (* -64/9 x) (* -8/3 y)) (pow y 2))> |
#<alt (/ (+ (* -64/9 x) (* -8/3 y)) (pow y 2))> |
#<alt (/ (+ (* -64/9 x) (* -8/3 y)) (pow y 2))> |
#<alt (/ -8/3 y)> |
#<alt (/ (- (* -64/9 (/ x y)) 8/3) y)> |
#<alt (/ (- (* -64/9 (/ x y)) 8/3) y)> |
#<alt (/ (- (* -64/9 (/ x y)) 8/3) y)> |
#<alt (/ -8/3 y)> |
#<alt (* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))> |
#<alt (* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))> |
#<alt (* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))> |
#<alt -8/3> |
#<alt (- (* -64/9 (/ x y)) 8/3)> |
#<alt (- (* -64/9 (/ x y)) 8/3)> |
#<alt (- (* -64/9 (/ x y)) 8/3)> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -1 (* x (+ (* 64/9 (/ 1 y)) (* 8/3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* 64/9 (/ 1 y)) (* 8/3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* 64/9 (/ 1 y)) (* 8/3 (/ 1 x)))))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -1 (* x (+ (* 8/3 (/ 1 x)) (* 64/9 (/ 1 y)))))> |
#<alt (* -1 (* x (+ (* 8/3 (/ 1 x)) (* 64/9 (/ 1 y)))))> |
#<alt (* -1 (* x (+ (* 8/3 (/ 1 x)) (* 64/9 (/ 1 y)))))> |
#<alt (* -64/9 (/ x y))> |
#<alt (/ (+ (* -64/9 x) (* -8/3 y)) y)> |
#<alt (/ (+ (* -64/9 x) (* -8/3 y)) y)> |
#<alt (/ (+ (* -64/9 x) (* -8/3 y)) y)> |
#<alt -8/3> |
#<alt (- (* -64/9 (/ x y)) 8/3)> |
#<alt (- (* -64/9 (/ x y)) 8/3)> |
#<alt (- (* -64/9 (/ x y)) 8/3)> |
#<alt -8/3> |
#<alt (- (* -64/9 (/ x y)) 8/3)> |
#<alt (- (* -64/9 (/ x y)) 8/3)> |
#<alt (- (* -64/9 (/ x y)) 8/3)> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -64/9 (/ x y))> |
#<alt (* -9/64 (/ (pow y 2) x))> |
#<alt (* (pow y 2) (- (* 27/512 (/ y (pow x 2))) (* 9/64 (/ 1 x))))> |
#<alt (* (pow y 2) (- (* y (+ (* -81/4096 (/ y (pow x 3))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))> |
#<alt (* (pow y 2) (- (* y (+ (* y (- (* 243/32768 (/ y (pow x 4))) (* 81/4096 (/ 1 (pow x 3))))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x))))> |
#<alt (* -3/8 y)> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (* -8/3 (/ (pow x 2) (pow y 2))) (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* y (- (* 64/9 (/ (pow x 3) (pow y 3))) (+ 3/8 (+ (* -1 (/ x y)) (* 8/3 (/ (pow x 2) (pow y 2)))))))> |
#<alt (* -3/8 y)> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ (- (* -8/3 (/ (pow x 2) y)) (* -1 x)) y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ (- (* -1 (/ (- (* -64/9 (/ (pow x 3) y)) (* -8/3 (pow x 2))) y)) (* -1 x)) y)))))> |
#<alt (* -3/8 y)> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ (* -3/8 y) (* x (+ 1 (* -8/3 (/ x y)))))> |
#<alt (+ (* -3/8 y) (* x (+ 1 (* x (- (* 64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))))))> |
#<alt (* -9/64 (/ (pow y 2) x))> |
#<alt (/ (+ (* -9/64 (pow y 2)) (* 27/512 (/ (pow y 3) x))) x)> |
#<alt (/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (* 27/512 (/ (pow y 3) x)))) x)> |
#<alt (/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (+ (* 243/32768 (/ (pow y 5) (pow x 3))) (* 27/512 (/ (pow y 3) x))))) x)> |
#<alt (* -9/64 (/ (pow y 2) x))> |
#<alt (* -1 (/ (+ (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -81/4096 (/ (pow y 4) x)) (* 27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -243/32768 (/ (pow y 5) x)) (* 81/4096 (pow y 4))) x)) (* 27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (* -1 x)> |
#<alt (- (* -3/8 y) x)> |
#<alt (- (* -3/8 y) x)> |
#<alt (- (* -3/8 y) x)> |
#<alt (* -3/8 y)> |
#<alt (* y (- (* -1 (/ x y)) 3/8))> |
#<alt (* y (- (* -1 (/ x y)) 3/8))> |
#<alt (* y (- (* -1 (/ x y)) 3/8))> |
#<alt (* -3/8 y)> |
#<alt (* -1 (* y (+ 3/8 (/ x y))))> |
#<alt (* -1 (* y (+ 3/8 (/ x y))))> |
#<alt (* -1 (* y (+ 3/8 (/ x y))))> |
#<alt (* -3/8 y)> |
#<alt (+ (* -1 x) (* -3/8 y))> |
#<alt (+ (* -1 x) (* -3/8 y))> |
#<alt (+ (* -1 x) (* -3/8 y))> |
#<alt (* -1 x)> |
#<alt (* x (- (* -3/8 (/ y x)) 1))> |
#<alt (* x (- (* -3/8 (/ y x)) 1))> |
#<alt (* x (- (* -3/8 (/ y x)) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 3/8 (/ y x)))))> |
#<alt (* -1 (* x (+ 1 (* 3/8 (/ y x)))))> |
#<alt (* -1 (* x (+ 1 (* 3/8 (/ y x)))))> |
#<alt (* 8/3 (/ (pow x 2) y))> |
#<alt (/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)> |
#<alt (/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)> |
#<alt (/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)> |
#<alt (* -3/8 y)> |
#<alt (* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))> |
#<alt (* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))> |
#<alt (* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))> |
#<alt (* -3/8 y)> |
#<alt (* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))> |
#<alt (* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))> |
#<alt (* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))> |
#<alt (* -3/8 y)> |
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))> |
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))> |
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))> |
#<alt (* 8/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))> |
#<alt (* 8/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))> |
#<alt (* -1 (pow x 2))> |
#<alt (- (* 9/64 (pow y 2)) (pow x 2))> |
#<alt (- (* 9/64 (pow y 2)) (pow x 2))> |
#<alt (- (* 9/64 (pow y 2)) (pow x 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))> |
#<alt (* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2)))))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))> |
#<alt (+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))> |
#<alt (+ (* -1 (pow x 2)) (* 9/64 (pow y 2)))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))> |
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))> |
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))> |
#<alt (* -1 (pow x 2))> |
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))> |
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))> |
#<alt (* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (/ 8/3 y)> |
#<alt (+ (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))> |
#<alt (+ (* x (- (* 512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))> |
#<alt (+ (* x (- (* x (+ (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* -3/8 (/ y x))) x)> |
#<alt (/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* 3/8 (/ y x))) x)> |
#<alt (/ (- (+ 1 (* -27/512 (/ (pow y 3) (pow x 3)))) (+ (* -9/64 (/ (pow y 2) (pow x 2))) (* 3/8 (/ y x)))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (* 3/8 (/ y x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* 3/8 y)) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* 3/8 y)) x)) 1) x))> |
#<alt (/ 1 x)> |
#<alt (+ (* -3/8 (/ y (pow x 2))) (/ 1 x))> |
#<alt (+ (* y (- (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))> |
#<alt (+ (* y (- (* y (+ (* -27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))> |
#<alt (/ 8/3 y)> |
#<alt (/ (+ 8/3 (* -64/9 (/ x y))) y)> |
#<alt (/ (- (+ 8/3 (* 512/27 (/ (pow x 2) (pow y 2)))) (* 64/9 (/ x y))) y)> |
#<alt (/ (- (+ 8/3 (* -4096/81 (/ (pow x 3) (pow y 3)))) (+ (* -512/27 (/ (pow x 2) (pow y 2))) (* 64/9 (/ x y)))) y)> |
#<alt (/ 8/3 y)> |
#<alt (* -1 (/ (- (* 64/9 (/ x y)) 8/3) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 512/27 (/ (pow x 2) y)) (* 64/9 x)) y)) 8/3) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* 512/27 (pow x 2))) y)) (* 64/9 x)) y)) 8/3) y))> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (/ (- (* y (* y 9/64)) (* x x)) (* -3/8 y)) |
| 2.0ms | y | @ | inf | (* (/ x y) -64/9) |
| 1.0ms | x | @ | inf | (/ (+ -8/3 (* (/ x y) -64/9)) y) |
| 1.0ms | x | @ | inf | (/ 1 (/ (+ -8/3 (* (/ x y) -64/9)) y)) |
| 0.0ms | x | @ | -inf | (/ 1 (/ (+ -8/3 (* (/ x y) -64/9)) y)) |
| 1× | batch-egg-rewrite |
| 2932× | /-lowering-/.f32 |
| 2932× | /-lowering-/.f64 |
| 2656× | *-lowering-*.f32 |
| 2656× | *-lowering-*.f64 |
| 2036× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 108 |
| 1 | 195 | 96 |
| 2 | 1577 | 95 |
| 0 | 8350 | 95 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ x (* y -3/8)) (* (- x (* y -3/8)) (/ 1 (- x (* y -3/8))))) |
(* (- x (* y -3/8)) (/ 1 (- x (* y -3/8)))) |
(+ x (* y -3/8)) |
(* y -3/8) |
(/ 1 (/ -8/3 y)) |
(/ -8/3 y) |
(/ 1 (/ (+ -8/3 (* (/ x y) -64/9)) y)) |
(/ (+ -8/3 (* (/ x y) -64/9)) y) |
(+ -8/3 (* (/ x y) -64/9)) |
(* (/ x y) -64/9) |
(/ (* (* y y) 9/64) (- (* y -3/8) x)) |
(* (* y y) 9/64) |
(* y y) |
(- (* y -3/8) x) |
(/ (- (* y (* y 9/64)) (* x x)) (* -3/8 y)) |
(- (* y (* y 9/64)) (* x x)) |
(* y (* y 9/64)) |
(* y 9/64) |
(/ 1 (- x (* y -3/8))) |
(* -3/8 y) |
| Outputs |
|---|
(+.f64 x (/.f64 y #s(literal -8/3 binary64))) |
(+.f64 (/.f64 y #s(literal -8/3 binary64)) x) |
(+.f64 (/.f64 y #s(literal -8/3 binary64)) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (/.f64 y #s(literal -8/3 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal -8/3 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal -8/3 binary64))) |
(-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))) |
(-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (/.f64 (-.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x))) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 y #s(literal -8/3 binary64))) |
(fma.f64 y #s(literal -3/8 binary64) x) |
(fma.f64 y #s(literal -3/8 binary64) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 y #s(literal -3/8 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal -3/8 binary64) y x) |
(fma.f64 #s(literal -3/8 binary64) y (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal -3/8 binary64) y (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (/.f64 y #s(literal -8/3 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -8/3 binary64)) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -8/3 binary64)) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -8/3 binary64)) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 3/8 binary64)) x) |
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(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 8/3 binary64) y)) (/.f64 (/.f64 y #s(literal -8/3 binary64)) (/.f64 #s(literal 8/3 binary64) y))) |
(/.f64 (/.f64 y #s(literal -8/3 binary64)) (/.f64 #s(literal -8/3 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) y) (/.f64 #s(literal 8/3 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) y) (/.f64 #s(literal -8/3 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -8/3 binary64) y) (/.f64 #s(literal 8/3 binary64) y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 8/3 binary64) y) (/.f64 #s(literal -8/3 binary64) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))) |
(/.f64 (*.f64 y #s(literal 3/8 binary64)) (/.f64 #s(literal 8/3 binary64) y)) |
(/.f64 (*.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 8/3 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -8/3 binary64) y)) |
(pow.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -2 binary64)) |
(pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))) #s(literal -1 binary64)) |
(*.f64 y (*.f64 y #s(literal 9/64 binary64))) |
(*.f64 y (*.f64 #s(literal -3/8 binary64) (/.f64 y #s(literal -8/3 binary64)))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 y (/.f64 y #s(literal -8/3 binary64)))) |
(*.f64 (/.f64 y #s(literal -8/3 binary64)) (/.f64 y #s(literal -8/3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 8/3 binary64) y) #s(literal -2 binary64))) |
(*.f64 (*.f64 y y) #s(literal 9/64 binary64)) |
(*.f64 #s(literal 9/64 binary64) (*.f64 y y)) |
(*.f64 #s(literal 9/64 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))) |
(*.f64 #s(literal 9/64 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))) |
(*.f64 #s(literal 9/64 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -2 binary64))) |
(*.f64 #s(literal 9/64 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64))) |
(*.f64 (*.f64 y #s(literal 9/64 binary64)) y) |
(*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y #s(literal 3/8 binary64)) (*.f64 y #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (/.f64 y #s(literal -8/3 binary64)) y) #s(literal -3/8 binary64)) |
(*.f64 (*.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal -3/8 binary64)) y) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) #s(literal 9/64 binary64)) |
(*.f64 y #s(literal 9/64 binary64)) |
(*.f64 #s(literal 9/64 binary64) y) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)))) |
(pow.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))) |
(*.f64 (pow.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal -8/3 binary64)) (+.f64 x (/.f64 y #s(literal -8/3 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal -8/3 binary64)) (+.f64 x (/.f64 y #s(literal -8/3 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (+.f64 x (/.f64 y #s(literal -8/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -8/3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -512/27 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal -8/3 binary64)) x) (/.f64 #s(literal -8/3 binary64) y))))) |
(exp.f64 (log.f64 (/.f64 y #s(literal -8/3 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 8/3 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3/8 binary64))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 y #s(literal 3/8 binary64)))) |
(neg.f64 (*.f64 y #s(literal 3/8 binary64))) |
(/.f64 y #s(literal -8/3 binary64)) |
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y)) |
(/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (/.f64 y #s(literal -8/3 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8/3 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 8/3 binary64)) |
(/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal 3/8 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (/.f64 y #s(literal -8/3 binary64))) |
(/.f64 #s(literal 3/8 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -8/3 binary64)) |
(/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) #s(literal -3/8 binary64)) y) |
(/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y) #s(literal -3/8 binary64)) |
(/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) #s(literal 1 binary64)) (/.f64 y #s(literal -8/3 binary64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) #s(literal -3/8 binary64))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y)) #s(literal 3/8 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) #s(literal 1 binary64))) (*.f64 y #s(literal 3/8 binary64))) |
(pow.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))) (/.f64 y #s(literal -8/3 binary64))) #s(literal -1 binary64)) |
(*.f64 y #s(literal -3/8 binary64)) |
(*.f64 y (/.f64 (*.f64 y #s(literal 9/64 binary64)) (/.f64 y #s(literal -8/3 binary64)))) |
(*.f64 #s(literal -3/8 binary64) y) |
(*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 y y) y)) |
(*.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal -8/3 binary64))) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 9/64 binary64) (/.f64 y #s(literal -8/3 binary64)))) |
(*.f64 #s(literal 9/64 binary64) (/.f64 (*.f64 y y) (/.f64 y #s(literal -8/3 binary64)))) |
(*.f64 (*.f64 y #s(literal 9/64 binary64)) (/.f64 y (/.f64 y #s(literal -8/3 binary64)))) |
(*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (/.f64 #s(literal -8/3 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 3/8 binary64))) |
(*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y y) (/.f64 (*.f64 y #s(literal 9/64 binary64)) #s(literal -3/8 binary64))) |
(*.f64 (/.f64 (*.f64 y #s(literal 9/64 binary64)) #s(literal -3/8 binary64)) (/.f64 y y)) |
(*.f64 (/.f64 y #s(literal -3/8 binary64)) (/.f64 (*.f64 y #s(literal 9/64 binary64)) y)) |
(*.f64 (/.f64 (*.f64 y #s(literal 9/64 binary64)) y) (/.f64 y #s(literal -3/8 binary64))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 9/64 binary64)) (/.f64 y #s(literal -8/3 binary64)))) |
(*.f64 (/.f64 (*.f64 y y) y) #s(literal -3/8 binary64)) |
(*.f64 (/.f64 (*.f64 y y) #s(literal -3/8 binary64)) (/.f64 #s(literal 9/64 binary64) y)) |
(*.f64 (/.f64 #s(literal 9/64 binary64) y) (/.f64 (*.f64 y y) #s(literal -3/8 binary64))) |
(*.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 9/64 binary64) (/.f64 y #s(literal -8/3 binary64)))) |
(*.f64 (/.f64 (*.f64 y #s(literal 9/64 binary64)) #s(literal 1 binary64)) (/.f64 y (/.f64 y #s(literal -8/3 binary64)))) |
(*.f64 (pow.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -8/3 binary64) y)) |
(*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 8/3 binary64) y)) |
| 1× | egg-herbie |
| 4292× | *-lowering-*.f32 |
| 4292× | *-lowering-*.f64 |
| 2982× | /-lowering-/.f32 |
| 2982× | /-lowering-/.f64 |
| 1862× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 341 | 2804 |
| 1 | 1113 | 2496 |
| 2 | 3189 | 2428 |
| 0 | 8916 | 2428 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3/8 y) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
x |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(* -3/8 y) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* -3/8 y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(* -3/8 y) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
x |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(* -3/8 y) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* -3/8 y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(/ -8/3 y) |
(/ -8/3 y) |
(/ -8/3 y) |
(/ -8/3 y) |
(/ -8/3 y) |
(/ -8/3 y) |
(/ -8/3 y) |
(/ -8/3 y) |
(/ -8/3 y) |
(/ -8/3 y) |
(/ -8/3 y) |
(/ -8/3 y) |
(* -3/8 y) |
(+ x (* -3/8 y)) |
(+ (* -3/8 y) (* x (+ 1 (* -8/3 (/ x y))))) |
(+ (* -3/8 y) (* x (+ 1 (* x (- (* 64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y))))))) |
(* -9/64 (/ (pow y 2) x)) |
(/ (+ (* -9/64 (pow y 2)) (* 27/512 (/ (pow y 3) x))) x) |
(/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (* 27/512 (/ (pow y 3) x)))) x) |
(/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (+ (* 243/32768 (/ (pow y 5) (pow x 3))) (* 27/512 (/ (pow y 3) x))))) x) |
(* -9/64 (/ (pow y 2) x)) |
(* -1 (/ (+ (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -81/4096 (/ (pow y 4) x)) (* -27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -243/32768 (/ (pow y 5) x)) (* -81/4096 (pow y 4))) x)) (* -27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x)) |
(* -9/64 (/ (pow y 2) x)) |
(* (pow y 2) (- (* 27/512 (/ y (pow x 2))) (* 9/64 (/ 1 x)))) |
(* (pow y 2) (- (* y (+ (* -81/4096 (/ y (pow x 3))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x)))) |
(* (pow y 2) (- (* y (+ (* y (- (* 243/32768 (/ y (pow x 4))) (* 81/4096 (/ 1 (pow x 3))))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x)))) |
(* -3/8 y) |
(* y (- (/ x y) 3/8)) |
(* y (- (* -8/3 (/ (pow x 2) (pow y 2))) (+ 3/8 (* -1 (/ x y))))) |
(* y (- (* 64/9 (/ (pow x 3) (pow y 3))) (+ 3/8 (+ (* -1 (/ x y)) (* 8/3 (/ (pow x 2) (pow y 2))))))) |
(* -3/8 y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ (- (* -8/3 (/ (pow x 2) y)) (* -1 x)) y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ (- (* -1 (/ (- (* -64/9 (/ (pow x 3) y)) (* -8/3 (pow x 2))) y)) (* -1 x)) y))))) |
(/ -8/3 y) |
(- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y))) |
(- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y))) |
(- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y))) |
(* -64/9 (/ x (pow y 2))) |
(* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2)))))) |
(* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2)))))) |
(* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2)))))) |
(* -64/9 (/ x (pow y 2))) |
(* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2)))))) |
(* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2)))))) |
(* -1 (* x (+ (* 8/3 (/ 1 (* x y))) (* 64/9 (/ 1 (pow y 2)))))) |
(* -64/9 (/ x (pow y 2))) |
(/ (+ (* -64/9 x) (* -8/3 y)) (pow y 2)) |
(/ (+ (* -64/9 x) (* -8/3 y)) (pow y 2)) |
(/ (+ (* -64/9 x) (* -8/3 y)) (pow y 2)) |
(/ -8/3 y) |
(/ (- (* -64/9 (/ x y)) 8/3) y) |
(/ (- (* -64/9 (/ x y)) 8/3) y) |
(/ (- (* -64/9 (/ x y)) 8/3) y) |
(/ -8/3 y) |
(* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y)) |
(* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y)) |
(* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y)) |
-8/3 |
(- (* -64/9 (/ x y)) 8/3) |
(- (* -64/9 (/ x y)) 8/3) |
(- (* -64/9 (/ x y)) 8/3) |
(* -64/9 (/ x y)) |
(* -1 (* x (+ (* 64/9 (/ 1 y)) (* 8/3 (/ 1 x))))) |
(* -1 (* x (+ (* 64/9 (/ 1 y)) (* 8/3 (/ 1 x))))) |
(* -1 (* x (+ (* 64/9 (/ 1 y)) (* 8/3 (/ 1 x))))) |
(* -64/9 (/ x y)) |
(* -1 (* x (+ (* 8/3 (/ 1 x)) (* 64/9 (/ 1 y))))) |
(* -1 (* x (+ (* 8/3 (/ 1 x)) (* 64/9 (/ 1 y))))) |
(* -1 (* x (+ (* 8/3 (/ 1 x)) (* 64/9 (/ 1 y))))) |
(* -64/9 (/ x y)) |
(/ (+ (* -64/9 x) (* -8/3 y)) y) |
(/ (+ (* -64/9 x) (* -8/3 y)) y) |
(/ (+ (* -64/9 x) (* -8/3 y)) y) |
-8/3 |
(- (* -64/9 (/ x y)) 8/3) |
(- (* -64/9 (/ x y)) 8/3) |
(- (* -64/9 (/ x y)) 8/3) |
-8/3 |
(- (* -64/9 (/ x y)) 8/3) |
(- (* -64/9 (/ x y)) 8/3) |
(- (* -64/9 (/ x y)) 8/3) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -64/9 (/ x y)) |
(* -9/64 (/ (pow y 2) x)) |
(* (pow y 2) (- (* 27/512 (/ y (pow x 2))) (* 9/64 (/ 1 x)))) |
(* (pow y 2) (- (* y (+ (* -81/4096 (/ y (pow x 3))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x)))) |
(* (pow y 2) (- (* y (+ (* y (- (* 243/32768 (/ y (pow x 4))) (* 81/4096 (/ 1 (pow x 3))))) (* 27/512 (/ 1 (pow x 2))))) (* 9/64 (/ 1 x)))) |
(* -3/8 y) |
(* y (- (/ x y) 3/8)) |
(* y (- (* -8/3 (/ (pow x 2) (pow y 2))) (+ 3/8 (* -1 (/ x y))))) |
(* y (- (* 64/9 (/ (pow x 3) (pow y 3))) (+ 3/8 (+ (* -1 (/ x y)) (* 8/3 (/ (pow x 2) (pow y 2))))))) |
(* -3/8 y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ (- (* -8/3 (/ (pow x 2) y)) (* -1 x)) y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ (- (* -1 (/ (- (* -64/9 (/ (pow x 3) y)) (* -8/3 (pow x 2))) y)) (* -1 x)) y))))) |
(* -3/8 y) |
(+ x (* -3/8 y)) |
(+ (* -3/8 y) (* x (+ 1 (* -8/3 (/ x y))))) |
(+ (* -3/8 y) (* x (+ 1 (* x (- (* 64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y))))))) |
(* -9/64 (/ (pow y 2) x)) |
(/ (+ (* -9/64 (pow y 2)) (* 27/512 (/ (pow y 3) x))) x) |
(/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (* 27/512 (/ (pow y 3) x)))) x) |
(/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (+ (* 243/32768 (/ (pow y 5) (pow x 3))) (* 27/512 (/ (pow y 3) x))))) x) |
(* -9/64 (/ (pow y 2) x)) |
(* -1 (/ (+ (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -81/4096 (/ (pow y 4) x)) (* 27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -243/32768 (/ (pow y 5) x)) (* 81/4096 (pow y 4))) x)) (* 27/512 (pow y 3))) x)) (* 9/64 (pow y 2))) x)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1 x) |
(- (* -3/8 y) x) |
(- (* -3/8 y) x) |
(- (* -3/8 y) x) |
(* -3/8 y) |
(* y (- (* -1 (/ x y)) 3/8)) |
(* y (- (* -1 (/ x y)) 3/8)) |
(* y (- (* -1 (/ x y)) 3/8)) |
(* -3/8 y) |
(* -1 (* y (+ 3/8 (/ x y)))) |
(* -1 (* y (+ 3/8 (/ x y)))) |
(* -1 (* y (+ 3/8 (/ x y)))) |
(* -3/8 y) |
(+ (* -1 x) (* -3/8 y)) |
(+ (* -1 x) (* -3/8 y)) |
(+ (* -1 x) (* -3/8 y)) |
(* -1 x) |
(* x (- (* -3/8 (/ y x)) 1)) |
(* x (- (* -3/8 (/ y x)) 1)) |
(* x (- (* -3/8 (/ y x)) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* 3/8 (/ y x))))) |
(* -1 (* x (+ 1 (* 3/8 (/ y x))))) |
(* -1 (* x (+ 1 (* 3/8 (/ y x))))) |
(* 8/3 (/ (pow x 2) y)) |
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y) |
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y) |
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y) |
(* -3/8 y) |
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8)) |
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8)) |
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8)) |
(* -3/8 y) |
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2)))))) |
(* -3/8 y) |
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) |
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) |
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) |
(* 8/3 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(* 8/3 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(* -1 (pow x 2)) |
(- (* 9/64 (pow y 2)) (pow x 2)) |
(- (* 9/64 (pow y 2)) (pow x 2)) |
(- (* 9/64 (pow y 2)) (pow x 2)) |
(* 9/64 (pow y 2)) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(* 9/64 (pow y 2)) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 9/64 (* -1 (/ (pow x 2) (pow y 2))))) |
(* 9/64 (pow y 2)) |
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2))) |
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2))) |
(+ (* -1 (pow x 2)) (* 9/64 (pow y 2))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(* (pow x 2) (- (* 9/64 (/ (pow y 2) (pow x 2))) 1)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(/ 8/3 y) |
(+ (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y))) |
(+ (* x (- (* 512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y))) |
(+ (* x (- (* x (+ (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y))) |
(/ 1 x) |
(/ (+ 1 (* -3/8 (/ y x))) x) |
(/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* 3/8 (/ y x))) x) |
(/ (- (+ 1 (* -27/512 (/ (pow y 3) (pow x 3)))) (+ (* -9/64 (/ (pow y 2) (pow x 2))) (* 3/8 (/ y x)))) x) |
(/ 1 x) |
(* -1 (/ (- (* 3/8 (/ y x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* 3/8 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* 3/8 y)) x)) 1) x)) |
(/ 1 x) |
(+ (* -3/8 (/ y (pow x 2))) (/ 1 x)) |
(+ (* y (- (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x)) |
(/ 8/3 y) |
(/ (+ 8/3 (* -64/9 (/ x y))) y) |
(/ (- (+ 8/3 (* 512/27 (/ (pow x 2) (pow y 2)))) (* 64/9 (/ x y))) y) |
(/ (- (+ 8/3 (* -4096/81 (/ (pow x 3) (pow y 3)))) (+ (* -512/27 (/ (pow x 2) (pow y 2))) (* 64/9 (/ x y)))) y) |
(/ 8/3 y) |
(* -1 (/ (- (* 64/9 (/ x y)) 8/3) y)) |
(* -1 (/ (- (* -1 (/ (- (* 512/27 (/ (pow x 2) y)) (* 64/9 x)) y)) 8/3) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* 512/27 (pow x 2))) y)) (* 64/9 x)) y)) 8/3) y)) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
| Outputs |
|---|
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64)))) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64)))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64)))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64)))) |
x |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* y (- (/ x y) 3/8)) |
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y))) |
(* y (- (/ x y) 3/8)) |
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y))) |
(* y (- (/ x y) 3/8)) |
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y))) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y))) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64)))) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64)))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64)))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64)))) |
x |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* y (- (/ x y) 3/8)) |
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y))) |
(* y (- (/ x y) 3/8)) |
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y))) |
(* y (- (/ x y) 3/8)) |
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y))) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(*.f64 y (+.f64 #s(literal -3/8 binary64) (/.f64 x y))) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
(/ -8/3 y) |
(/.f64 #s(literal -8/3 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(+ x (* -3/8 y)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x) |
(+ (* -3/8 y) (* x (+ 1 (* -8/3 (/ x y))))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -8/3 binary64)) y)))) |
(+ (* -3/8 y) (* x (+ 1 (* x (- (* 64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y))))))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -8/3 binary64) (/.f64 (*.f64 x #s(literal 64/9 binary64)) y))) y)))) |
(* -9/64 (/ (pow y 2) x)) |
(/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) x) |
(/ (+ (* -9/64 (pow y 2)) (* 27/512 (/ (pow y 3) x))) x) |
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal -9/64 binary64) x) (*.f64 y (/.f64 #s(literal 27/512 binary64) (*.f64 x x))))) |
(/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (* 27/512 (/ (pow y 3) x)))) x) |
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(/ (+ (* -9/64 (pow y 2)) (+ (* -81/4096 (/ (pow y 4) (pow x 2))) (+ (* 243/32768 (/ (pow y 5) (pow x 3))) (* 27/512 (/ (pow y 3) x))))) x) |
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(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
Compiled 32651 to 2942 computations (91% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1532 | 5 | 1537 |
| Fresh | 0 | 0 | 0 |
| Picked | 5 | 0 | 5 |
| Done | 2 | 2 | 4 |
| Total | 1539 | 7 | 1546 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 31.8% | (/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y) #s(literal -3/8 binary64)) |
| ▶ | 50.6% | (/.f64 y #s(literal -8/3 binary64)) |
| ▶ | 50.6% | (/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 99.8% | (+.f64 (/.f64 y #s(literal -8/3 binary64)) x) |
| ▶ | 17.3% | (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 8/3 binary64) y) (*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x))))) |
| ✓ | 50.7% | (*.f64 #s(literal -3/8 binary64) y) |
| ✓ | 51.3% | x |
Compiled 102 to 72 computations (29.4% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 8/3 binary64) y) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 8/3 binary64) y) (*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 8/3 binary64) y) (*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 y #s(literal 9/64 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y #s(literal 9/64 binary64))) |
| ✓ | cost-diff | 256 | (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y) #s(literal -3/8 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (/.f64 y #s(literal -8/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y #s(literal -8/3 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 y #s(literal -8/3 binary64)) x) |
| 6760× | *-lowering-*.f32 |
| 6760× | *-lowering-*.f64 |
| 2960× | cube-prod |
| 1852× | /-lowering-/.f32 |
| 1852× | /-lowering-/.f64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 91 |
| 1 | 49 | 86 |
| 2 | 125 | 80 |
| 3 | 327 | 77 |
| 4 | 1160 | 77 |
| 5 | 2965 | 76 |
| 6 | 3664 | 76 |
| 7 | 4141 | 76 |
| 8 | 4382 | 76 |
| 9 | 4632 | 76 |
| 10 | 5023 | 76 |
| 11 | 5478 | 76 |
| 12 | 5950 | 76 |
| 13 | 6306 | 76 |
| 14 | 6428 | 76 |
| 15 | 6444 | 76 |
| 16 | 6448 | 76 |
| 17 | 6450 | 76 |
| 18 | 6723 | 76 |
| 19 | 7329 | 76 |
| 0 | 8016 | 76 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ y -8/3) x) |
(/ y -8/3) |
y |
-8/3 |
x |
(/ y -8/3) |
y |
-8/3 |
(/ -3/8 (/ 1 y)) |
-3/8 |
(/ 1 y) |
1 |
y |
(/ (/ (* y (* y 9/64)) y) -3/8) |
(/ (* y (* y 9/64)) y) |
(* y (* y 9/64)) |
y |
(* y 9/64) |
9/64 |
-3/8 |
(* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x))))) |
(* x x) |
x |
(+ (/ 8/3 y) (* -3/8 (/ y (* x x)))) |
(/ 8/3 y) |
8/3 |
y |
(* -3/8 (/ y (* x x))) |
-3/8 |
(/ y (* x x)) |
| Outputs |
|---|
(+ (/ y -8/3) x) |
(+.f64 x (/.f64 y #s(literal -8/3 binary64))) |
(/ y -8/3) |
(/.f64 y #s(literal -8/3 binary64)) |
y |
-8/3 |
#s(literal -8/3 binary64) |
x |
(/ y -8/3) |
(/.f64 y #s(literal -8/3 binary64)) |
y |
-8/3 |
#s(literal -8/3 binary64) |
(/ -3/8 (/ 1 y)) |
(/.f64 y #s(literal -8/3 binary64)) |
-3/8 |
#s(literal -3/8 binary64) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(/ (/ (* y (* y 9/64)) y) -3/8) |
(/.f64 y #s(literal -8/3 binary64)) |
(/ (* y (* y 9/64)) y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* y (* y 9/64)) |
(*.f64 y (*.f64 y #s(literal 9/64 binary64))) |
y |
(* y 9/64) |
(*.f64 y #s(literal 9/64 binary64)) |
9/64 |
#s(literal 9/64 binary64) |
-3/8 |
#s(literal -3/8 binary64) |
(* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x))))) |
(+.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)) (/.f64 y #s(literal -8/3 binary64))) |
(* x x) |
(*.f64 x x) |
x |
(+ (/ 8/3 y) (* -3/8 (/ y (* x x)))) |
(+.f64 (/.f64 #s(literal 8/3 binary64) y) (/.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 x x) y))) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
8/3 |
#s(literal 8/3 binary64) |
y |
(* -3/8 (/ y (* x x))) |
(/.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 x x) y)) |
-3/8 |
#s(literal -3/8 binary64) |
(/ y (* x x)) |
(/.f64 y (*.f64 x x)) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 8/3 binary64) y) |
| ✓ | accuracy | 93.4% | (/.f64 y (*.f64 x x)) |
| ✓ | accuracy | 73.4% | (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 8/3 binary64) y) (*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x))))) |
| ✓ | accuracy | 100.0% | (*.f64 y #s(literal 9/64 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y) #s(literal -3/8 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 y #s(literal 9/64 binary64))) |
| ✓ | accuracy | 70.1% | (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 99.7% | (/.f64 y #s(literal -8/3 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 y #s(literal -8/3 binary64)) x) |
| ✓ | accuracy | 99.7% | (/.f64 y #s(literal -8/3 binary64)) |
| 247.0ms | 76× | 5 | exit |
| 81.0ms | 151× | 0 | valid |
| 29.0ms | 29× | 1 | valid |
Compiled 105 to 22 computations (79% saved)
ival-div: 42.0ms (32% of total)...c/correct-round.rkt:119:19: 31.0ms (23.6% of total)ival-mult: 21.0ms (16% of total)backward-pass: 19.0ms (14.5% of total)ival-add: 18.0ms (13.7% of total)const: 1.0ms (0.8% of total)| Inputs |
|---|
#<alt (+ (/ y -8/3) x)> |
#<alt (/ y -8/3)> |
#<alt (/ -3/8 (/ 1 y))> |
#<alt (/ 1 y)> |
#<alt (/ (/ (* y (* y 9/64)) y) -3/8)> |
#<alt (/ (* y (* y 9/64)) y)> |
#<alt (* y (* y 9/64))> |
#<alt (* y 9/64)> |
#<alt (* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x)))))> |
#<alt (* x x)> |
#<alt (+ (/ 8/3 y) (* -3/8 (/ y (* x x))))> |
#<alt (/ 8/3 y)> |
#<alt (/ y (* x x))> |
#<alt (* -3/8 (/ y (* x x)))> |
| Outputs |
|---|
#<alt x> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (* -3/8 y)> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* y (- (/ x y) 3/8))> |
#<alt (* -3/8 y)> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))> |
#<alt (* -3/8 y)> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt (+ x (* -3/8 y))> |
#<alt x> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt (* x (+ 1 (* -3/8 (/ y x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (/ 1 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* -3/8 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 (pow y 2))> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* 9/64 y)> |
#<alt (* -3/8 y)> |
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))> |
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))> |
#<alt (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y)))> |
#<alt (* 8/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))> |
#<alt (* 8/3 (/ (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))> |
#<alt (* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))))> |
#<alt (* 8/3 (/ (pow x 2) y))> |
#<alt (/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)> |
#<alt (/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)> |
#<alt (/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y)> |
#<alt (* -3/8 y)> |
#<alt (* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))> |
#<alt (* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))> |
#<alt (* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8))> |
#<alt (* -3/8 y)> |
#<alt (* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))> |
#<alt (* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))> |
#<alt (* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2))))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 8/3 y)> |
#<alt (/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y)> |
#<alt (/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y)> |
#<alt (/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y)> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2)))))> |
#<alt (* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2)))))> |
#<alt (* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2)))))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2))))))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2))> |
#<alt (/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2))> |
#<alt (/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2))> |
#<alt (/ 8/3 y)> |
#<alt (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))> |
#<alt (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))> |
#<alt (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))> |
#<alt (/ 8/3 y)> |
#<alt (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))> |
#<alt (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))> |
#<alt (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))> |
#<alt (/ 8/3 y)> |
#<alt (/ 8/3 y)> |
#<alt (/ 8/3 y)> |
#<alt (/ 8/3 y)> |
#<alt (/ 8/3 y)> |
#<alt (/ 8/3 y)> |
#<alt (/ 8/3 y)> |
#<alt (/ 8/3 y)> |
#<alt (/ 8/3 y)> |
#<alt (/ 8/3 y)> |
#<alt (/ 8/3 y)> |
#<alt (/ 8/3 y)> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
#<alt (* -3/8 (/ y (pow x 2)))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x))))) |
| 1.0ms | x | @ | 0 | (* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x))))) |
| 1.0ms | y | @ | 0 | (* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x))))) |
| 0.0ms | x | @ | inf | (* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x))))) |
| 0.0ms | y | @ | -inf | (/ y (* x x)) |
| 1× | batch-egg-rewrite |
| 3704× | /-lowering-/.f32 |
| 3704× | /-lowering-/.f64 |
| 3686× | *-lowering-*.f32 |
| 3686× | *-lowering-*.f64 |
| 1542× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 73 |
| 1 | 119 | 67 |
| 2 | 1006 | 61 |
| 0 | 8518 | 61 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ y -8/3) x) |
(/ y -8/3) |
(/ -3/8 (/ 1 y)) |
(/ 1 y) |
(/ (/ (* y (* y 9/64)) y) -3/8) |
(/ (* y (* y 9/64)) y) |
(* y (* y 9/64)) |
(* y 9/64) |
(* (* x x) (+ (/ 8/3 y) (* -3/8 (/ y (* x x))))) |
(* x x) |
(+ (/ 8/3 y) (* -3/8 (/ y (* x x)))) |
(/ 8/3 y) |
(/ y (* x x)) |
(* -3/8 (/ y (* x x))) |
| Outputs |
|---|
(+.f64 (/.f64 y #s(literal -8/3 binary64)) x) |
(+.f64 x (/.f64 y #s(literal -8/3 binary64))) |
(+.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)))) |
(-.f64 x (/.f64 y #s(literal 8/3 binary64))) |
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal -8/3 binary64)) x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 8/3 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (+.f64 x (/.f64 y #s(literal 8/3 binary64))))) |
(fma.f64 y #s(literal -3/8 binary64) x) |
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(*.f64 (+.f64 (*.f64 (/.f64 y #s(literal -8/3 binary64)) y) (*.f64 (*.f64 x x) #s(literal 8/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 512/27 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -512/27 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 64/9 binary64) (*.f64 y y)) (*.f64 (/.f64 (/.f64 y #s(literal -8/3 binary64)) (*.f64 x x)) (+.f64 (/.f64 (/.f64 y #s(literal -8/3 binary64)) (*.f64 x x)) (/.f64 #s(literal -8/3 binary64) y))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 64/9 binary64) (*.f64 y y)) (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 8/3 binary64) y) (/.f64 (/.f64 y #s(literal -8/3 binary64)) (*.f64 x x)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 64/9 binary64) y)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 64/9 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 y #s(literal -8/3 binary64)) (*.f64 x x)) (/.f64 #s(literal -8/3 binary64) y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 8/3 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) y)) |
(neg.f64 (/.f64 #s(literal -8/3 binary64) y)) |
(/.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 8/3 binary64))) |
(/.f64 #s(literal 8/3 binary64) y) |
(/.f64 #s(literal -1 binary64) (/.f64 y #s(literal -8/3 binary64))) |
(pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 8/3 binary64) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -8/3 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x)))) |
(/.f64 y (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 y x) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(pow.f64 (/.f64 (*.f64 x x) y) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) y) x)) |
(/.f64 (/.f64 y #s(literal -8/3 binary64)) (*.f64 x x)) |
(/.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 x x) y)) |
(/.f64 #s(literal -3/8 binary64) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 y #s(literal -8/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) y) #s(literal -3/8 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (/.f64 y #s(literal -8/3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) y)) #s(literal 3/8 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -3/8 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y x) #s(literal -3/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 y #s(literal -8/3 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (/.f64 y #s(literal -8/3 binary64))))) |
(/.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y))) |
(/.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (/.f64 y #s(literal 8/3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -3/8 binary64) x) (/.f64 x y)) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 x y)) x) |
(/.f64 (*.f64 (/.f64 y x) #s(literal -3/8 binary64)) x) |
(/.f64 (/.f64 (/.f64 y #s(literal -8/3 binary64)) x) x) |
(/.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y))) (*.f64 x x)) |
(/.f64 (neg.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 x y))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -3/8 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (/.f64 (/.f64 y #s(literal -8/3 binary64)) x)) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 (*.f64 x x) (/.f64 y #s(literal -8/3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) y) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -3/8 binary64))) |
(*.f64 y (/.f64 #s(literal -3/8 binary64) (*.f64 x x))) |
(*.f64 (/.f64 y #s(literal -8/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal -8/3 binary64)) (*.f64 x x))) |
(*.f64 (/.f64 y (*.f64 x x)) #s(literal -3/8 binary64)) |
(*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x)))) |
(*.f64 (/.f64 y #s(literal 8/3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 y x) (/.f64 #s(literal -3/8 binary64) x)) |
(*.f64 (/.f64 #s(literal -3/8 binary64) x) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y #s(literal -8/3 binary64)) x)) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (/.f64 y x) #s(literal -3/8 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 y #s(literal -8/3 binary64)) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 #s(literal 3/8 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 #s(literal 3/8 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) y) x)) |
(*.f64 (/.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) y) x)) |
| 1× | egg-herbie |
| 2502× | *-lowering-*.f32 |
| 2502× | *-lowering-*.f64 |
| 1984× | fma-lowering-fma.f32 |
| 1984× | fma-lowering-fma.f64 |
| 1788× | fnmadd-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 1209 |
| 1 | 182 | 1053 |
| 2 | 523 | 1050 |
| 3 | 1568 | 1026 |
| 4 | 4758 | 1026 |
| 0 | 8081 | 1026 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(* -3/8 y) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* y (- (/ x y) 3/8)) |
(* -3/8 y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(* -3/8 y) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
(+ x (* -3/8 y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(* x (+ 1 (* -3/8 (/ y x)))) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* -3/8 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 (pow y 2)) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* 9/64 y) |
(* -3/8 y) |
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) |
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) |
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) |
(* 8/3 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(* 8/3 (/ (pow x 2) y)) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(* 8/3 (/ (pow x 2) y)) |
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y) |
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y) |
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y) |
(* -3/8 y) |
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8)) |
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8)) |
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8)) |
(* -3/8 y) |
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2)))))) |
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 8/3 y) |
(/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y) |
(/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y) |
(/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y) |
(* -3/8 (/ y (pow x 2))) |
(* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2))))) |
(* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2))))) |
(* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2))))) |
(* -3/8 (/ y (pow x 2))) |
(* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2)))))) |
(* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2)))))) |
(* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2)))))) |
(* -3/8 (/ y (pow x 2))) |
(/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2)) |
(/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2)) |
(/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2)) |
(/ 8/3 y) |
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))) |
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))) |
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))) |
(/ 8/3 y) |
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))) |
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))) |
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))) |
(/ 8/3 y) |
(/ 8/3 y) |
(/ 8/3 y) |
(/ 8/3 y) |
(/ 8/3 y) |
(/ 8/3 y) |
(/ 8/3 y) |
(/ 8/3 y) |
(/ 8/3 y) |
(/ 8/3 y) |
(/ 8/3 y) |
(/ 8/3 y) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
(* -3/8 (/ y (pow x 2))) |
| Outputs |
|---|
x |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* y (- (/ x y) 3/8)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* y (- (/ x y) 3/8)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* y (- (/ x y) 3/8)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* y (+ 3/8 (* -1 (/ x y))))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(+ x (* -3/8 y)) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
x |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* x (+ 1 (* -3/8 (/ y x)))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
x |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -1 (* x (- (* 3/8 (/ y x)) 1))) |
(+.f64 x (*.f64 #s(literal -3/8 binary64) y)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -3/8 y) |
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(*.f64 #s(literal -3/8 binary64) y) |
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(*.f64 #s(literal -3/8 binary64) y) |
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(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 (pow y 2)) |
(*.f64 #s(literal 9/64 binary64) (*.f64 y y)) |
(* 9/64 (pow y 2)) |
(*.f64 #s(literal 9/64 binary64) (*.f64 y y)) |
(* 9/64 (pow y 2)) |
(*.f64 #s(literal 9/64 binary64) (*.f64 y y)) |
(* 9/64 (pow y 2)) |
(*.f64 #s(literal 9/64 binary64) (*.f64 y y)) |
(* 9/64 (pow y 2)) |
(*.f64 #s(literal 9/64 binary64) (*.f64 y y)) |
(* 9/64 (pow y 2)) |
(*.f64 #s(literal 9/64 binary64) (*.f64 y y)) |
(* 9/64 (pow y 2)) |
(*.f64 #s(literal 9/64 binary64) (*.f64 y y)) |
(* 9/64 (pow y 2)) |
(*.f64 #s(literal 9/64 binary64) (*.f64 y y)) |
(* 9/64 (pow y 2)) |
(*.f64 #s(literal 9/64 binary64) (*.f64 y y)) |
(* 9/64 (pow y 2)) |
(*.f64 #s(literal 9/64 binary64) (*.f64 y y)) |
(* 9/64 (pow y 2)) |
(*.f64 #s(literal 9/64 binary64) (*.f64 y y)) |
(* 9/64 (pow y 2)) |
(*.f64 #s(literal 9/64 binary64) (*.f64 y y)) |
(* 9/64 y) |
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(* 9/64 y) |
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(* 9/64 y) |
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(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
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(* 9/64 y) |
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(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* 9/64 y) |
(*.f64 y #s(literal 9/64 binary64)) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) |
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) |
(+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) |
(* 8/3 (/ (pow x 2) y)) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) |
(* 8/3 (/ (pow x 2) y)) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) |
(* (pow x 2) (+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y)))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) |
(* 8/3 (/ (pow x 2) y)) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y)) |
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y) |
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 8/3 binary64)))) y) |
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y) |
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 8/3 binary64)))) y) |
(/ (+ (* -3/8 (pow y 2)) (* 8/3 (pow x 2))) y) |
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 8/3 binary64)))) y) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) |
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) |
(* y (- (* 8/3 (/ (pow x 2) (pow y 2))) 3/8)) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) |
(* -3/8 y) |
(*.f64 #s(literal -3/8 binary64) y) |
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2)))))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) |
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2)))))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) |
(* -1 (* y (+ 3/8 (* -8/3 (/ (pow x 2) (pow y 2)))))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
(/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y) |
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y y)) x) x)) y) |
(/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y) |
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y y)) x) x)) y) |
(/ (+ 8/3 (* -3/8 (/ (pow y 2) (pow x 2)))) y) |
(/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y y)) x) x)) y) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2))))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y)) |
(* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2))))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y)) |
(* y (- (* 8/3 (/ 1 (pow y 2))) (* 3/8 (/ 1 (pow x 2))))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y)) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2)))))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y)) |
(* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2)))))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y)) |
(* -1 (* y (- (* 3/8 (/ 1 (pow x 2))) (* 8/3 (/ 1 (pow y 2)))))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y)) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) (*.f64 x x)) |
(/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) (*.f64 x x)) |
(/ (+ (* -3/8 y) (* 8/3 (/ (pow x 2) y))) (pow x 2)) |
(/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) y) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 x x) y))) (*.f64 x x)) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y)) |
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y)) |
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y)) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y)) |
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y)) |
(+ (* -3/8 (/ y (pow x 2))) (* 8/3 (/ 1 y))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) (/.f64 #s(literal 8/3 binary64) y)) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
(/ 8/3 y) |
(/.f64 #s(literal 8/3 binary64) y) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
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(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
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(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
(* -3/8 (/ y (pow x 2))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) y) x) x) |
Compiled 17284 to 2028 computations (88.3% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1143 | 1 | 1144 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1145 | 6 | 1151 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.6% | (/.f64 y #s(literal -8/3 binary64)) |
| ✓ | 50.6% | (/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y)) |
| 50.6% | (/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 64/9 binary64) y)) | |
| ✓ | 99.8% | (+.f64 (/.f64 y #s(literal -8/3 binary64)) x) |
| ✓ | 50.7% | (*.f64 #s(literal -3/8 binary64) y) |
| ✓ | 51.3% | x |
Compiled 198 to 83 computations (58.1% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -3/8 binary64) y) |
(/.f64 y #s(literal -8/3 binary64)) |
(+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
(+.f64 (/.f64 y #s(literal -8/3 binary64)) x) |
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 64/9 binary64) y)) |
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y)) |
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
(/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y) #s(literal -3/8 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)) |
(/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) |
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (*.f64 #s(literal -3/8 binary64) y)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 8/3 binary64) y) (*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)))) |
(*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) |
(fma.f64 y #s(literal -3/8 binary64) x) |
| Outputs |
|---|
(fma.f64 y #s(literal -3/8 binary64) x) |
4 calls:
| 7.0ms | (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| 6.0ms | (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
| 6.0ms | x |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| 100.0% | 1 | (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
Compiled 22 to 17 computations (22.7% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -3/8 binary64) y) |
(/.f64 y #s(literal -8/3 binary64)) |
(+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
(+.f64 (/.f64 y #s(literal -8/3 binary64)) x) |
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 64/9 binary64) y)) |
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y)) |
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))) |
(/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y) #s(literal -3/8 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) #s(literal -64/9 binary64))) y)) |
(/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) |
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (*.f64 #s(literal -3/8 binary64) y)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 8/3 binary64) y) (*.f64 #s(literal -3/8 binary64) (/.f64 y (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal -3/8 binary64)) x) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)))) |
(*.f64 (+.f64 x (*.f64 y #s(literal -3/8 binary64))) (*.f64 (-.f64 x (*.f64 y #s(literal -3/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y #s(literal -3/8 binary64)))))) |
| Outputs |
|---|
(+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
4 calls:
| 6.0ms | (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
| 6.0ms | y |
| 6.0ms | (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) |
| 99.9% | 1 | (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) |
Compiled 22 to 17 computations (22.7% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -3/8 binary64) y) |
(/.f64 y #s(literal -8/3 binary64)) |
| Outputs |
|---|
x |
(*.f64 #s(literal -3/8 binary64) y) |
x |
2 calls:
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 3 | x |
| 78.8% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
2 calls:
| 3.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 1 | y |
| 51.3% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.2231998273175024e+31 | 6.5193314968631644e+35 |
| 15.0ms | -3.013483748349875e-93 | -2.617403794309478e-100 |
| 14.0ms | 253× | 0 | valid |
| 2.0ms | 5× | 3 | valid |
| 1.0ms | 11× | 1 | valid |
| 1.0ms | 3× | 2 | valid |
Compiled 184 to 147 computations (20.1% saved)
ival-mult: 3.0ms (39% of total)ival-div: 2.0ms (26% of total)ival-sub: 2.0ms (26% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | if-if-or-not_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 23 |
| 1 | 19 | 23 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y #s(literal -3/8 binary64) x) |
(+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
(if (<=.f64 x #s(literal -1761406937080375/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) x (if (<=.f64 x #s(literal 17500000000000000488718423031808 binary64)) (*.f64 #s(literal -3/8 binary64) y) x)) |
x |
| Outputs |
|---|
(fma.f64 y #s(literal -3/8 binary64) x) |
(+.f64 x (*.f64 y #s(literal -3/8 binary64))) |
(if (<=.f64 x #s(literal -1761406937080375/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) x (if (<=.f64 x #s(literal 17500000000000000488718423031808 binary64)) (*.f64 #s(literal -3/8 binary64) y) x)) |
(if (<=.f64 x #s(literal -1761406937080375/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) x (if (<=.f64 x #s(literal 17500000000000000488718423031808 binary64)) (*.f64 y #s(literal -3/8 binary64)) x)) |
x |
| 3044× | *-lowering-*.f32 |
| 3044× | *-lowering-*.f64 |
| 2620× | /-lowering-/.f32 |
| 2620× | /-lowering-/.f64 |
| 1744× | fnmadd-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 20 | 7 |
| 2 | 177 | 7 |
| 3 | 1925 | 7 |
| 0 | 8564 | 7 |
| 0 | 23 | 138 |
| 1 | 66 | 120 |
| 2 | 186 | 120 |
| 3 | 499 | 120 |
| 4 | 1449 | 120 |
| 5 | 4063 | 120 |
| 6 | 6264 | 120 |
| 0 | 8007 | 120 |
| 0 | 8 | 5 |
| 1 | 15 | 5 |
| 2 | 25 | 4 |
| 3 | 41 | 4 |
| 4 | 59 | 4 |
| 5 | 100 | 4 |
| 6 | 181 | 4 |
| 7 | 285 | 4 |
| 8 | 364 | 4 |
| 9 | 561 | 4 |
| 10 | 681 | 4 |
| 11 | 695 | 4 |
| 0 | 695 | 4 |
| 1× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 77 to 49 computations (36.4% saved)
Compiled 68 to 38 computations (44.1% saved)
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